diff --git "a/data/dm_maths/full_data/1141_11255.jsonl" "b/data/dm_maths/full_data/1141_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1141_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 12 + 1 + (13 - (-19 + (18 - (19 - 23)))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97\/76 - -10\/19. What is the third smallest value in 5, 3, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*h + 135*h**2 - 20*h + (h + 4*h + 0*h)*(-4 + 4 + 2*h) as l*h + w*h**2 + u and give w.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 53*x. Let b(t) = -3*t. Give r(b(j)).\nAnswer: -159*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 + 504*u**2 + 13668*u - 143648 = 0.\nAnswer: -67, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -28 + -16 - -26.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*10.89.\nAnswer: 32.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -98*f**2 + 186*f + 86. Determine q(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**4\/24 - 2*g**2. Suppose 0 = 5*j - 4*j - 4*t - 13, -j + 22 = -t. Let b(i) = 8*i - j*i + 7*i. Determine v(b(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-24))\/(315\/168)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -7. Let m(r) = -2*r**3 + 72*r**2 + 9*r + 6. Let k be m(0). What is the highest common factor of k and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iup when three letters picked without replacement from iuipp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 25 + 27. Let h(k) = -k**2 + 13*k - 2. Let c be h(r). Is 2 - (c - (-975)\/(-5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279 (base 15) to base 9\nAnswer: -686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + 0 + sqrt(28) - sqrt(28) - (6*(0 + sqrt(847)) + sqrt(847))**2).\nAnswer: -41506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + -2 + -2 + 2. Let w = -6 + j. Suppose 2*v + 0*v = 0. Is v at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*k = 3*k + 7, -3*h + 17 = 2*k. Suppose -21 = -h*v + 2*v. Suppose -6 = -2*p - 2. Solve s = p*s - v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 3) + 8*1\/2. Solve -3*d = -4*o + 1, -2*o - 5*d + 2 + 5 = z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n - 38. Let b(f) = -3*f + 17. Let z be b(3). Let c be r(z). Suppose c*l = 47 - 17. Solve -4*i - 2*d + 1 = -5, 4*i - 5*d + l = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 22*x**2 - 302 - 5*x**3 + 2*x**3 - 6*x**2.\nAnswer: -3*x**3 - 28*x**2 - 3*x - 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 881844239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 3\/(-4). Let f = 89 + -88. What is the third biggest value in k, -0.5, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((18\/(-5))\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/12 and 34\/19?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262783209*s**5 + 125*s**2 - 41*s - 3797 wrt s.\nAnswer: -15766992540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 10:22 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imjbjzib. What is prob of picking 1 i, 1 m, 1 b, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5 + 1. Let s(y) = -y**2 + 99*y + 974. Let l be s(108). Suppose 3*k = 7 - 1. Solve -j = -k*c - 3*o, -3*c + 1 = l*c + 4*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1127 and 7?\nAnswer: -0.7889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 + 77 = 2*q - 2*h, 4*q + h - 439 = 0. Calculate the remainder when (-1)\/(-1) - (0 - 8) is divided by (q\/25 + -4)\/((-2)\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -3)\/((-4)\/126*1). Is l less than or equal to -621\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**3 - 11*b**3 + 15*b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 6*f + 4. Let t be q(6). Suppose -2*n + t + 2 = 0. Let v(x) = -7*x - 58. Let m be v(-9). Sort n, m, -10 in decreasing order.\nAnswer: m, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*t = 132, -2*t = 3*x - t - 82. Let d be (3\/9)\/((-3)\/x). Is d < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 3*y**2 + 3*y + 6. Let a(f) = 2*f**3 - 2*f**2 + 2*f + 7. Let n(w) = -3*a(w) + 2*c(w). Find the first derivative of n(z) wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3338.728 centimeters?\nAnswer: 0.03338728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24295 (base 13) to base 11.\nAnswer: -45957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + x - x)*(-6 + 4 - 3)*((-2 + 5 - 4)*(0*x + x - 2*x) - 3 - 9*x + 0*x - 10*x).\nAnswer: 270*x**2 + 45*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 - 2*o**2 + 1. Calculate the remainder when y(-2) is divided by 79\/11 + ((-72)\/(-44))\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 3*o + 3. Let i be n(-3). Let q = -183 + 181. Let z = -2 + 2.3. Which is the biggest value? (a) z (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:23 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-82435)\/(-6690))\/((-1)\/2). Let m = 5\/223 - c. Find the common denominator of m and 28\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) 2\/23 (c) 12 (d) -0.11571\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2 + (1 + 0 - 2)*(-4 - 2 + 4) - 2 - 1 + 1 + 1 + 1 + 1)*(y - 3*y - 3*y) to k*y + a and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 5, w: 2, p: 9}. What is prob of picking 1 p, 1 s, and 1 w?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2054 and (-6)\/((-42)\/3857) + 2?\nAnswer: 14378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - -190. Let n(l) = v - 128 - l - 135. Let c be n(-17). Which is smaller: c or 52\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9*2\/(7\/(28\/(-24))) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.1, -1\/6, 5136.\nAnswer: -3, -1, -1\/6, 0.1, 5136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 9440.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) -17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 588*d**2 - 2858*d*w**3 + 725058*w**3 wrt d?\nAnswer: 1176*d - 2858*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1. Let z = -8 - -13. Let o(u) = 2*u + 6. What is z*l(p) - o(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -80\/9, -5\/6, -0.0754, 0.2, 4, -5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5 - 1. Suppose m*v = -v. Factor 0 + v*w - w**2 - 1\/2*w**3.\nAnswer: -w**2*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 0.14\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -39 + -14 - (4 - 26).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*o + 18 = 0, -o - 27 = -2603*y + 2607*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 282.6 + -330.6. Let x be (-10)\/4*6\/(-15). What is the second biggest value in 0.5, x, z, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9317842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(j + 12*j - j).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -39.8. Sort -3, -4, t in ascending order.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -540162 divided by -2?\nAnswer: 270081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*a + 15 + 2391*a**5 + 131*a - 45*a - 17*a wrt a?\nAnswer: 47820*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154661.303 - -154910. Let r = -0.303 - x. Let d = r + 249.00201. What is d rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 2*k + 2. Let i = -7 - -8. Let o be ((-2)\/10)\/(i\/(-145)). Suppose -5*l + o = a - 2*a, 4*a + 2*l = -6. Give q(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1055 - 511?\nAnswer: -1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 20*k**2 + 3*k + 15. Let i be c(20). What is the highest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 118 = -53940*r + 53970*r, 5*r - 3 = 5*t - 108 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/15))\/z*z**(1\/14)*z)**12)**(18\/7) assuming z is positive.\nAnswer: z**(9108\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/22 + -3\/11. Let y = 1\/40 + -91\/440. Put 3\/5, y, 2\/7, u in ascending order.\nAnswer: y, 2\/7, u, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - 77. Suppose a = g + g. Let u = -12 + g. What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*v - 55*v**2 - 83*v + 11 + 8*v in the form a + g*v + k*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (-5 - 10 - 30) + 25.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 57. Let h(y) = 7*y - 231. Let a(j) = 2*h(j) + 9*r(j). What is a(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1231*j + 313*j - 300*j + 64688 = 0 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*h**2 + 89*h**2 - 2564*h**3 - 51*h**2.\nAnswer: -2564*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1367 * -0.059\nAnswer: 80.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93.1 - -93. Let f be (-32)\/8 + (2 - 0). Let q = f - -3. What is the third smallest value in 5, b, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5181, -9116, -11807, -13254, -13457?\n\"Answer: 622*w**2 - 5801*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, d: 1, o: 2, y: 6, p: 3}. What is prob of picking 2 p?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 37*r - 237. What is d(-16)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 222 (b) 15 (c) 0.4 (d) -84.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 10*p**2 - 23*p - 1. Give l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4 + (-66)\/(-72)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1, -50490 in decreasing order.\nAnswer: 2, -1, -5, -50490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzewzww. What is prob of sequence wwe?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 22 = -2*w, -4*w + 2*w = 3*s - 6. Let g be s + -8 - (-7)\/1. Solve -3*p + 3*c = 15, -4*c = 2*p - g + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-15)*-9 + 102\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16123436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(612\/135))\/((12\/(-96))\/(2\/4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 2*v**4)*((0 + 2 - 3)*(2*v - 3*v - v) + (-2*v + 4*v + 0*v)*(-8974 + 2424 - 552) + (0*v - v + 2*v)*(3 + 3 - 4)).\nAnswer: -28400*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52714512379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 12 = -18*f - 2*x, 4 = 5*f + 3*x. Let m(q) = q + 4. Let a be m(-4). Solve a = -f*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24681 and 1020148.\nAnswer: 3060444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*((3*3*(sqrt(425) + sqrt(425) + -4 + sqrt(425)))**2 + 4).\nAnswer: -38880*sqrt(17) + 1244496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3423)\/504 - 21)*(2 - 2\/2). Which is greater: j or -28?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4 + 14\/4). Let c be 15\/6*4\/5. Suppose -a - 2*o = -4 - 5, c*o - 6 = 0. Solve 2*f - a*f = 3*z + 11, -m*z = 4*f + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 626 = -54. Suppose 0 = 3*j + r + 35. Let c be -1 + -1 - j\/4. What is the third smallest value in 0.2, c, -1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.7 and -1.4?\nAnswer: -20.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/623513 and 56\/1331.\nAnswer: 6858643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 81. Suppose 4*f = 0, i + 3*f + 9 = -3. Is p >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360.54 rounded to the nearest integer?\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i*i**4*i*i)\/i*i)\/i)*i**(-2))**(14\/13)*((i**(-2\/5))**(-41))**(11\/3) assuming i is positive.\nAnswer: i**(10256\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.13515 days in microseconds?\nAnswer: 789276960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/(715\/(-650))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1*p**(-2\/9))\/((p*p\/(p**(7\/5)\/p*p))\/(p\/(p*p*p**(8\/5)\/p))))**(2\/25) assuming p is positive.\nAnswer: p**(-128\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 + 8*k - 2. Let d be m(7). Let b = d + 337. Let o = -132 + b. Calculate the greatest common divisor of 266 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*(-2)\/40)\/(92\/10).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-15))\/(3\/(-120)). Suppose t + d - n = -3*d, 0 = -t - 2*d + 72. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4627.1 - 4626. Which is the biggest value? (a) q (b) 1 (c) 8.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 9*b**2 + 3*b + 12. Let g(y) = 2*y - 15. Let u be g(12). Is a(u) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c + 195 - 370 = -197. What is the closest to -1 in -0.1, c, 2, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 259?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/9? (a) 0.1 (b) -16 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38249140.\nAnswer: 2, 5, 1912457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -68. Sort m, -1, 0.2 in ascending order.\nAnswer: m, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 3836*c\/3 + 1839362\/3.\nAnswer: 2*(c - 959)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12d7 (base 16) to base 11\nAnswer: -3695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-21))**(5\/4)\/((o\/(o\/(o\/(o*o\/(o**(-1\/14)*o)*o)*o)))\/(o*o**(-3\/10)*o)) assuming o is positive.\nAnswer: o**(2049\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110311 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 8597 and -24.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 39.403 micrometers?\nAnswer: 0.039403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 351*j + 1771. Let c be y(-5). Solve 15 = c*m - 11*m + z, -5*m - 2*z + 15 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**6\/6 - j**5\/5 + 6*j**4 + 88*j**3\/3 + 56*j**2 + 48*j - 316. Determine v, given that m(v) = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 2*i**5\/55 - 5*i**4 + 1942*i**3\/11 + 560*i**2 + 6272*i\/11 + 273. Let f(q) = 0. What is q?\nAnswer: -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -44 - (9 + 6 - -6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g**3*o**2 + 233*g**3 - 2*g**2*o**2 - 2*g**2*o + 2994*g*o**2 - 334 wrt o?\nAnswer: 12*g**3 - 4*g**2 + 5988*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 105 (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 + 179. Let y(x) = -16*x**3 + x + 8. Is 8 a factor of y(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 15. Let k be a(-10). Suppose c = -4*o - k, -c = -4*c + o + 24. Suppose 2*i + n = -2*n + 9, -3*i + c = -2*n. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n - 20. Suppose n*x + 104 = -1. Calculate the least common multiple of (-14)\/x*63\/6 and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(192) + (6*(0 + sqrt(192)) - sqrt(192)) + 3 + sqrt(192) + -1) + -5 + 5)**2.\nAnswer: 224*sqrt(3) + 9412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586350201 to the power of 1\/2, to the nearest integer?\nAnswer: 24215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17\/3, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by (40\/(-48))\/((-9)\/270)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 0 - 1 - -2. Suppose c - 4 = i. Calculate the remainder when 20 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 13 - (78 + -37 + -47).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdst when four letters picked without replacement from {g: 2, c: 1, t: 3, d: 2, b: 2, s: 4}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 81*i**2 - 38*i**2 - 42*i**2. Let v(j) = -3*j**2 - 3*j**2 - 5*j**2. Determine r(v(u)).\nAnswer: 121*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - b0dd?\nAnswer: -b101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 < -78\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-35) + 6\/(-15). Solve -5*z = -4*z - 3*s + 7, a = -3*z + 4*s - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + n**2 + 2*n + 1. Let a be h(-1). Let o = 3 - a. Let f = o - 2. Solve -3 - 5 = f*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176740, -1, 3 in decreasing order.\nAnswer: 176740, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121143, 121141, 121139, 121137?\nAnswer: 121135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6692 = -18*p - 6638. Suppose -k = -d - 2*k + 6, -2 = -d + 3*k. Let r = -4 + d. Solve -2*o + r = p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 0. Let x(k) be the third derivative of -k**7\/5040 + k**6\/120 - k**5\/60 - k**3\/3 + 15*k**2 - 1. Let z(p) be the third derivative of x(p). Give z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:47 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341820609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 60676.85 hours?\nAnswer: 218436660000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - 1. Let j be (7 + -8)\/(1\/2). Calculate the least common multiple of 2 and k(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 0.35, 7085.\nAnswer: -4, -0.1, 0.35, 7085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.1. Put -2, k, 0.02 in descending order.\nAnswer: 0.02, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**6\/45 + t**5\/2 - 23*t**4\/6 + 65*t**3\/9 + 50*t**2 + 2*t + 3. Solve u(p) = 0.\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Let z = -1645.05 - -1645. Let u be (-2)\/(-72) - 1\/4. Put y, u, z in increasing order.\nAnswer: u, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 237*a - 246*a - 80 = 0, 2*k = -5*a - 54 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 530*b*f - 3280161*b + 4931*f**3 wrt f?\nAnswer: 530*b + 14793*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/1*10\/(-15). Suppose o - 2 = 4*i. Calculate the greatest common factor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(-4 + sqrt(75) + 1) + -5.\nAnswer: -16 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/4 - 5*u**4\/12 - 25*u**3\/6 - 15*u**2\/2 - 2*u + 8. Suppose f(g) = 0. Calculate g.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16959414 is divided by 16959406?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:46 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01646 - 51.15646. Let m = d - -51. Suppose 18 = -2*q - 4*v, -q + 4*v = 3*q - 24. Sort q, -1\/3, m, -1\/7 in descending order.\nAnswer: q, m, -1\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 7*t + 1. Let c be u(-6). Let d = 5 - 5. Suppose d = 4*k - 2*w - 14, 3*k - 2*k + c = -3*w. Is 0 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -3*c + 3*m + m + 5, 4 = m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 d when four letters picked without replacement from {g: 4, q: 2, u: 2, p: 2, d: 4}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-1)\/(15\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648597 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 61, 105, 169, 259, 381, 541?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18494672 and 343952.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22346 - 364?\nAnswer: -23043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 29. Solve 5*j = -5*c, -4*c + 0*c + o = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*x + 11, 0*x - 5 = -3*x - 4*m. Suppose -3*u + 2*k + 2135 = -2*k, -x*u = 4*k - 2143. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 277 = 109 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14845654, -29691295, -44536938, -59382583, -74228230?\n\"Answer: -z**2 - 14845638*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**5\/60 + c**4\/8 - 2*c**2. Let n be x(-4). Let y = 10 - n. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*m + 3355175, 3*c - 5*m - 1185951 = -3702376. What is c rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140.5997472 + 140.6. What is s rounded to 6 dps?\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1872) - sqrt(1872)*-2*1)**2.\nAnswer: 16846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 239.\nAnswer: 58\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33399, -33392, -33385, -33378?\nAnswer: -33371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -143, -236, -355, -506, -695, -928?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*y - 0*c - c, 4*y - 2*c - 114 = 0. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -10. Suppose 38 = -5*f + 8. Calculate the least common multiple of i and f\/15 - (-576)\/15.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684131 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15723\/20 + 3913\/5. Calculate the common denominator of d and -97\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 68980308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1646 + -869. Is 37 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 + l**2 - 3*l - 1. Let n(b) = 7*b**2 - b - 1. What is the remainder when u(3) is divided by n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -0*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpoodypoypdnzdy. What is prob of picking 1 z, 1 d, 1 y, and 1 o?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 21 = 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 24. Round f to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 20*b - 108. Calculate u(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e106 - -d2?\nAnswer: 4e1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11605 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: Differentiate 4*i**2*x**2 - 2*i**2*x - i*x**3 - 8*i - 175*x**3 - 6*x**2 with respect to i.\nAnswer: 8*i*x**2 - 4*i*x - x**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227878296 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 234, 535, 958, 1503, 2170?\nAnswer: 2959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36262 or 36259?\nAnswer: 36259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3556379 rounded to 3 dps?\nAnswer: 0.356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 207*t**2 - 2*t**3 + 209*t**2 + 0*t**3 + 5*t**3 - t**3 + t - 2*t**4 in the form i*t**2 + j*t + g*t**3 + r*t**4 + v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 621 and 414?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 22, 46, -8, -5 in decreasing order.\nAnswer: 46, 22, 14, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1000101 (base 2) to base 5\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/145 - 877\/1015. What is the third smallest value in -0.56, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((-25)\/5)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*(sqrt(10) + sqrt(10) + (sqrt(250) - (sqrt(250) + sqrt(250)*-2)))\/sqrt(2).\nAnswer: 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(117) + 2 + sqrt(117))**2) + -3 + sqrt(39)\/sqrt(3))*6.\nAnswer: -2850 - 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < -25.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 5*t + 5. Let k be f(-4). Let v be 1*(12\/3)\/k. Suppose -v*s - 2*i = -480, 5*s - 564 - 33 = -i. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 47 - 7. Suppose -m*r = -13*r - 1045. Let w be (-38)\/r - 180\/(-22). What is the greatest common divisor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 216 = -c. Suppose -5*q + c = -q. Let g(h) = -7*h + 124. Calculate the least common multiple of q and g(16).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(882\/(-90))*(-72)\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(3*z**2 - 2*z**2 - 3*z**2) + (3*z + 16 - 16)*(2*z + z - 8*z).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**2 - 4*l**2 - 10*l**3 - 12*l**4 + 10*l**3 wrt l?\nAnswer: -288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.21 - 2.31. Let f = -5 - -9. What is the closest to s in f, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*l**3 + 15651*l**2 - 5105160*l + 1275312.\nAnswer: -3*(l - 652)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 1. Let l(g) = -2*g**2 + 3*g + 3. Let i(z) = -l(z) + 3*m(z). Let c(v) = 12*v**2. What is c(i(d))?\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -68. Suppose -5*t + 1472 = -2*f, t = 6*t + 2*f - 1488. Calculate the smallest common multiple of y\/21 + t\/28 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(12)*-1)\/(sqrt(18)\/sqrt(3)*1 + sqrt(6)) + ((-2*sqrt(16))\/sqrt(8) - (-5 + -4 + sqrt(2))).\nAnswer: -6*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + d**2 + 4*d. Let s(m) = 12*m**3 + 3*m**2 + 17*m. Give 2*s(p) - 9*u(p).\nAnswer: -3*p**3 - 3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayyylllaayyaaua. What is prob of sequence alyl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/268 and -37\/6?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8467704 divided by 18.\nAnswer: -470428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 - 28*o**3 + 130*o**2 - 200*o = 0. Calculate o.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709 - 709 + 1714*o**2.\nAnswer: 1714*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**4 - 14*l**3 + 153*l + 3. Let b(i) = -i**3 + 1. Let a(x) = 3*b(x) - v(x). What is the second derivative of a(y) wrt y?\nAnswer: -96*y**2 + 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-3 - 100\/(-12))*(-75)\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 4. Suppose 3 = -a + q*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*h + 5, 8*h - 8 = 5*a + 7*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -413*t**6\/120 - 243*t**5\/20 + 4*t**2 + 139. What is the third derivative of s(j) wrt j?\nAnswer: -2478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10505*q**2 + 22998*q + 1.\nAnswer: 21010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 + 2 - f**3 + 5 - 1 + f. What is the tens digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0*x**2 + 5*x - x**2 + 0*x**2. Let r be w(4). Suppose -4*j + r*y - y + 12 = 0, -15 = -5*j + y. Solve -29 = -j*v + 8*v - 3*f, -5*v - f = 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4846 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1807443 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 895 + 2\/(6 + 32\/(-6)). Let h = 1261 - c. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45938, 91906, 137874?\nAnswer: 183842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2\/15 - 654*i - 39272\/15 = 0.\nAnswer: -4, 4909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/77 and (-1143)\/(-189) - 2\/6.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5545 divided by 5\nAnswer: -1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1660, 1763, 1890, 2053, 2264, 2535?\n\"Answer: 2*h**3 + 89*h + 1569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -1\/10, 2\/17, -1\/2, 0, -332277?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Let t(z) = z**3 - 4*z**2 + 1. Let m be t(u). Suppose -19 = -a - 3*f, -2*a + 3*a - 3*f - m = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*t - 1, 4*t + 4 = 3*z + z. What are the prime factors of 6 + 1*(-6)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -895*p + 1726*p - 270 + 1920 = 861*p for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14972030 and 1270?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175549241*n**2 + 3*n + 1012308?\nAnswer: 351098482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:26 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*u**2 + 19*u**2 - 49*u**2.\nAnswer: 67*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*s - 6, 5 = 7*s - 12*s. Let v = 4.92 + 0.08. Let l = v - 4. What is the nearest to n in l, -5, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13543 is divided by 1229?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1444.5252 minutes?\nAnswer: 24.07542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69132.28 millilitres?\nAnswer: 69.13228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 180687.181 rounded to the nearest one hundred?\nAnswer: 180700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*(-9)\/(-6)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4684400 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 121114 or 121110?\nAnswer: 121114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47747112397587 plus 0.3?\nAnswer: 47747112397587.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -5 (b) -1\/4 (c) 0.4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 5*y**2 - 6*y + 4. Let u = 11 - 5. Let d be w(u). Let z be 0\/(-2) + -14 + 12. What is the nearest to -1 in d, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 1\/12*c**4 - c + 1\/20*c**5 + 0*c**3 + 0 - 1\/2*c**2. Suppose -3*d - 4 = -d. Determine y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 21795?\nAnswer: 828210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59816 * -36.\nAnswer: -2153376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 1. Suppose 2*b + k = -16, 3*k - a - 5 = 4*b. Let w be 10*((-3)\/b + 0). Solve d = -4, 4*l = l - w*d - 26 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 382\/440119 or 0?\nAnswer: 382\/440119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 1)*(0*r - r + 3*r + (-2 - r + 2)*(1 - 3 + 0)) as i*r + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n**2 - 21*n - 2*n + 92*n - 17*n - 23*n to o + t*n + v*n**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(152)*-1 + sqrt(152) - sqrt(152)) + sqrt(152))\/(sqrt(72)*-5).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545663?\nAnswer: 545663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -164 + 3420329.181.\nAnswer: 3420165.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v = -14. Suppose -g + v = -3*g. Is (-2)\/g + (-4299)\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -6. Suppose 2*k - t = 77. Does 3 divide k\/15 - (-2)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 4:17 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 2 - 8 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - b - 110 = -139, -5*b + 61 = k. What is the greatest common factor of k and 3017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 525, 16, -1, -5.\nAnswer: -5, -1, 5, 16, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 538\/7 <= 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a factor of 45047210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1076, -2\/35, 3598 in descending order.\nAnswer: 3598, 1076, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/((-360)\/(-50))*52\/(-10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19363525.89 to the nearest 100000.\nAnswer: -19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -20*w**2 + 76*w + 4*w**2 + w**2 - 9*w**2 + 0*w**2. Let z be q(3). Solve -z*v + 13*v - 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -8. Suppose s = -7*a + 10*a. Let p(m) = -m**3 + 2*m**2 - 2*m + 1. Let l(i) = i**2 - i + 1. Let y(c) = -5*l(c) - p(c). Determine y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.3222631\nAnswer: -0.12890524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 16*r - 1 = 15*r, 6 = 3*s - 4*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/666 and -119\/5994.\nAnswer: 5994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*6*(-6)\/108*(-3)\/7.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.4 - 1198730.\nAnswer: -1198714.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 1 + 1 + (-3*w + 0*w + w)*(1 - 1 + 2*w) + (115*w + 114*w - 225*w)*(0 + 0 - w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*a - t - 68, -5*t + 17 = 4*a. Let p be 2*-7*(12\/a - 2). Let d(v) = -v**2 + 0*v**2 + 38*v + 28*v**3 - 39*v - p*v**3. Determine d(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 3 (b) -351 (c) 1627\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/5 + 2*g**4\/5 - 2*g**3\/5 - 2*g**2\/5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 0, 4*q + 0 + 4 = -y. Let c be ((-65)\/(-2 - q))\/1. Suppose w - n - 8 = 1, n - 17 = -w. Calculate the highest common divisor of c and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267.7904*-0.1.\nAnswer: -26.77904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Suppose 3*u - 2*u - g = 0. Suppose -11 = 24*p + 13. Sort p, 4, u.\nAnswer: p, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let v(m) = m + m - 2*m + 1 - q*m. What are the prime factors of v(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1180 + 1345. Solve 8 = g*b - 169*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2686855 to the nearest integer?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, 4, -0.1, -14, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*l - 122*l = -3*t + 13494, -2*t = -5*l - 8986. What is the remainder when t is divided by 2254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4755426*a**6 + 4*a**2 + 9*a + 895?\nAnswer: 570651120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2329291, 2328642, 2327561, 2326048?\n\"Answer: -216*y**2 - y + 2329508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 1\/3*h**3 - 2*h**2 + 0 - 1\/12*h**5 + 1\/120*h**6 + 0*h + 1\/6*h**4. What are the prime factors of c(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1352\/17 - 2\/17*m**2 + 104\/17*m = 0. What is m?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6655) + sqrt(2695)*1)\/(1*(sqrt(1331) - (sqrt(1331) - 3*sqrt(1331) - sqrt(1331))))*-5.\nAnswer: 5*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*u = 109, -2*s + 2*u = 16 - 66. Solve -5*h + s - 16 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.034 * 3299.\nAnswer: 112.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2840 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -435*n + 46612. What is j(107)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23569979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuyuueyy. Give prob of picking 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 + 13 = 0. Let m be (2\/f)\/(13 - 15). Let c be (-3)\/2*24\/27. Put -0.5, m, c in increasing order.\nAnswer: c, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3 + 2 + x - 2 + 3*x + 2*x**3. Let s(q) = 2*q**3 + 5*q - 4. Let d(a) = -a**3 - 8*a**2 - 8*a - 11. Let i be d(-7). Give i*s(z) + 5*j(z).\nAnswer: 2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*l - 6. Suppose -f = 1, 2*f = -g - 2*g - 5. Which is the nearest to g? (a) 0.2 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21362 + 21360. Let m = -14 + 9. Let g = 9\/7 + -57\/28. Which is the closest to s? (a) -0.5 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:40 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 462.34 + 1.66. Let b = -464.00241 + o. What is b rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(153)*-2 + 4)*-3 + (-1 + sqrt(153))*-4 + 3 + 0 + -1)**2.\nAnswer: -12672*sqrt(17) + 161028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -274 + -2?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 13.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9812 - 5421. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1352, -2706, -4058, -5408, -6756?\n\"Answer: c**2 - 1357*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -202*s**2 + 8*s - 23. Let l(w) = 203*w**2 - 7*w + 19. What is 6*l(n) + 5*t(n)?\nAnswer: 208*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**3 - 80*w**2 - 11*w + 208. Calculate v(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9317 + -46371\/5. Let v = -44 + l. What is the nearest to 4.7 in v, 1\/4, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1383 and 310326299?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088000 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1984*j**2 - 6286*j**2 + 2338*j**2 + 1966*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 32, -1, -4, -2\/13.\nAnswer: -4, -1, -2\/13, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Suppose 5*c - 3*d - 86 = 0, k*d = -3*c + 86 - 17. Let n(q) = -q**2 + 11*q - 24. What is the remainder when c is divided by n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -2010?\nAnswer: 7\/2010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -174682 (base 9) in base 14?\nAnswer: -2b748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3\/3 + 2997775*f**2\/3.\nAnswer: -5*f**2*(f - 599555)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 - 196.00053. What is a rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43*k*o*z + 2*k*o + 41255*k*z - 142*o*z + 3*z wrt o?\nAnswer: -43*k*z + 2*k - 142*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yru when three letters picked without replacement from rrryururyyyyrrr.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -122200000 (base 3) to base 9\nAnswer: -18600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**3 - 1117*b**2 + 639*b - 490. Give x(159).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 8 = 0, -22*h + 27*h = 5*j - 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 n when three letters picked without replacement from tnqqnqtq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 v, and 1 o when four letters picked without replacement from vfoddvd.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 3*a + 15, 2*k = 2*a + 118 - 108 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 33 + 14)*(-5 + 8*r + 5)*(1 + 0 - 5).\nAnswer: 800*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-160 + 80 + 145 - 356 - 445)*(15 - 6*n - 15).\nAnswer: 4416*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*w - 48 = 0. Let t = 4 - w. What are the prime factors of 8\/20 - (-286)\/t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-4))\/4*3\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/66)\/((-2982)\/4686).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = -2*x - 26, -x - 77 = 4*l. Let j = l - -22. Solve 0 = j*r + 1 + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 5*y. Let v be k(4). Let c be 6\/(-2)*v\/(-30). Suppose 14*i - 1 = -1. What is the third smallest value in -1\/3, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -196, -294, -442, -646?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**27\/(t*t**(-30\/7))*t**(10\/13)\/t**(5\/3) assuming t is positive.\nAnswer: t**(8023\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 845260511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -166\/511963 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 240.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*k + 42 - 40 - 61*k + 28*k as t*k + c and give t.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 15 = 0. Factor 14*t**2 - 9*t**b + 12 + 24*t - 7*t**2 - 4*t**2.\nAnswer: -3*(t - 2)*(t + 1)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 59*x. Let d be p(12). What is the greatest common divisor of 192 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-3 - -3) + 1. Suppose n*z = -2, 4*y - 513 = z + 4*z. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 2, a: 1, f: 4, i: 2}. Give prob of sequence fiaf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 16 = -3*k - 3*w, 2*k + 14 = -4*w. Suppose k*q - 964 = -244. Suppose -2*v - q = -5*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*b, 4*b = -3*q + 3*b + 27. Suppose -q*y + 14*y = -36. Is -8 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379013, 379011, 379009, 379007, 379005, 379003?\nAnswer: 379001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(41\/1230)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7)\/l*l*l*l)\/l**(2\/11))\/(((l*(l*l\/(l\/l**(-4)))\/l)\/l)\/l**(2\/15))*(l**(3\/5)*l*l**(3\/5)\/l*l)\/(l**(1\/2)*l)**11 assuming l is positive.\nAnswer: l**(-1013\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 11*k + 12. What is the remainder when q(-15) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653851.\nAnswer: 11, 59441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/24*-3*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*f = -546*f + 150 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:55 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -37*c**6\/15 + 205*c**3\/6 + 207*c**2. What is the derivative of r(m) wrt m?\nAnswer: -888*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8291176 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**3 - 712*w**2 - 959*w + 174. Calculate a(120).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let l(r) = 45*r**2 - 6*r - 15. Let q(v) = 6*h(v) - l(v). Find the first derivative of q(i) wrt i.\nAnswer: -90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 18. Let s(q) = 1. Let h(l) = a(l) - 18*s(l). Let n(w) = 1. Let t(x) = -x - 1. Let p(y) = -n(y) - t(y). Give h(p(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 + (-8 - (-8 - (3 - 5)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1305\/6*(4\/30 - (-408)\/15).\nAnswer: 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -w - 0, 5*w - 30 = -a. Calculate the lowest common multiple of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 + 3*v**2. Let h(o) = -o**3 - o**2. Suppose 74 + 574 = -54*a. Determine a*h(n) - 4*r(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 64. What is the closest to 1 in x, -1\/6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 704000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.123 - 0.977. What is the nearest to 2\/3 in -0.4, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 452390 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13985382444954 - -5.\nAnswer: 13985382444959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87469843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517 = -76*k + 319. What is the highest common divisor of 374 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 = -3*a + 126. Suppose -j = 4*j - m - 285, -a = -3*j + m. What is the remainder when j is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 52*d + 146. Determine s(-49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5 - 362*g**4\/5 - 2558*g**3\/5 - 1534*g**2\/5 + 2448*g - 7776\/5 = 0.\nAnswer: -27, -36\/5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3)*2 + (0 + sqrt(18) + sqrt(2))**2.\nAnswer: 2*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/12)\/(1\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 7*v - 14. What is n(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 5. Let y be r(7). Let u = y + 6. Suppose -4 = h + 3*m + 2, 0 = -4*h - m + 9. Calculate the remainder when u is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(1872) - sqrt(1872))*5)**2 - sqrt(1872).\nAnswer: -12*sqrt(13) + 1170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -169 >= -0.001504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/((24\/48)\/((-1)\/10) - -3). Let h(d) = 4*d**3 - 6*d. Let u(m) = 4*m**3 - 5*m + 1. What is t*u(g) - 5*h(g)?\nAnswer: 4*g**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 - 6 = 5*g, 5*g - 2 = -n. Suppose -78 = -4*q - 2*k, g*q = 2*q + 4*k - 24. Calculate the highest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - a = 9*b - 1, -3*b = -a + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -180, -142, -78, 18?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2192719 to the nearest 1000.\nAnswer: 2193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.55 and 2064609.\nAnswer: 2064609.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6936*c - 9 + 6943*c - 13840*c to the form b*c + i and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1025, -6983, -23189, -54767, -106841, -184535, -292973?\nAnswer: -437279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 19 = 3*j, 11*f - 2*j = 6*f. What is the units digit of (3\/(-4))\/(f\/200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866045 is divided by 195?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 104904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 16 = s. Let n be ((-32)\/10)\/(22\/605). Let z = -48 - n. What is the greatest common factor of z and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-378)*(-35)\/105.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*n**3\/17 - 610*n**2\/17 - 512*n\/17 - 104\/17 = 0.\nAnswer: -2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Let f be (4\/(-16))\/(1 - -1). Let h = -5\/8 - f. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 119\/(-34)*(-24)\/7. Solve 0 = 2*n + 2 - s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.087 times 2944.8\nAnswer: 256.1976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 948470374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 4*g + 10 + 35, -5*y = 4*g + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 26*u**2 - 85*u + 10. What is n(3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -139*o**4\/3 + 352*o**3\/3 + 3*o + 14. What is the second derivative of y(x) wrt x?\nAnswer: -1112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 194, 254, 384, 608?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181000234*-0.4.\nAnswer: 72400093.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 852985?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, r: 2, b: 2, j: 1, k: 5, i: 1}. What is prob of sequence wkbr?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*2 + (sqrt(378) + (sqrt(378)*1 - sqrt(378)))\/sqrt(6) + 6*(sqrt(7623) + -1))*4 + -4)**2.\nAnswer: -47712*sqrt(7) + 5082112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, 1, 0.8, -11 in increasing order.\nAnswer: -11, -1, 2\/5, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 15*l = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 687319, 687317, 687315?\n\"Answer: -2*o + 687321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2. Let t(s) = 829933*s**2. Give t(k(z)).\nAnswer: 829933*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1355880 to the nearest ten thousand.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = 1121871 - 3496669. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/4 and 117\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 179609591 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2524\/7 + -360. Let 18\/7*p**2 + 0 + f*p + 24\/7*p**3 + 10\/7*p**4 = 0. What is p?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97.2 - 97. Let i = 3 + -6. What is the second biggest value in i, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -21 + 9)\/((-1)\/2). Let d(k) = -k**3 + 9*k**2 + 7*k + 34. Let h be d(m). Solve -6 = 5*q + 5*o - 1, -h*q = -o + 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d - 23*d + 48*d - 91357.\nAnswer: 2*d - 91357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l**2 - 3*l - 36. Let a be b(-5). Let f be 8\/((a - -4) + -6). Solve f*u + 4*y = 0, -5*u + y - 14 = -y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(350\/20))\/(4\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72.099 - 72. Let h = m - 0.199. Put -5, 0.4, h, 4 in decreasing order.\nAnswer: 4, 0.4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 38076711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -465221\/1156839 + -2\/13297. Let n = o + 2\/29. Which is the nearest to n? (a) -3 (b) -0.14 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - 6*g - 7. Let r(j) be the third derivative of -j**5\/12 + 7*j**4\/24 + 4*j**3\/3 + j**2. Determine -6*c(z) - 5*r(z).\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:31 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2 - 4)*(-4)\/(-30). Which is the smallest value? (a) -2\/9 (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -14 - (22 + (5 - 37)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11927457.\nAnswer: 3, 1325273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -38. Suppose -2904 = -3*c - 0*c - 3*d, -w*c = d - 1940. Suppose -4*u + 10*u - c = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b - 3, 2*c = 2*b + 2662. What is the least common multiple of 592 and c?\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/((120\/(-90))\/((-24)\/9))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -28. Let u = 0.08 + 0.22. Let i = 0.157 - -3.843. What is the fourth biggest value in i, v, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -366 + 374. Solve 0 = 3*o - q - 1, -q - 1 = s*o - 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48087.44 microseconds to milliseconds.\nAnswer: 48.08744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/7))**(-28) assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 426 + 299*l**3 + l + l**2 - 607*l**3 - l + 306*l**3 to m*l**3 + f + b*l**2 + x*l and give f.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -589 - 395. List the prime factors of d.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5 - 958*b**4 + 2830*b**3 + 12478*b**2 - 48624*b + 34272 = 0.\nAnswer: -4, 1, 3, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075176985 to the power of 1\/2, to the nearest integer?\nAnswer: 32790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w. Let t(s) = 3*s**2 - 495*s + 245*s - 2*s**2 + 267*s. Determine t(y(k)).\nAnswer: 25*k**2 - 85*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (26 + -12 - 13 - 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -1 - ((-37 - -19) + 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (3 + 1) - (81 + -30 - 30).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5\/9 + 706*t**4\/9 - 20378*t**3\/3 - 225082*t**2\/9 + 3137072*t\/9 - 316840 = 0.\nAnswer: -9, 1, 5, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 78*f**3 - f**2 + f - 3. Let w(c) = -156*c**3 + 3*c**2 - 2*c + 8. Let y(h) = -5*k(h) - 2*w(h). What is the tens digit of y(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.081872m to millimeters.\nAnswer: 6081.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458034931.\nAnswer: 29537, 49363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {i: 5, f: 1, g: 1, x: 1, z: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/60 + 988*i**2 + 1. Let g(d) = -2259*d**2. Determine o(g(m)).\nAnswer: 5103081*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.3*-0.3.\nAnswer: -6.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 721 - 721 - 28*b**3 + 4*b**3 + 4*b**3 - 7*b**3 + (4*b - 2*b + 0*b)*(b**2 + b - b) + b**3 + 2*b**3 - b**3.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzzkzkzpkpzkpzkkpz. Give prob of picking 3 k.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k + 40. Let w be j(10). Which is smaller: -2\/19 or w?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212829443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-42)\/(-8))*(-2)\/5\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 9. What is the least common multiple of c(7) and ((-78)\/12 - -2)*-4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1636 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*j = -700, -4*j - 540 + 10 = 3*a. Let k be a\/(-45) + 2\/9. Suppose -4*p + k = -48. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 448*r**2 + 457*r**2 + 450*r**2 - 1357*r**2. Let b(q) = -82*q. Give t(b(z)).\nAnswer: -13448*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1710 - -5132\/3. Let s(p) be the third derivative of 0*p - 1\/60*p**5 - 3*p**2 + z*p**3 + 0*p**4 + 0. Give s(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {u: 3, m: 1, n: 1, v: 1, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4\/3, 1, -544\/611 in increasing order.\nAnswer: -544\/611, -0.4, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1 - (1 + 0). Let z = 3 - r. Suppose z*i = j + 3*i - 5, -4*j + 5*i + 2 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(891) + 4 + sqrt(11) - (sqrt(1100)*-4 - sqrt(1100))**2) + (sqrt(33)*2)\/sqrt(3) + (-3*sqrt(66) - sqrt(66))\/sqrt(6).\nAnswer: -27496 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, q: 1, n: 3, c: 1, y: 4}. What is prob of sequence cnq?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = 392 - 3992. What is the remainder when d is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30, 31, 32, 33, 34, 35?\n\"Answer: y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/((-5)\/10). Let i be (8\/14)\/(-1 + 16\/14). Which is greater: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179560 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958*x + 1925*x = -f + 961*x + 50, -5*f + 16 = 4*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -412 from -868799.76.\nAnswer: -868387.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 564.58541 + 0.41459. What is the nearest to 13 in 3, -5, k, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 207, 1167, 2769, 5013, 7899, 11427?\n\"Answer: 321*o**2 - 3*o - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36316098 by -819.\nAnswer: -44342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -2*(0 + (-63)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/4*239\/(13862\/(-232))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - -0.2. Let i = 800 - 526.5. Let h = -274 + i. What is the closest to h in -2\/11, g, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104086 a multiple of 1864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201322201 (base 4) to base 10.\nAnswer: 138913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15743669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**8\/168 - x**5\/10 + x**3 + 13*x**2. Let a(h) be the first derivative of m(h). Find the second derivative of a(t) wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 10. Calculate the least common multiple of k and 38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -3.3, 0.4, -1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476.1 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/8 - 721*l\/2 + 978335\/2 = 0.\nAnswer: -3890, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 1, r: 4}. What is prob of sequence fgr?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 5065.1?\nAnswer: 10130.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*k - 6, -1534*l = -1537*l - 5*k + 1. Let o = 3 - 1. Solve j + l*d = -o*j + 11, -4*j + 4*d + 8 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/9 + 203*i**2\/9 - 602*i\/9 + 400\/9.\nAnswer: -(i - 200)*(i - 2)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23328*v**6 + 3*v**4 + 5*v**3 - 407*v**2 - 358*v?\nAnswer: -2799360*v**3 + 72*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.9 (b) -2\/7 (c) 1.5 (d) 1 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11822.8815 + 2.8815. Let h = 11819.93563 + w. Let a = -0.065 - h. What is a rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r + 5. Let i(f) = f + 1. Let c(p) = 0 - 4*p + 0*p - 7. Let q(b) = r*i(b) - c(b). What is the first derivative of q(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.13346519664 - -0.05\nAnswer: -1.08346519664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564 (base 8) in base 15?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*t - 4*y, -66*y = 4*t - 68*y - 24. Let m(q) be the first derivative of q**3\/3 - 5*q**2\/2 + 3*q + 3. Determine m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {t: 3, c: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1626 in 128, 0.7, -3\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {o: 1, t: 1, d: 1, p: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -928, -3733, -8430, -15019?\nAnswer: -23500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*t*z + 2*a**4*t - 332*a**3*t**2 - a**2*t**2*z + 92*a**2 - 11*t**2 wrt a.\nAnswer: -48*a*t*z + 48*a*t - 1992*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/((-3)\/(-6)))\/((-7)\/28). Let c be (-4)\/(-5 + (-36)\/u). Suppose 6*g = -c*g. Solve -3*q + l = -12, 2*q + g*l + 4*l = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1034 and (1 - 6) + 2634\/18 - 2\/6.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54051374*g**2*o + 58*g*o - 4688*g + 3*o wrt g?\nAnswer: 108102748*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2176*u + 3. Is d(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t**2 + t - 1. Let k be v(1). Let a = k + -5. Let i be (-886)\/(-9303) - (-58)\/(-168). What is the biggest value in -0.6, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5\/2 + 41637*t**4\/4 - 18045732*t**3 - 90317157*t**2\/2 - 72276633*t\/2 - 36143523\/4 = 0.\nAnswer: -1, -1\/2, 3471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:10 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 502130 - -53?\nAnswer: 502223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 - 175. Let o be a\/((-196)\/(-21)) - 1936\/(-7). What is o rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlfdr. What is prob of sequence md?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -533\nAnswer: 2665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34*(-564)\/(-32) + 3\/(-12). Let d = l + -595. Let u = -8 + 5. Sort 1, u, -2, d.\nAnswer: u, -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -0.1, -17.4, 2 in ascending order.\nAnswer: -17.4, -4, -0.1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 32 = -n + 17, -5*v = -n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*s + 11*s**3 + 73*s**2 - 63*s**2 - 21*s to u*s**3 + p*s**2 + g + c*s and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o + 1. Let v(b) = 2*b**2 + 6*b + 4. Let q(c) = v(c) + x(c). Suppose -2*m - 2 = -4. Let u be -4 - (1 - 2) - m. Calculate q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 11. Let x(v) = -224*v**2. Calculate x(f(s)).\nAnswer: -224*s**2 + 4928*s - 27104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 23*l + 1594 = h, 4*l + 3176 = 2*h. Suppose -r - 2*r - 5*p = -2440, -p = r - 810. Let x = h - r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*b - 44 = 0, -95 = -2*v - b - 72 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/2, 0.6, -3\/5489, 0.2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1622?\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22993336 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + 1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.49 - -0.4. Let t = 0.25 + f. Which is bigger: t or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Suppose 0 = h - a*h + 12. Suppose 3*s + 0 - h = z, -5*z = -4*s + 27. Put 5, -1, s in decreasing order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -239, -299, -377, -479, -611, -779?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -145285 equal to -4\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 15 - 6 + 5*f. Let y(b) = 2*b + 8. Let z(d) = 5*m(d) - 6*y(d). What is z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*a**3*z**3 + 2*a**3*z**2 + 3*a**3*z - 818*a**2*z**3 - 9178*a**2*z**2 wrt z?\nAnswer: -192*a**3 - 4908*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.5, 0, -0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzgijgjjggxuzz. Give prob of picking 2 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9872885.2 rounded to the nearest one hundred thousand?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riewwwwidwrw. What is prob of picking 1 r and 1 w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 104*f**2. Let u(j) = -51 + 185 - 68 + 8*j - 66. Calculate u(q(n)).\nAnswer: 832*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j + 24. Let m(f) be the third derivative of f**4\/8 + f**3 - 2*f**2. Let z(b) = 9*m(b) - 2*o(b). List the prime factors of z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-60)\/58)\/(13 - 6). Let z = 1114 + -1113. Do u and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnna when four letters picked without replacement from njanawaatana.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 + 8*k - 6. Let i be z(1). What is the closest to 0.03 in -1\/2, i, 3, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w*w*(w\/((w*w\/(w\/w**9*w))\/w))\/w*w*w)*w*w)\/(w**(-13)\/w) assuming w is positive.\nAnswer: w**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3714.46l to millilitres.\nAnswer: 3714460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -39969*-0.0806\nAnswer: 3221.5014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**3 - 4*z**2 + 13*z - 4. Let f(m) = 8*m**3 + 3*m**2 - 13*m + 3. Let p(n) = -4*f(n) - 3*q(n). What is the second derivative of p(d) wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 10*s**2 - 3*s. Let a(n) = n**3 + n**2 + 3*n - 1. Calculate -a(c) - z(c).\nAnswer: -2*c**3 - 11*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -283.89 + 283.81. Sort p, -3, 4, -6, 9 in decreasing order.\nAnswer: 9, 4, p, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/39131 and 39\/132980?\nAnswer: 47739820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 48, -5, 5, -4\/9, -2, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - 10. Let x = 18 + c. What is the units digit of x\/((-2 - -5)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2. Suppose -101 = -6*b - 23. Let o(i) = 23*i**2 - 11*i**2 - b*i**2. Determine y(o(h)).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 77 - (77 + 106) - -32\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - v + 11182 = 0, 11170 = 5*l + 3*v + 2*v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**7\/105 - u**5\/60 - 9*u**2. What is the third derivative of r(t) wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537360, 2150755, 4839756, 8604369, 13444600, 19360455?\nAnswer: 26351940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9001*o**3*t - 2*o**3 - 9*o**2*t + 3*o**2 + 145*o*t wrt o?\nAnswer: 54006*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - 0. Let j = 47770 + -47829.9876. Let f = i - j. Round f to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlj when three letters picked without replacement from {e: 2, k: 1, g: 1, d: 1, l: 3, j: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 1\/4*d**4 + 1\/2*d**2 + 2*d + 9 + 7\/3*d**3. Suppose -5*o + 151 = 186. Give s(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 + -351. Let f(s) = 11*s**2 - s + 137. Is f(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + -2 + (6*(2 + sqrt(847) - sqrt(847)) - (sqrt(847) + (sqrt(847) - (3 + sqrt(847) + -2)) + sqrt(847)))))**2.\nAnswer: -14300*sqrt(7) + 88925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i - 1. Let j be z(-1). Let l be (-2)\/j + 2\/6. Suppose h = -l*h. Which is smaller: h or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*3*(-2)\/(-12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 128 - 158 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 6\/7, 2, 0, -4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = 12. Let l(c) = -2*c - 3. What are the prime factors of l(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/(0 - 2)). Let s(n) = n**2 + n - 1. Let i(g) = 8*g**2 + 5*g - 5. Let u(d) = l*i(d) + 5*s(d). Let j(z) = -8*z**2. Give j(u(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 462\/637 + (-8)\/14. Suppose o = 4*c + 1, 11 = c - 6*o + 2*o. Is c < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 19 - 2*r - 11\/2*r**2. What is the derivative of w(n) wrt n?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-27)\/o**(-9))\/(o**(-1\/4))**(-2\/5))**(-43) assuming o is positive.\nAnswer: o**(7783\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 16.94. Let h = f - -9.06. Let y = -2393 - -2388. What is the second smallest value in 3\/4, y, h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 4)*(-1)\/(-14)*7. Is 50 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + 93. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (-35 + 12 - -10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 9:54 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/12 + s**2 - 2*s. Suppose 2*f + 0*u - 5*u + 11 = 0, 2*f + 2 = 2*u. Is b(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23657 (base 8) to base 5\nAnswer: -311114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 3*l**2 + 5*l - 10. Let c be p(3). Factor -24*z**2 + 2*z**c + 77*z**3 - 10*z + 6*z**4 - 81*z**3 - 6*z.\nAnswer: 2*z*(z - 2)*(z + 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/136857 and 67\/7728.\nAnswer: 50363376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + 1*sqrt(1539))**2*-2.\nAnswer: -3112 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let p(d) = -d. Let h(u) = -3*u. Suppose 26*o - 24*o - 18 = 0. Suppose -o = -f - 14. Let b(t) = f*p(t) + 2*h(t). Determine b(i(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 435 = 4*d + u, 225 = 2*d + 5*u. Let y = -4 + 32. Calculate the remainder when d is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 22*k + 29. Give q(12).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -244*q**2. Let k(t) = -t**3 - 21*t**2 - 7*t - 27. Let l be k(-21). Let h(m) = 120 - l - m. What is d(h(u))?\nAnswer: -244*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ike when three letters picked without replacement from iqlsqek?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4149663 - 0.1.\nAnswer: -4149663.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 215\nAnswer: -107.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*m - 627*m - 449*m + 58945 = 7525 for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101010101100 (base 2) to base 14.\nAnswer: 9d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -42. Let q = -5 - h. Let o = q + -21. What is the greatest common divisor of 81 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r + 98. Determine u(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15953*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -49*x**4\/8 - 89*x**3\/3 + 67*x**2. Find the first derivative of h(g) wrt g.\nAnswer: -147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28127 = 1342*b + 528*b + 169*b + 24887 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70945 and 420?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*n + 438*n + 335*n + 171*n - 156*n + 155*n.\nAnswer: 788*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -169*c**5\/5 + 3276*c**4 + 1137568*c**3\/5 + 1178448*c**2\/5 - 1821168*c\/5 + 476928\/5 = 0. Calculate c.\nAnswer: -46, -2, 6\/13, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -284, -325, -402, -527, -712, -969?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 136?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -30?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b8a (base 13) in base 8?\nAnswer: 3665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) -0.2 (c) -3675\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5333 - 5419.78. Round j to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*b - 5*b. Calculate the common denominator of b - (33\/(-27) - 3) and -87\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79988*b**4 - 581*b**3 - 2*b**2 + 12637*b + 686?\nAnswer: -959856*b**2 - 3486*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wryrr. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - d**2 - d. Let u(h) = 4*h**3 - 9*h**2 - 8*h - 4. Let k(f) = 3*i(f) - u(f). Let y be k(7). Is (2 + y\/4)*-24 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641 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: Sort 0.397289, -2.8, -0.2.\nAnswer: -2.8, -0.2, 0.397289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 79015 times -0.02?\nAnswer: -1580.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10*i + 515. Let o be p(29). What is the highest common factor of 70 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 + 13*l - 91)*(-2*l**3 + 6*l**3 - 2*l**3) + 2*l**2 + l**4 - 2*l**2.\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -3*n + 5*u, 3*u = 14*n - 17*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-10 + -2 - -18 - 40)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 10729356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m**2. Let x(p) = 20*p**2 - 63*p**2 - 833*p + 833*p. What is h(x(n))?\nAnswer: -16641*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from lty?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*o + 2558 = -83*o + 25*o + 23166 for o.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y + 5. Let w(d) = -45*d + 18. Suppose 18 = 4*o - 5*o. Let v(a) = o*j(a) + 5*w(a). Let c(g) = -4*g**2. Calculate v(c(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/2)*h)\/h*h*h\/(h*(h\/h**(-10))\/h*h) assuming h is positive.\nAnswer: h**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 6*w**2 + 3*w + 3. Let u(f) = f**3 - 5*f**2 - 3*f - 2. Calculate 5*k(a) + 6*u(a).\nAnswer: -4*a**3 - 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:08 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5731, 5275, 4509, 3427, 2023, 291?\nAnswer: -1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6001 + -0.5.\nAnswer: 3.1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 7*t + 16. Let y be o(-4). Suppose 5*x + 15 = 0, -y*h + 15 = -2*h - 3*x. Suppose h*n + 11665 = 8*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkik when four letters picked without replacement from gkkkikwgkkkikkikkigk.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1190*f - 1300. What is u(1)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 - 1.3. Let l = -0.17 - 8.83. Is j equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 185, 431, 787, 1259, 1853, 2575, 3431?\n\"Answer: k**3 + 46*k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 260\/(-6) - (-4)\/(-6). Let a be (-168)\/d + 4\/22. Let v = a - 3. Which is greater: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -14\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2023.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, q: 11}. What is prob of sequence dqqd?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + 1.6. Let x = -197\/86 + 120\/43. Put -0.74, x, 0.3, s in descending order.\nAnswer: s, x, 0.3, -0.74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*s + 173*s = 25442. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, -53, -191, -371, -593?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/18 and -3 + 118722\/37476 + 306\/81 + -4.\nAnswer: 6246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*b - 25, b = 2*b - 5*j - 10. Suppose 0 = 2*h + b*z - 2*z - 6, -z = 0. What is the derivative of -4 - 1 + i**h + 1 + 2 wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49698 and 145332?\nAnswer: 36478332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 728*k - 728*k + 59*k**2 to q*k**2 + t*k + a and give q.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 920 and 18661372.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 4. Solve 4*f = -x - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29875914577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2 - 46\/(-24)). Suppose 3*i - n = 358, -2*i + 3*n + 242 = 4*n. Suppose -v + 89 = 2*u - 35, -i = -2*u + v. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/10*(-4)\/(-12). Let k = -0.179 + 4.179. What is the nearest to 0.1 in 0, k, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 + 14*c**2 - 7*c - 3. What is the units digit of o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*i - 3892 = 439*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 69 = -4*b - u, 4*u = 2*b - 174. Which is smaller: 145 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.138 (b) 0.3 (c) 2 (d) -2 (e) 0.04 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152597159 is divided by 3320?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 923 - 925. Let q = 0 - -0.06. Which is the third biggest value? (a) q (b) s (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 7) + 0 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10105 and 1505?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*k + 56. What is the remainder when 16 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 454905 + 170?\nAnswer: 454a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.84159 millilitres in litres?\nAnswer: 0.06984159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 31. Let c be (3\/(-2))\/(6\/b). What is the units digit of (-4)\/c*-2*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = 14. Calculate the lowest common multiple of c and 4\/60*5*21.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41230264 and 2008?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -158, -588, -1296, -2282, -3546, -5088, -6908?\n\"Answer: -139*d**2 - 13*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 55 = -2*q + 3*q, 5*q + 15 = 0. Let i(c) = -63*c - 5. Let k(v) = v + 1. Let g(y) = -i(y) - 2*k(y). What is the remainder when g(1) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7853 + 7885. Calculate the greatest common factor of n and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 0 + 31\/12*p**4 + 0*p**3 + 0*p**2 + 5*p. Let l(x) be the second derivative of x**3\/3 - 7*x. Calculate i(l(r)).\nAnswer: 124*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15919 - 15934. Let l(b) = 3*b**3 + 45*b**2 - 2*b - 27. Calculate l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x - 5. Let j(n) = 6*n - 6. Let u(o) = 6*d(o) - 5*j(o). Let i(y) be the second derivative of -y**3\/3 + 3*y. Calculate i(u(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 9*c + 27*c + 2*c + 0*c**2 - 75. Does 27 divide s(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1214 * -0.1\nAnswer: 121.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 5*t**3 + 3*t**4 + (15*t - 343 + 343)*(0*t**3 + 0*t**3 + 3*t**3).\nAnswer: 48*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*s + 36, -8 + 58 = -2*i + 3*s. Let j = i + 50. What is the remainder when 63 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)\/sqrt(2) - sqrt(44))\/sqrt(2)*-3)\/(sqrt(11)*2*4 + sqrt(11) + 5*sqrt(44)\/sqrt(4))*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 0.05, -0.01, 9\/11?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:24 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 - 5*a**3 - 4*a - 18 + 4 + 3*a**3 + 10. Let d(v) = v**3 + 3*v**2 + 3*v + 3. What is -4*d(y) - 3*q(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1300 - -1319. Is 132\/7 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - -84. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -936838 - -48717251\/52. Let x = o - 127\/4. Which is the nearest to 1? (a) x (b) 4 (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 - 18 + 18 + (1 + 2 - 1)*(-4*x**2 + 4*x**2 + 2*x**2) - 52*x + 70*x**2 + 26*x + 27*x.\nAnswer: 69*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 543121 (base 6) to base 10\nAnswer: 44761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5165 + -3620. Suppose -4*q - 373 = -p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-211 - -1) + (2396 - 2265)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Suppose s = 5*t - 10, 2*m + 2*t - 5*t = -2. Suppose -m*w = -27 + 1. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 38. Let h = 22.4 - q. Let n = h - -4. Sort -0.1, 2\/9, n in increasing order.\nAnswer: -0.1, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.7 - -1.86293.\nAnswer: -1.83707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10811.83782 + -10812. What is m rounded to 3 dps?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22806002413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60721295, -60721292, -60721281, -60721256, -60721211, -60721140, -60721037, -60720896?\nAnswer: -60720711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73252652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aovoneveongevaeav. What is prob of picking 1 o and 1 n?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 16*q - 466 = 0. Let u = -199 - q. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 1. Let k(v) = -6. Let h(j) = -k(j) + 3*n(j). Let g(b) = -b + 1. Calculate 4*g(s) - h(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let n = 6 + -2. Let g be n\/(-14) - 2\/(-7). Let r(w) = g*w + w**2 + w - w. Calculate o(r(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**8\/840 + h**6\/120 + h**3\/3 - 2*h. Let y(j) be the second derivative of o(j). Find the third derivative of y(z) wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24580, -98218, -220948, -392764, -613660, -883630?\nAnswer: -1202668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -14*v - 5. Let p(l) = -38*l - 14. What is 11*c(r) - 4*p(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038188 millennia in months?\nAnswer: 45.8256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.051 - 0.051. Let z = 143 + -140. What is the fourth smallest value in z, -0.5, c, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 12*w**3 - 9*w**3 + 8.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2*(-1)\/12). Let d be ((-5)\/(-15))\/(3\/(-81)). Calculate the common denominator of -109\/6 and (a\/(-4))\/(d\/(-39)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212977910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1812296 is divided by 110.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 198*y + 201*y - 27 = -61, -2*k = 14*y + 116 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) - -2*sqrt(11)) - ((6*sqrt(44))**2 + sqrt(11)) - (sqrt(44)\/(sqrt(4)*-3) + -1*sqrt(11)*2)**2.\nAnswer: -14795\/9 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.256 and 4311?\nAnswer: -1103.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182*-0.1.\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 3}. Give prob of sequence fc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**2 - 17*k + 4. Let b(c) = 5*c**2 - 9*c + 2. Let h(a) = 11*b(a) - 6*q(a). Give h(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = 8*q. List the prime factors of 2 - (-108)\/8*8 - q.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1933, 3 in increasing order.\nAnswer: -5, 3, 1933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + l**2 + l + 3. Let y = -5 + 5. Let a be u(y). Suppose -a*t + t = -116. What is the remainder when t is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1212102100210212?\nAnswer: -1212102100210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235043043 (base 6) to base 11.\nAnswer: 2561519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4 + 53*t**3 + 150*t**2 - 4*t - 200 = 0?\nAnswer: -50, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -k + 715, 3*g - 3*k = 472 + 68. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13 - 3*h + 5 + 18*h + 7. Give y(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1007484730, -1007484728, -1007484726?\n\"Answer: 2*g - 1007484732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**5\/120 + p**4\/12 + 19*p**3\/3 + 80. Let a(b) be the third derivative of s(b). Calculate a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -247212?\nAnswer: -247212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 42. Let n(t) = t. Let s(z) = z. Let c(m) = w*s(m) + n(m). Let g(h) = -6*h. Determine g(c(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/3)\/((-2)\/(-3)). Let v = 2 - -1. Suppose -t + 187 = -0*x + q*x, 0 = -v*x - 4*t + 119. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 29610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0089 and -2?\nAnswer: 2.0089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/2*(-10)\/(-15). Solve t - y*x + 13 = 0, 2*t + 3*x = -t - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**4 - 11*s**3 + 275*s**2 + 17820*s?\nAnswer: 12*s**2 - 66*s + 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a decade in months?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, 2585750.\nAnswer: 4, 13, 2585750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-139)\/(-417))\/(1\/5)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - c**2 + 6. What is z(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -90*s - 9. Let y(g) = -134*g - 14. Determine 8*u(w) - 5*y(w).\nAnswer: -50*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/1232*56\/(-30).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10286 + 246761\/24. Which is bigger: -5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17265.0822 to the nearest 10.\nAnswer: 17270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1) - 20\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/21495 and -64\/9.\nAnswer: 64485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*u - 276 - 205 - 25 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -6*d - 218. Let n = d + 407\/7. Sort 3, n, -4, 11 in increasing order.\nAnswer: -4, n, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + 0*a**3 - a**4 + 1 + 4*a + 3*a**4 + a**3 in the form m*a + r + p*a**3 + u*a**2 + i*a**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:32 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 + 3)*(4*j + 0*j - 3*j) + 5*j + 1 - 1)*(9 - 11 + 14)*(10 - 10 + 21*j**3) as a*j + q*j**3 + b*j**4 + m + p*j**2 and give b.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 0*g**2 + 5*g**2 + g**2 + g**2 - g**2 + (6 - 3 - 1)*(-2 + 2*g**2 + 2).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*r - 187*r - 11*r**4 + 100*r + 7*r**2 to the form f + z*r**2 + q*r**4 + p*r**3 + m*r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*v + 15 = 0, l - 29 = -l - 5*v. Suppose 2*h = l*z + 8, -3*h - 2*h + z = -16. Solve 0 = h*r - 3*s - 2 + 17, -3*r - 8 = 4*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by (-1)\/((-4)\/(-66)*(-18)\/36)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/27 and -26\/681.\nAnswer: 6129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**3 - 6*p**2 + 30*p + 205. Let x(b) = 7*b**3 - 5*b**2 + 25*b + 205. Give -5*m(q) + 6*x(q).\nAnswer: 2*q**3 + 205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Let s(u) = -u**3 - 17*u**2 - 17*u - 19. Let y be s(-16). Let z be 0*(-7 - y)\/(-12). Sort x, 5, z in ascending order.\nAnswer: z, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426101 * 22\nAnswer: 9374222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*l + 8*l - 2*f, 4*f + 16 = 0. Solve 0 = -l*o + 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**8\/24 - 19*k**5\/60 - 33*k**2. What is the third derivative of h(v) wrt v?\nAnswer: 840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21.35324 (b) 1 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 - x**2 + 4*x. Let w(r) = -r**3 - 1. What is o(a) + 2*w(a)?\nAnswer: 3*a**3 - a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from tyvvyt?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -943914*b**2 + 3099167 wrt b?\nAnswer: -1887828*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 1. Let v(r) be the second derivative of -5*r**3\/6 + r**2\/2 + 25*r. What is -5*s(x) - 6*v(x)?\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8\/75 + -43\/300. Let q be 48\/21 + -2 + 0. What is the third biggest value in -14, c, q?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x - 1\/2*x**4 + 0 - 8*x**3 + 0*x**2.\nAnswer: -x**3*(x + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -6865\/3, -0.1, 2\/7, 7, 2\/21, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w - 6*w - 9*w. Let n be t(-1). Solve b = n*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, and 1 c when three letters picked without replacement from {o: 2, p: 1, w: 4, c: 2, s: 6}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-2)\/(0 - -1). Let x(j) = 4 + 4*j + 0*j**2 + n*j**2 - j**2. Suppose -10*h + 9*h = 3. Calculate x(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 + 5 + -6)*(31 + -30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1035*n**2 - 2*n + 4. Let r(v) = 5175*v**2 + 11*v - 22. Calculate 2*r(t) + 11*s(t).\nAnswer: -1035*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -2666?\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*f - f, 4 = s + f. Let z = 25.949 - 26.149. Sort s, z, 1, 4\/3 in ascending order.\nAnswer: z, 1, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccmucqquqqmmq. What is prob of sequence muqu?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Suppose z*q = 40 - 121. Let a = q + 48. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/144 + (-15291830)\/(-90) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 82 + 4*f + 4*f - 98. Calculate the remainder when 74 is divided by v(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4 + -4 + 2 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2297367317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2055502 and -11.\nAnswer: 22610522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -101110111110100110?\nAnswer: 101110111110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 22*v + 4*v - 69. Which is the biggest value? (a) 4 (b) -1 (c) v (d) -3 (e) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 181251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 15 = 4*f, -5*k + 2*f = 4*f + 1. Is k != 2\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2062457400 to the nearest one million.\nAnswer: 2062000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, l: 7}. What is prob of sequence ll?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286*n*u**3 + 39*n + 2*u**3 + 2*u wrt u.\nAnswer: 1716*n*u + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 15 = 0. Let n = -25 - -35. Suppose -a*z - n = -0*z. Is z equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m + 17. Let u(r) = 2*r. Suppose 18 = 25*o - 22*o. Let d(c) = 8*c + 3. Let b(h) = o*u(h) - 2*d(h). Determine 8*b(f) + 3*n(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1072 + 1834. Let q = 761.93 - r. Which is smaller: q or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 56379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -74395*h + 5*h**2 + 37194*h + 37201*h. Let p(u) = -1 + 1 - 4*u. Give s(p(z)).\nAnswer: 80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/15 - 8*c**2\/15 + 8*c\/5 = 0 for c.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2 + (-4 + sqrt(325) + -2 - (3*sqrt(325)*5 - sqrt(325)))*-4)*-3)**2.\nAnswer: 102960*sqrt(13) + 7913554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 53980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 5*m + 4. Determine o(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.07757l in millilitres?\nAnswer: 37077.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {c: 13, n: 3}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*m + 45, -7*x + 6*x + m + 5 = 0. Calculate the greatest common factor of 15 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381.1 * -0.5.\nAnswer: -190.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4*-1)\/((-19)\/10868). Let o = g + 289. Solve -o*u = -u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 137 + -4?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1697 - -1696.6. Let a = 142 - 146. What is the second biggest value in a, f, 71\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(190) + sqrt(190) + (-2*sqrt(190) + sqrt(190))*1 + sqrt(190))\/(sqrt(110)\/(-2*sqrt(11))))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3988972mg?\nAnswer: 0.0000003988972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6465, -5832, -5199, -4566?\n\"Answer: 633*s - 7098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*v = -4*m - 77*v + 73, m = -7*v + 52. Let y(k) = k**2 - 14*k - 36. Give y(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/33 - (-390)\/33. Let g(q) = -41*q + 2. Let a be g(-2). What is the greatest common factor of a and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + -2 - (-4 - -2). Let f = 8 - 13. Is f at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttstw. What is prob of picking 1 s, 1 t, and 1 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -686, 3, 2\/7, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/573 and -83\/510402?\nAnswer: 97486782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 27\/167, -0.3, -0.2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3144 - -3180. Calculate the remainder when 157 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*o + 881*o + 606*o + 4 - 4.\nAnswer: 1414*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(12)\/sqrt(4)))\/((sqrt(3) + sqrt(12))*-6).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.0483 and 0.286?\nAnswer: -4.0178138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -6. Let i = y - 23. What is the closest to -1\/2 in 3, -0.04, i?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -34, 5, -2 in decreasing order.\nAnswer: 5, -2, -34, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2. Let w(l) = -12*l - 10. Calculate w(h(c)).\nAnswer: -48*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 473\/5. Let t = 31 - 32. What is the smallest value in 0.5, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*b - 0*j + 3*j, 0 = 5*b - j - 63. Let x(i) = 10*i + 91. Is x(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 3, 643781, -141?\nAnswer: 643781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -185, -286, -427, -608, -829, -1090?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 11. Let d(o) be the second derivative of -5*o**3\/6 - 6*o**2 + 36*o. Calculate the remainder when 167 is divided by d(j).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 76579 and 0.029.\nAnswer: 76579.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081928585 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042*b + 1481*b - 615*b.\nAnswer: 1908*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 130, 673, 2068, 4741, 9118, 15625, 24688, 36733?\n\"Answer: 71*m**3 + 46*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.3 + 7. Let d = 89.6 - 89.1. Let i = -7\/30 - 1\/10. Sort b, d, i in increasing order.\nAnswer: i, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-47) + 2796\/564. Solve d*z = -10, -941 = 5*m + 5*z - 926 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*b = -56, -14*m + 13*m + 44 = b. Is (0 + 20669)\/(-47 + m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjjijivajivviv. Give prob of picking 1 j, 1 a, and 1 v.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*f + 434, 2*f - 2128 = -5*v + 6*f. Let i = v - 418. Is -8 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -277.296 * -0.94\nAnswer: 260.65824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1374 and 5496?\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 53*q**4\/12 + 41*q**3\/6 + 3*q**2\/2 + 33*q + 62. Let i(h) be the second derivative of u(h). Differentiate i(r) wrt r.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -95. Suppose 2*d - d - 378 = 10*u, -774 = -2*d + 2*u. Calculate the remainder when d is divided by x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*m**2 + 4)*(-35 + 88 - 44)*((-4*m + 5*m - 2*m)*(0 - 1 - 1) - 5 - 3*m + 2*m + 5*m).\nAnswer: -108*m**3 + 90*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -13. Let x be -2 + b*(-3 - -2). Sort -2\/27, x, 0.4 in descending order.\nAnswer: x, 0.4, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 88, 9191, 1\/8 in descending order.\nAnswer: 9191, 88, 0.3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -73. Suppose 102 = -k + 4*k. Calculate the remainder when k is divided by (90\/p)\/(2\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*v + 477 = 8*v + 78 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2881+-121259849\nAnswer: -121256968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 + 5*c**2 - 21*c - 92. Calculate z(-5).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + ((-2 + sqrt(704))*1 - (sqrt(704) + sqrt(704) + (-1 + sqrt(704) + sqrt(704))*4)) + -1)*1)**2.\nAnswer: 144*sqrt(11) + 57025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*m - 22, 2*m + 0 = 8. Suppose -2*p - s*u - 16 = -5*p, u + 14 = 3*p. Let y be 8\/(3\/6 + 0). Solve 0*z - p*z = -y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271081023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/24)\/(620\/17112)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27696 divided by -6.\nAnswer: -4616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 278405*g**2 + 24*g - 5. Let d be a(-5). What is d rounded to the nearest 100000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -352*j**4 + 980*j**4 + 286*j**4 + (-4 - 2 + 4)*(j**3 - j**3 + 2*j**4) - 5*j**4 + j**4 + j**4.\nAnswer: 907*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 4765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -11, -14, -9, 10?\n\"Answer: c**3 - 5*c**2 + 3*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 22*i**2 + 14*i + 24. Let p(k) = -2*k**2 - k. Let m(y) = -12*p(y) - s(y). Let m(u) = 0. What is u?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.69405 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3916021*x + 6548473*x + 9665471*x + 3801609*x.\nAnswer: 16099532*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(((z\/(z\/(z**(-4)*z*z))*z)\/z)\/z)*z))\/z**(2\/7))**(-11\/5) assuming z is positive.\nAnswer: z**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52380)\/(-21825) - ((-982)\/405)\/(-1).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -738, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + -102?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*4*263\/2. Let b = 274 - c. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 197*b**2 - 147*b - 14. Calculate z(-65).\nAnswer: 1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/888 and -143\/36?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q**2 - 568099*q + 568099*q + 48*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s**2 - 12 - 8*s**2 - 14*s + 0*s**2 + 13. Let z be v(15). Is (-1)\/(-6) + z\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6905 - 7717 + 8880)*(-4*i**4 + 2*i**4 + 3*i**4).\nAnswer: -5742*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 6. Let j(b) = -17*b**2 - b - 98. Let n(r) = 3*j(r) + 48*l(r). Let u(q) = -q**2 - q - 1. Let c be 96\/20 - 1\/(-5). What is c*u(m) - n(m)?\nAnswer: -2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 265463725, 530927449, 796391173?\n\"Answer: 265463724*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11647500 rounded to the nearest one hundred thousand?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -999462.184 rounded to the nearest 100?\nAnswer: -999500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = -x, 3*u - 4*x = 6 - 1. Let q be (-1)\/10 + u\/(-2). Let b = 43.1 + -43. What is the nearest to q in -2\/11, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - u + 14*u**2 + 2*u - 13*u**2 + 373 - 1556 in the form v*u + m + k*u**2 and give m.\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 17 = -5*m, 3*m - 3*r = 2*m - 9. Let y(x) = -2*x + 1. Let b be y(m). Suppose -b + 1 = -2*l. Solve 0 = -i - p + 8 - 2, 0 = -2*i + l*p - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/2397080 and -107\/244600.\nAnswer: 11985400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5471064?\nAnswer: 2, 3, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170217954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b (base 16) to base 14.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 2*a + 5*l + 5 = 0, 0 = a - 2*l - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/16)\/7)\/(33\/(-12))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 72, 151, 304, 555, 928?\n\"Answer: 4*o**3 + o**2 - 2*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 8, -5, 14, -43 in descending order.\nAnswer: 14, 8, -5, -43, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 71.87611 millennia?\nAnswer: 718.7611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let w(n) = -n**2 + 3*n - 4. Let a(u) = -u**2 + u - 1. Suppose 5*b + 6 = -4. Let q(m) = b*a(m) + w(m). Give 2*f(v) - q(v).\nAnswer: -v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 1. Let p(a) = 7*a**2 - 3*a - 4. Let m(o) = -6*d(o) + p(o). Suppose m(h) = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26 - (5 + -7))*(-21)\/(-12). Calculate the least common multiple of 11 and 4\/(-14) - (-308)\/l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**4 - 30579*b**3 - 5224068*b**2 - 237459600*b - 1060516800 = 0.\nAnswer: -10020, -84, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -99.08867707805 and 5?\nAnswer: 104.08867707805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-7144)\/188 + 58\/2 + -7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1408 + 1598. Calculate the greatest common divisor of b and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183183*p**3*z**5 + 201360*p**3*z**2 - p*z**2 wrt z.\nAnswer: -10990980*p**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 134 = t, 0 = -0*t - 4*t + 3*z - 612. Let n = t - -255. What is the least common multiple of ((-2)\/(-3))\/(14\/n) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 10:21 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -10845.2798 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(36\/(-69)))\/(1258\/1887).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 410 + -178. What is the greatest common factor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*3 - sqrt(1008)*-4)**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b812 (base 13) to base 4.\nAnswer: 12032332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**8))\/g)\/(g*g**(2\/7)))**(-4)\/((g*g**(-1))**28\/(((g*(g*g\/(g**(-3\/4)*g)*g)\/g)\/g*g)\/((((g\/(g\/g**2*g)*g)\/g)\/g)\/g))) assuming g is positive.\nAnswer: g**(1257\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 37. Let d = 0 - 3. Sort -6, a, d in increasing order.\nAnswer: -6, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 - 2*s**2 + 4*s**3 - 4*s**2 + (-1 + 1 + s)*(-2*s**2 + 3*s**2 + s**2).\nAnswer: 6*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o**5\/5 + 36696*o**4\/5 - 32087988*o**3\/5 + 9383332248*o**2\/5 - 3992031702*o = 0. What is o?\nAnswer: 0, 15\/7, 873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11111001100111011 (base 2) to base 4\nAnswer: -133030323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 420985.6kg?\nAnswer: 420.9856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2598, 1638, 38, -2202, -5082, -8602, -12762?\nAnswer: -17562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**12)**(-16)*k**35\/(k\/(k\/(k*k**(-38)))))**(-1\/3) assuming k is positive.\nAnswer: k**(152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 62822, 122800, 182776, 242750, 302722?\n\"Answer: -g**2 + 59981*g + 2842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -6. Let n = o - -5. Let c(v) = 501*v**2 - 2*v - 3. Let g be c(n). Round g to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -349413 by -116471.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6123, 6322, 6527, 6738?\nAnswer: 6955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006577919 to 6 decimal places.\nAnswer: -0.000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 times -2.88?\nAnswer: 910.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 16 - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.4 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, 294, 602, 868, 1092, 1274?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 23*g**2 - 20*g - 4. Let u(o) = 8*o**2 - 6*o - 1. Let f(m) = -6*i(m) + 17*u(m). Let j be f(9). Which is the nearest to 1\/3? (a) -0.2 (b) j (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4.3015623 days?\nAnswer: 0.6145089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91517.\nAnswer: 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2321*m**2 - 7 - 6 - 72*m + 10 + 2 wrt m?\nAnswer: -4642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -146?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/90*12)\/(1096\/(-276) - -4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221845200 divided by -60.\nAnswer: -3697420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(55)\/sqrt(5)) - (sqrt(19) + -1)*4) + (-6*(sqrt(1900) + -4))**2.\nAnswer: -2883*sqrt(19) + 68980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/22 greater than 0.13384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + p**2 - 11*p - 13. Give i(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 28, 0 in decreasing order.\nAnswer: 28, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-18) - 64\/(-144). Let y be -4 + l + (-6 - -13). Solve -5*a + 2*a + 2*z - 1 = 0, 4*a = 3*z - y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -53083253.6 and 10.\nAnswer: -53083243.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - x - 1 + 1)*(-978 - 271*x + 978 + 2*x + x - x + (-2 + 2*x + 2)*(1 + 0 + 1)).\nAnswer: 265*x**5 + 265*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + 1*sqrt(684).\nAnswer: -7 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22200010 (base 3) to base 14.\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.98 - 6.\nAnswer: -10.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/30 and -89\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/30 + 5*n**4\/12 - 3*n**3\/2 + 2*n**2 + 43. Calculate c(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 5*r**2 + 11*r - 6. Let w be a(7). Let p = w - -32. Suppose -n + 29 = -3*k, k + 50 + 53 = p*n. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 40 = -4*c. Let s be 3615\/90 + 2\/(-12). What is the greatest common divisor of s and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 4 = -v - 3, 3*t - 5 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 1 + 1 + 40*g**3.\nAnswer: 40*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 5}. Give prob of picking 1 a and 2 m.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 - -89.6. Let i = 56 + -13. Let s = i + k. What is s rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q. Let x be c(-1). Let t be (-5)\/(-2)*(-8)\/(-10). Solve -3*p + x = t*m - 0, p + 5 = 2*m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(76 - 102*f - 59*f + 168*f) to the form h + p*f and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 13 = s - 35, -2*m = -s - 22. Let w(a) = -2*a + 46. What is the tens digit of w(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*r - 5*y - 10 = -275*r, -4*r + 6 = -3*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 9:29 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 604582*y**2 - 8. Let h(d) = 5*d. Calculate h(n(k)).\nAnswer: 3022910*k**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 15. Let z be l(-9). Suppose 0 = 5*r - 36 - z. Suppose -2*v - r = -7*v. Solve -v*k + k - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liiiili. What is prob of sequence li?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 19491693*t**2 - 1. Let l be o(1). Suppose 16031495 + 19160197 = n. Let b = n - l. Round b to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w + 45. Let k(l) = 17*l + 91. Let t(i) = -6*k(i) + 10*z(i). Does 6 divide t(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -371, -10817, -28227, -52601, -83939?\n\"Answer: -3482*j**2 + 3111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 - -50. Let s = v - 907\/6. Calculate the common denominator of s and -29\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*u - 54*u - 63 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-213)\/(-954))\/((52\/(-8))\/((-9)\/45)) and -47?\nAnswer: 10335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003375614 rounded to 4 dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1611 times 16082?\nAnswer: -2590.8102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -333*f + 36833. Is m(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*m = -108, -739*m - 4 = p - 735*m. Let t(j) = j**2 + 52. What is the remainder when t(0) is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/210 + g**4\/84 + 2*g**3\/21 - 7*g**2. Factor m(n).\nAnswer: -2*(n - 2)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 5*b + 2*b)*(1 + 0 + 4) + (-2 - b + 2)*(1 + 2 - 1) - 3*b + 1 - 1 to the form c + o*b and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6740 - 676249.47\nAnswer: -669509.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 1. Let f(i) be the third derivative of -i**5\/60 - 16*i**2 - i. Calculate -6*f(x) - l(x).\nAnswer: 3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -18. Let q be 3\/(-42)*(-12)\/6*-1. Put -0.4, x, q, 8 in ascending order.\nAnswer: -0.4, q, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**4 - 6*k**2 - k**4 - 11*k**2 wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + y + 1. Let u be r(-1). Let a = u - 0. Let q = -45\/2 - -23. Is a bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18232 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 125*k - 870. Let u be c(7). Solve -3*i + 5 = 3*g + 2*i, -u*g - 1 = -i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and (1075 - 25)*7\/21?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -139, -130, -119, -106?\n\"Answer: r**2 + 6*r - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlwwwllw. What is prob of sequence lw?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 17*d + 16. Let c = d + 6. What are the prime factors of 696\/30 + 1\/10*c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8137202 and 2022?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2223*o**2 + 4*o + 1. Let b(z) = 2252*z**2 - 5*z - 2. What is 3*b(v) + 4*u(v)?\nAnswer: -2136*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 62. Let m be 7 + t - (0\/(-2) - 3). Let k(r) = -5*r + 39. Let a be k(m). Let d(y) = -23*y**2 - 1. What is d(a)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.14 and -0.16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -754 equal to -27869\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2087*a**2 + 0 + 774*a**2 - 1 + 299*a**2.\nAnswer: -1014*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18040.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888 (base 10) to base 12.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54 - -1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -221, -225, -229, -233, -237?\n\"Answer: -4*d - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294*v**6 - 72*v**4 - 2*v**2 + 1041*v - 1 wrt v.\nAnswer: 35280*v**3 - 1728*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -1)*((-119)\/(-21) - (6 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 1. Let n = -1 + -5. Let o = -58 + 64. Let m = o + n. What is f(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 5804876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus 154539408622?\nAnswer: 154539408637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2. Let v(x) = 6840*x. Give h(v(m)).\nAnswer: 187142400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13 + 11)\/(1 - -1). Let i be v*6 + 4 + 13 + -9. Solve -b + 2 = 0, 5*o = i*o - 4*b + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42501908441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o = 30580 - 31852 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148.048 + -0.048. Let c = 153 - r. What is the closest to 0.1 in 0.3, -0.01, c?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1766, -1\/2?\nAnswer: 1766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 4*d**3 - 13*d**3 + 6*d**3 + 0 + 4*d - 1. Let w be l(-2). Let j be 1\/((-6)\/w)*(-16)\/3. Calculate the highest common divisor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 381 - 215. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399859921 rounded to the nearest 100000?\nAnswer: -1399900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1946 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.6062735 to 1 decimal place.\nAnswer: 25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 59. Let n be 4787487565\/10 - (1 - i)\/(-2). Suppose 12*u + n = -165651244. Round u to the nearest 1000000.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -787 - 1787. What is the hundreds digit of (g\/(-10))\/((-87)\/2320)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80.61 + 76.8. Let o = 5.13 - 0.03. Let j = o + p. Round j to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6 - 1)\/1 - -4) + 5. Solve 4 = h + k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23057634 or -23057631?\nAnswer: -23057634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s - 318. Let k(p) = 10*p + 2. Let t be k(16). Let m = s + t. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 913516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert fd44 (base 16) to base 8.\nAnswer: 176504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -18484842?\nAnswer: -18484832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 730.\nAnswer: -2\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*x)*(1094 - 572 - 553) in the form h*x + f and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6 + 50\/20. Suppose 2*p + 3*o - 139 = -2*o, 133 = v*p - o. List the prime factors of p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/2, -0.066, -163?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*m - 34, 0 = -4*j - 3*m - 15 + 58. What is the lowest common multiple of j and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 1851*y + 50708. Give m(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + q + 3*q - 17, 5*h - 15 = -2*q. Let v = -362 - -361. Which is the closest to h? (a) 1\/3 (b) v (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31005 and 936.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 41 - 14 = 0. Let w = -14 + j. Calculate the remainder when 19 is divided by (-2)\/w - (-144)\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -803.12955 to 0 dps.\nAnswer: -803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -227? (a) 15 (b) 0.457 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78699477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 174 and 183 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2. Let y(c) be the second derivative of 6*c**3 - 12*c. Determine i(y(n)).\nAnswer: -5184*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 4*d + 182 = 0. Suppose -36 = -d*j + 132. Solve -j*f = -15*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 85 = -2*b, 5*r = 3*b - 40 - 25. Is ((-1660)\/b)\/(2\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -731 + -0.34.\nAnswer: -731.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5471 is divided by 152.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1268340 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*(-4 + (-45)\/20) and 31\/218.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -65?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 10110011100001100?\nAnswer: -10110011100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - 2*(0 + sqrt(637)))**2 + (sqrt(1053) - (sqrt(1053) - (1 + sqrt(1053) + -1))**2))*4.\nAnswer: 36*sqrt(13) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107330 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178440967 is divided by 2458.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*16\/(-1428))\/(2\/7)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 742158421 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6116 divided by -4.\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4387 and 98333?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 7) + (0 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1951607876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 65629 - -126?\nAnswer: 65754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.439 - 7.039. What is the smallest value in b, 0.8, 0.06, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -575, 95, -26 in increasing order.\nAnswer: -575, -26, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoeoooeeo. What is prob of picking 1 o and 1 e?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -3, 0.12, 2 in decreasing order.\nAnswer: 2, 0.12, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 561250013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30)*6\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:36 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/196 and 89\/210?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6.2 times 0.39\nAnswer: 2.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719090637.\nAnswer: 3, 127, 163, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*r + 19. Let c(f) = -7*f - 48. What are the prime factors of c(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -17 + 39 + 7\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38175221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 4*w**2 - 4*w - 6. Let f be b(5). Let y = f + 5. Suppose k = 5*l - 71, l = 3*l - y*k - 14. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -200*g**2 + 848\/3*g - 96 - 12*g**3 = 0.\nAnswer: -18, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 62*i**2 - 56*i - 346. Calculate z(63).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (9 - 7 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**28\/(m**(-2\/17)\/m*m\/(m**(-7\/4)\/m*m)))\/((m**(-1\/5))**(-4)*m**(2\/3)*m**9\/m*m) assuming m is positive.\nAnswer: m**(-12341\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 33 = -4*t. Let x = t - 7. Let a(q) = q**2 - 5*q - 2. Let n be a(x). Solve 19 = -n*b - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.7 + 11. Put p, 14, -3 in decreasing order.\nAnswer: 14, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4133538 and 76506?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2217 and -0.4.\nAnswer: -2217.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 557*q**2\/4 + 1235*q\/4 + 137\/2.\nAnswer: (q + 2)*(q + 137)*(4*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 7*v**2 - 5*v. Let o be a(5). Calculate the highest common divisor of 50 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) 0.3 (b) 16.235 (c) 13 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 357 + -568.4. Let h = -211 - p. Put h, -2\/29, 1 in descending order.\nAnswer: 1, h, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*r**3 - 2067*r**2 + 516*r.\nAnswer: 3*r*(r - 172)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -285 - 152*n**2 + n - 5 + 79*n**2 + 70*n**2 to the form i*n**2 + t*n + o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = j - 5*n, 4*n = 5*j - 355 - 86. Let s be (-10)\/j - (-529)\/17. Let m = -15 + s. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 308. Let c(m) = 5336*m**2 - 10649*m**2 + 5321*m**2. Calculate j(c(p)).\nAnswer: 8*p**2 + 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(425))**2 - (sqrt(2448) - (1*(-1 + sqrt(2448) + sqrt(2448)))**2).\nAnswer: -20*sqrt(17) + 11497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10564 is divided by 43?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 569 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14373180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 4. Let z(b) = -b + 2. Let a(t) = -2*c(t) - 5*z(t). Let m(q) = 3*q. Let i be m(1). What is a(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 42\/16)\/(0 - 3). Which is the closest to 2\/3? (a) -5\/2 (b) d (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*b + 32 = -2*b, b = 1. Suppose 4*g - a = 3. Suppose 0*m - g*m + 60 = 0. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 0 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28907 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*t + 41 - 21 = -4*q, 4*t - 179*q - 407 = 488 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in 1\/4, 3, 1, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/4 of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 - 58*n - 17. Give w(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 + 0 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 15. Determine t(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 6*m**2 - 5*m + 5. Let b be z(5). Suppose -19 + 79 = b*h. What is the greatest common divisor of 96 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-49)\/(-14)*2\/14*6. Solve -m*r + 25 = -8*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -145, -369, -689, -1105, -1617, -2225?\n\"Answer: -48*i**2 + 16*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, t: 12}. Give prob of sequence tj.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11, -14\/15, 0.4, 3, -6, -55?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**6\/30 - 9*c**5\/20 - c**3\/6 + 6545*c**2\/2 - 5524*c. Find the first derivative of l(j) wrt j.\nAnswer: 4*j**3 - 27*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/12 + 3\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*f - 17*f + 1 + 33*f)*(-15*f + 50*f + 36*f).\nAnswer: -284*f**2 + 71*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14134 + -3?\nAnswer: 14131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 48. What is the fourth smallest value in -1\/2, 1\/6, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 2677?\nAnswer: 13385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-82)\/(-26) - 8\/52)*(-14287)\/(-471). What is the greatest common divisor of a and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2233 and 5104.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16040 - -16039. Which is the closest to z? (a) 27 (b) 0.04 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4895 - -7008. List the prime factors of q.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let b be c*(-3 + 53\/(-2)). Let l = 8 - b. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a - 1. What is the remainder when b(6) is divided by (-6*(-50)\/60)\/((-1)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 4*y + 18, -s - 44*y = -41*y + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493*n**2 - 8 + 506*n**2 + 11 - 5.\nAnswer: 13*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/20 + n**4\/6 - n**2\/2 + n. Let v(i) = 2*i**3 + 3*i**2 - 1. Let r = -6 + 8. Let t = -6 + r. What is t*w(h) + 3*v(h)?\nAnswer: 2*h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -269.47\nAnswer: 4850.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**3\/6 - 12*b**2 - 83*b + 8. What is k(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31213220 + 3?\nAnswer: 31213223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*i = -2*c + 2712, 0 = -3*c + 3*i + 2682. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*i - 8*i**3 - 15*i**3 + 12*i**3 - 16*i**3 - 63*i**2 - 78*i**2.\nAnswer: -3*i*(i + 5)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 6:57 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 11*u + 2. Let f be t(-12). Let d = 16 - f. Suppose 0 - 1\/4*p**3 - 1\/2*p**d - 1\/4*p = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*h + 0)*(-3 + 1 + 3)*(4*h - h + 12*h - 1).\nAnswer: -30*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*i + 11 = h, 1 = 5*h + 3*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176698716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7254*x + 7275*x - 21 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*b**5\/9 + 19900*b**4\/9 + 694705*b**3\/3 - 2519962*b**2\/9 + 1010516*b\/9 - 44968\/3 = 0 for b.\nAnswer: -73, 2\/5, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 2 (c) 2\/119 (d) -7 (e) -3\/82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 1\/225*b**6 + 0*b**5 + 14 - 1\/90*b**4 + 0*b**2 + 0*b**3 + b. Factor s(k).\nAnswer: 2*k**2*(k - 1)*(k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22516.31439 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2207547267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = -5*i - 2, -4*i + 5 = -5*u. Suppose i = -s - s + 6. Solve j = -2*b - 2, 5*j + 27 - s = 4*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6286 + 25145\/4. Let v = 0 - -2. What is the nearest to 1 in b, v, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*k = -1994 - 2686. What is the remainder when 227 is divided by k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 4*o + 3*q, 39*o - 36*o + 10 = 4*q for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -377?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + f + 12 = -2*b, 5*b = -5*f. Suppose -b*t = -29 + 5. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2051 in -5, 1\/2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3 - 29*j**2 + 263*j?\nAnswer: -18*j - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8068859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1001*d + 4058. What is c(4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -475318, 22.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drdt when four letters picked without replacement from {d: 6, t: 1, r: 8}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + (sqrt(605) + (2*(sqrt(605) + -1) - sqrt(605)) - sqrt(605)))**2 + -2).\nAnswer: -132*sqrt(5) + 1821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -15.4. Which is the third smallest value? (a) 0.06 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 5*m**2 - 200*m + 1665. Give j(8).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 826.86 to the nearest ten.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-126)\/(-4)))\/(180\/(-420))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2564411.\nAnswer: 19, 139, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from oudoqqsqqvoqdooq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2516, -1162, 210, 1600, 3008?\nAnswer: 4434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6}. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157848 by 360.\nAnswer: -6577\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*z + 4 = 0, 7 - 13 = -3*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134264 divided by -2582?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p**2 - 96*p**2 - 6*p**2.\nAnswer: -79*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5 + 328*q**4 + 3120*q**3 - 328*q**2 - 3124*q = 0?\nAnswer: -71, -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 393864, 393874, 393888, 393906?\n\"Answer: 2*l**2 + 4*l + 393858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f - 4. Let y be (-66)\/(-9) - f\/(-3). Let z(d) = d**2 - 7*d - 2. List the prime factors of z(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*y = 12, 5*g + 3 - 27 = 2*y. Let x(q) = 13*q + 2. Is x(g) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 - (5 + 0 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(468) + sqrt(468) + sqrt(832)*-2 - (1 + 0 + sqrt(208) + 2).\nAnswer: -38*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 321*r**5 + 8*r**4 - 4*r - 47. Let s(a) = -322*a**5 - 6*a**4 + a**3 + 4*a + 48. Let j(z) = -3*q(z) - 4*s(z). Find the second derivative of j(h) wrt h.\nAnswer: 6500*h**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508 - 1625*v**2 - v + 0*v + 483*v**2 - 507.\nAnswer: -1142*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*b = -429, -2*k + 3*b - 141 + 1025 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2998, 6005, 9010, 12013, 15014?\nAnswer: 18013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p - 5*m = -32*p - 95, 5*m = 4*p - 31. Let l = p - 41. Suppose y - 148 = 5*d - 9, 0 = -5*y - 5. Is d less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.40648 nanometers in micrometers?\nAnswer: 0.08640648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 18*m**3 + 8*m**2 - 33*m + 15. Let k be u(-23). What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62.4 - 24.3. Let f = o + -38. Which is the nearest to 0.5? (a) -4\/9 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y + 2. Let x be k(1). Solve 2*n + 16 = 3*w, 6 = -4*n - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -255*k**8\/56 - 3*k**4 + 174*k. Find the third derivative of d(p) wrt p.\nAnswer: -30600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + 0 + sqrt(432) + sqrt(3) + sqrt(27)\/(sqrt(18)\/sqrt(2))) - (2*(sqrt(3) + sqrt(12)) - (0 + sqrt(9)\/sqrt(3)) - (3 + sqrt(3)*1 + 0)))**2.\nAnswer: 528*sqrt(3) + 23241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4638 + -4639.22. Which is the smallest value? (a) -2 (b) 0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 474.8 + -475. Let z be ((-1)\/3)\/((-9)\/(-243)). What is the nearest to 2 in 5\/4, c, z?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126787.718 - -0.41?\nAnswer: -126787.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 66.\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5*u - 68926*h**4*u + 2105*h*u + 11*u wrt h?\nAnswer: -20*h**3*u - 827112*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 689 + 757 - 1446 - 337*a in the form c*a + z and give c.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/6*(-2)\/(-6). Let o = 5.5 - 5. Let u = -1044 - -1048. Which is the third biggest value? (a) o (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/42 - (-3 - -2)*28\/(-588)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 2*y**2 + 0*y**2)*(-76*y**2 + 9*y**2 + 328*y**2) + 2*y**4 + 5*y**4 - 2*y**4.\nAnswer: -517*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10889422391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 66 = -2*w, 0 = -3*w - 98730*r + 98746*r + 275 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70902691 to the nearest integer?\nAnswer: 8420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -w + 2, -j = -5*w + 5 + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039717 rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s**3 + 81\/4*s**4 + 117 + 162*s + 0*s**2. What is the derivative of h(i) wrt i?\nAnswer: 243*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - -3)\/(4\/(-10)). Suppose -j = -1 + 11. Let x = o + j. Solve -3*z + 19 = -4*g, z + 5*g + 14 = -x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3 = -w - 2*a, 0 = 3*w - 4*a + 21. Let n be (-6)\/w - 5 - 0. Let v be (n - -1)\/(10\/2). Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0\/(-1))\/2. Suppose 3*r - 9 = k, -3*l - 2*r = -6*l + 15. Let t(w) = w**2 - 4*w - 28. Calculate the remainder when l is divided by t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/35)\/(2\/830). Let l = -202 + r. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/193705 and -52\/71365?\nAnswer: 1355935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -204, 2, -0.2, -3\/16 in decreasing order.\nAnswer: 2, -3\/16, -0.2, -23, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*r**2 - 20 - r + 18 - 21*r**2 + 4*r**2 to j*r + o*r**2 + l and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 11*u**3 - 21*u**2 - u + 6. Let z(c) = 5*c**3 - 10*c**2 + 3. Let d(o) = 4*x(o) - 9*z(o). Determine d(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 28*l + 92. Calculate k(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**7\/210 + 19*k**5\/30 + k**4\/12 - 12*k**3 - 28*k**2. What is the second derivative of o(m) wrt m?\nAnswer: 12*m**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 700.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*s = -110 + 96, -2*f + 3*s + 12 = 0. Factor -2\/3*n**2 + 1\/3*n**5 + 0 + 0*n**f - 1\/3*n + 2\/3*n**4.\nAnswer: n*(n - 1)*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-4) + 7\/((-56)\/26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1097 - -46.0097. Let u = p + -46. Let v = -8 - -8.3. What is the closest to 2 in u, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.4. Let j = -108.7972 + 108.4. Let n = y + j. What is n rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -326501 (base 9) to base 10.\nAnswer: -195049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(7*k**2 - 18*k**2 + 2 - 21*k**2).\nAnswer: -64*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -309*n - 8702 + 1286 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26174*k - 598451.\nAnswer: 26174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 69.6 (b) 1 (c) 6 (d) 4 (e) 0.0039\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -10\/3*n**3 + 5\/8*n**4 + 0 + 0*n + 3*n**2. Differentiate c(y) with respect to y.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 16*x + 45. Suppose 4*g + 3*o = -42 + 2, 2*g - 4*o + 42 = 0. What is t(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32 + 47)\/(3\/16). What is the remainder when 19 is divided by a\/13 + (-42)\/273 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(0\/1 + 2). Let o = -11481 - -11483. Sort -2, o, u, 1.\nAnswer: -2, u, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 83*a**3 - 2*a**2 + 3*a - 2. Give l(1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22244, -64503, -134942, -233567, -360384?\n\"Answer: -y**3 - 14084*y**2 - 8159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2211 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111608957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0*j - 2*j - 1 + 0. Let s be u(-5). What is the tens digit of (0 - -1) + s\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, 5, 9, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12683 divided by 6.\nAnswer: -12683\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 9:43 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/3 + (178 - 2). Let i be q\/21 + 2\/(-7). Suppose -4*b + i*b - 8 = 0. What is the remainder when 3 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 0, -166805 + 1449 = -2*o - 4*z. What is the smallest common multiple of 14 and o?\nAnswer: 578746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6412 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-176)\/45)\/(-11))\/(2\/5). Let j(t) be the first derivative of -t**4 + 0*t - 1\/3*t**2 + 6 - s*t**3 - 1\/9*t**6 - 8\/15*t**5. Solve j(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150960316 and 16?\nAnswer: 603841264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szjleeb. Give prob of sequence je.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/21*-21 + 10. Suppose u*t + 468 = 21*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -4) + 8\/(-4). Suppose 0 = -4*v - 5*h + 89, -h + m*h = 4*v - 107. Calculate the greatest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10940913 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45068*a + 2*a**3 + 45068*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7285 + 10300. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*d - 7 + 28, -3*d = b + 13. Let z(c) = 5 + 5*c**3 - 4*c**3 - 4. What is z(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.71738*2.723.\nAnswer: 1.95342574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**6\/720 - l**4\/4 + 3*l. Let x(u) be the third derivative of g(u). Let y(t) = 14*t. Give y(x(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1903745, 1903820, 1903895, 1903970, 1904045?\n\"Answer: 75*d + 1903670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = 2*i + 2*f, 5*i - 25 = -5*f. Let p be (-1)\/5 + 166\/5. Let d = 53 - p. What is the lowest common multiple of i and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0258849087 rounded to six decimal places?\nAnswer: -0.025885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uecocopcpoopppoop. What is prob of picking 4 p?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from {d: 6, a: 3, y: 1, c: 2, e: 5, h: 3}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 241*h + 24 - 7 - 16 as x + c*h and give c.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12511431 to the power of 1\/2, to the nearest integer?\nAnswer: 3537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 166317852 to the power of 1\/2, to the nearest integer?\nAnswer: 12896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {b: 2, r: 2, o: 1, a: 1, z: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 2\/3 (c) 1.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/19, -1, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2677 + 2682. Let k = -0.5 + 0.2. Which is the second smallest value? (a) 3\/8 (b) n (c) k (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 - 213*c**3 + 2643*c**2 + 22317*c - 53550 = 0. What is c?\nAnswer: -7, 2, 25, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3515 is divided by 390.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -267*w + 15. Let d(p) = -53*p + 3. Give 21*d(y) - 4*i(y).\nAnswer: -45*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6566 (base 7) to base 8\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10308 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 + -59. Let x = r - 33. What is the remainder when 37 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -266.897 and 10178.\nAnswer: 9911.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:06 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 35*t**4\/4 + t**3\/3 + 563*t. Let w(k) = 2*k. Calculate r(w(y)).\nAnswer: 420*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101516 + -3?\nAnswer: -101522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 1224*n + 93636.\nAnswer: 4*(n + 153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-8))\/((-2)\/4). Let r = 2 + j. Calculate the least common multiple of r and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(12\/(-8))*9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose -4*x + 7*x = 0. Suppose -h*z + 3 + 3 = x. Solve z*o + 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7583429 years in centuries?\nAnswer: 0.007583429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(810)*1 + sqrt(810)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by 8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - b - 8. Let a be k(4). Suppose -4*g = 0, -7 = a*s + 2*g - 27. Solve u - s = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -6 (b) -1\/37 (c) 71 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from sttesfuquttsfsts.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 12*n = 25. Let a(y) = -2*y**3 - 5*y**2 + 6*y + 3. Let q(o) = 2*o**3 + 6*o**2 - 7*o - 4. Calculate n*q(f) + 6*a(f).\nAnswer: -2*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*m - 3 = -142, 4*v - 5*m = 216. Suppose 50*b - 2 = v*b. Suppose 4*i = 3*i - 3*o + 122, -b*i + 5*o = -222. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977*g - 983*g + 126 = 0. Let k(j) = 14*j + 2*j - 4 - g*j. Give k(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1\/5, 4\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7432 to 2 decimal places.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 8*i**2 - 6*i - 10. Suppose -5*t + r = -55, -t + 4*r = t - 4. Let b = t - 20. What is the tens digit of q(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 5. Let y be (-44)\/6*15\/(-10). Suppose -y*i = -16*i. Let d be j(i). Let k(n) = -n + 1. Determine k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, f: 1, h: 7}. Give prob of picking 4 z.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = -28. Suppose m - 33 = 137*i - 138*i, -3*i - 45 = -5*m. Solve -m = -l*o - 58 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*d + 1, -8*q + 4*d + 21 = -9*q. Is 2 - (2\/q + 20748\/(-105)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w**4 - 2594*w**3 + 2594*w**3 + 2*w)*(1 - 2 - 2)*(-3 + 5 - 3 + 1 - 1 + 1 + (-2 + 1 + 3)*(-4 + 2 + 1) + 2 - 2 - 2).\nAnswer: 168*w**4 + 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466236 + 50679 = 8724*u - 189729 for u.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/7 + 10\/70. Sort 2, r, -5.\nAnswer: -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 = -5*u + 11, 0 = -2*u. Let h(x) be the second derivative of -x**3\/2 - 5*x**2\/2 - x. Let v be h(0). Put d, v, -6 in ascending order.\nAnswer: -6, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnqnnnnnnwgnnpp. Give prob of sequence pg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckkc when four letters picked without replacement from ckckcckcckckkk?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 122, 311, 614, 1025, 1538?\n\"Answer: -b**3 + 63*b**2 + 7*b + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from {d: 1, v: 2, o: 1, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*q + 9. Is (-1)\/(-4) + 150\/q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -21\/200?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44\/3? (a) -2 (b) 0.3 (c) -0.2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -3376?\nAnswer: 3374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 69*q**2 + 240*q + 11902. Let m be x(-70). Let 30\/7*k + 8\/7 + k**m = 0. Calculate k.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) 155 (c) -1\/8 (d) 0.4 (e) -2 (f) 447\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/3)\/(24\/(-400)). Suppose 2*m - 2*j - 88 = 0, -3*m = -0*m + 5*j - q. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8328, 8290, 8246, 8196, 8140, 8078?\n\"Answer: -3*t**2 - 29*t + 8360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459420 is divided by 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 1, n: 1, a: 1, v: 1}. Give prob of sequence vns.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4140 and 920.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 58477 = 5*v, 0 = -2*v - 168*x + 167*x + 23398. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/21)*b)\/b*b*b*b**32)\/(b\/(b*b**(2\/41))*b**7) assuming b is positive.\nAnswer: b**(23248\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*w + 43 = 0, -7*v = -3*v - w - 46. Let t = 2 - -3. Calculate the smallest common multiple of t and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccooocccoococ. What is prob of picking 3 o and 1 c?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1256351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181829 by -626.\nAnswer: 181829\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/9070 and 107\/60?\nAnswer: 54420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -189.58288 * -1.\nAnswer: 189.58288","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 3. Let v be ((-18)\/(-10))\/(d\/30). Let n(j) = 55*j**3 + 9 - 8*j - v*j**2 - 2 - 54*j**3. Determine n(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1160 and 5960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*o**2 + 1346520*o.\nAnswer: 5*o*(5*o + 269304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 3*v + x + 17, 3*x - 21 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 2480*i**2\/3 - 1511932*i\/3 + 3033776\/3.\nAnswer: (i - 2986)*(i - 2)*(i + 508)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*g - 2*q - 3*q, q - 4 = 3*g. Let z be 15\/6*(-2 + g). Let n be 2\/z - (-44)\/10. Solve -3*i - 22 = -5*b - 0*i, -n*b = -i - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 938368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from bibiib.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 976371645 a multiple of 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2935*g - 92 = 2912*g. Let s(l) be the third derivative of -3\/8*l**g - 8*l**2 + 0*l**3 + 0*l + 0 - 3\/20*l**5. Find the second derivative of s(v) wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -2.108 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 536 = -0*c. Is c*(-2)\/8*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.86 rounded to zero dps?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -53 - (-60 + 30)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 6, 10, 16, 24, 34?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517651687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1107*t**2 - 552*t**2 - 564*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 8*s**2 - 6*s + 4. Let u be -20 - 13*(-11 + 10). Give r(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-42)\/(-5 - -2). Let a = -4 - r. What is the remainder when 41 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2. Let q(v) be the second derivative of 0*v**2 + 0*v**3 - 1 + 129\/4*v**4 + 6*v. What is t(q(p))?\nAnswer: -299538*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 15) to base 11\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -297*j**3 - 7*j**2 + 11*j + 2. Let t(y) = -595*y**3 - 15*y**2 + 24*y + 4. Let g(f) = -13*q(f) + 6*t(f). List the prime factors of g(1).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/11 + 368323*t\/11 + 33484.\nAnswer: -(t - 368324)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26758 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2679 + 3529. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - -4.01. Let r = -0.13 + -0.27. Which is the third smallest value? (a) i (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6908, -6945, -6982, -7019, -7056, -7093?\n\"Answer: -37*i - 6871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**5\/20 + 17*s**4\/12 - 5*s**3\/2 - 13*s**2\/2 - 4*s. Let m be u(16). Solve -5*l = -25, -4*l = -4*f - l - m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 384016?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 71 - 71)*(0*h + 0*h - 1233*h**2 - 884*h**2 + 48*h**2).\nAnswer: -20690*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 880630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515092.4 rounded to the nearest one thousand?\nAnswer: 1515000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4170.425 millimeters in meters?\nAnswer: 4.170425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -22.3. Let l be (-1)\/(62\/96 - (-18)\/(-27)). Let p = 44 - l. What is the fourth smallest value in p, 2\/11, 0.1, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/189 - (-17)\/21 - 1. What is the second biggest value in z, 0.169, 4\/7?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c**2*i + 284540*c**2 + 737277*i - 12 wrt i?\nAnswer: 4*c**2 + 737277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a**(3\/7)\/a*a*a)\/a)))\/(a**1\/a*a)*a\/(a*a**(3\/8))*a**(4\/5)\/a assuming a is positive.\nAnswer: a**(-321\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62378324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47862.957 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -195, -186, -173, -156, -135, -110?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2928 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**4 + q**3\/3 - q**2 + q - 2. Let y be n(1). Solve -p - 9 + y = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -65. Calculate the least common multiple of (-6)\/4 - 78\/(-4) and n.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 - 105. Suppose -4*r + 0*r - 6 = -2*h, 0 = -o*r. Put 6, h, 1 in decreasing order.\nAnswer: 6, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(11)*4))\/(sqrt(12)\/sqrt(4)*3) - (0 + ((sqrt(1000) - sqrt(1000)*-2) + sqrt(40))\/(1*(sqrt(72) - sqrt(8) - sqrt(8))))**2.\nAnswer: -1280 + sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*q**2 + 51*q - 197*q - 2 + 51*q + 46*q + 49*q.\nAnswer: -124*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226371 is divided by 16168?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 808 and 4949?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1.41942\nAnswer: 4.25826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 47*d**2 + 94*d + 166. What is n(49)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 * 9.3.\nAnswer: -818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-116694)\/72)\/((-6)\/16). Suppose m = 15*n + 1022. What are the prime factors of n?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, i: 4, h: 2}. What is prob of picking 3 x?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3304144?\nAnswer: 2, 29, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.34 - 52.66. Let h = -50.213 - 4.787. Let v = z - h. Which is bigger: v or -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 306, 342, 378?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 - 1635*q - 4066200 = 0. What is q?\nAnswer: -753, 1080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + -77 - ((0 - 1) + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 99*-53.2139\nAnswer: -5268.1761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 2*p - 3*p)*(-18*p - 3214 + 3214)*(-p**2 + 3*p**2 + 3*p**2) to v*p**4 + j + g*p**2 + s*p**3 + n*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 9, i: 8}. What is prob of sequence ii?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -202*x**2 + 6*x - 10. Let s(c) = c. What is d(s(p))?\nAnswer: -202*p**2 + 6*p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*l + 225 = 0, -4*l = -82*z + 77*z + 566. Let h be 762\/8 + 2\/(-8). What is the greatest common divisor of z and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 6*v**2 + 4*v. Suppose 49*j - 190 = 47*j. Calculate the remainder when j is divided by w(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2196.9 - 2653. Round v to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28294643 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -28*a**2 + 226*a - 12. Does 43 divide z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-6)*6\/4. Let x(k) = k + 3. What is the remainder when 78\/15 + z\/10 is divided by x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/7885319 and 107\/160108.\nAnswer: 31541276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7460\/3 + 2582. Let b = y + -2035\/21. Let c = -2 - b. Sort c, 0.5, 0.4 in descending order.\nAnswer: 0.5, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 6*t**2 + 6*t + 5. Let b be v(-5). Suppose b = -w - 5*w - 138. Let z = -20 - w. Solve 0 = -7*i + z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 22864559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -324586 divided by 16?\nAnswer: -162293\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 616518\nAnswer: 1\/616518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 102011222121?\nAnswer: -102011222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770231939.\nAnswer: 3, 7, 84296759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, e: 2, u: 8, d: 1, x: 2}. Give prob of picking 1 e, 1 a, and 2 u.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s. Let t(j) = -j**2 - 9*j - 7. Let d be t(-6). Let u(g) = -13*g - 4 + d*g + 4. What is 2*h(o) - 3*u(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1220705180 to the nearest 100000.\nAnswer: -1220700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73470219 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 2*k + 2*k + 3*k + 3*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-1))\/(-3)*52\/(-416)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -15. Let s = -7 - -6. Let y be (-4)\/(-1*2) + s. Which is greater: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*l + 12 = 0, 67*w = 61*w - 3*l + 21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 30\/4512599?\nAnswer: 30\/4512599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + f - 12 - 7 = 0, -312*r + 332*r + 5*f - 120 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 143451621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 670979 and 506.\nAnswer: 14761538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57202 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*y + y - 9, 3*y + 15 = 0. Suppose -3*m - 12 = -o, -5*o - 1 + 4 = 4*m. Let f = m + j. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*c + 26, c - 3*n + 10 = -2. Let x(m) = -m**2 - 5*m - 2. Let s be x(-4). Let l(q) = -3*q + 1 + 2*q + s*q. Determine l(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -2*n**5\/75 - n**4\/3 - 14*n**3\/9 - 10*n**2\/3 - 16*n\/5 - 5307. Find y, given that p(y) = 0.\nAnswer: -4, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53323, -106656, -159989?\nAnswer: -213322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 2*a - 1. Let g(r) = 5*r**4 - 50*r**3 - 20*r**2 + 70*r + 35. Let q(u) = g(u) + 35*m(u). What is t in q(t) = 0?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7514632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498265 and 878?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*a + 8*l - 75, 5*a = l + 162. Calculate the remainder when 230 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 10:54 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339 divided by 8?\nAnswer: 1339\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 990180?\nAnswer: 990180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374423615?\nAnswer: 5, 74884723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -43479 (base 10) in base 8?\nAnswer: -124727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -754*4\/(-16)*2. Calculate the greatest common divisor of n and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25364750 to the nearest integer?\nAnswer: 5036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 12603162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evbwztte. Give prob of picking 1 z, 1 b, and 1 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5448465307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21221 + 10?\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:58 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 10*d**2 + 8*d - 2. Determine o(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231187\/20 + 11561. Calculate the common denominator of r and 7\/(-1)*27\/24.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -913 - 6?\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -583\/3 + 195. What is the closest to x in -5\/2, 2\/3, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*a = -1634 + 1713, 3*p = -a - 37 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c - 16*c + 17*c + 4. Let n be (0\/(-3))\/(1 - 2). Suppose 4*t = -n*t - s + 30, -t = 5*s - 17. Let k(v) = -5*v + 2. What is t*k(a) - 4*g(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 + 11.2. Let i = 10 - h. Let r = 1.17 - 1.08. Which is the closest to r? (a) 3 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, h: 3}. Give prob of sequence hhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -68. Solve z = -3*i + 12, -i + 6 = 2*a - 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)*q*q\/q**29 assuming q is positive.\nAnswer: q**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6507, -0.4, 1\/3, -1\/30 in descending order.\nAnswer: 1\/3, -1\/30, -0.4, -0.6507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2127?\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8708 is divided by 415.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 20, -32, -136, -310?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 3\/2, 37, 0.4, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, x: 5}. Give prob of picking 1 t and 3 x.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1, -0.203, 2\/15 in ascending order.\nAnswer: -1, -1\/3, -0.203, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020210220220 (base 3) in base 13?\nAnswer: -1a3bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-357752)\/2*(-4)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6991 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 878414 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5149 - -5193. What is the lowest common multiple of b and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 4*f. Let y = 0 - f. Let d be 1\/y*0\/(-4). Solve -3*m - 2 + 5 = d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 1\/57346625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 545251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*r = 565*r - 32. Calculate the greatest common factor of 99 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 543.35 + -0.85. Let q = -542 + l. Put -2\/3, -1\/2, -0.34, q in increasing order.\nAnswer: -2\/3, -1\/2, -0.34, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41731117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 5*b**2 - 4*b + 13382. What are the prime factors of a(0)?\nAnswer: 2, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20003499 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 640 + ((-65)\/25 - (-6)\/(-15)). Suppose 635*a = k*a. What is the closest to a in -2, -6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23879997 is divided by 7959864.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 922 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111262213 by -6.\nAnswer: -111262213\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*p - i + 42, -4*p - 3*i + 8 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -28.1. Is 22 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - 109. Solve 0 = 5*w + x*g - 27, -5*g + 23 = -3*w + 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y = 5*d - 3, -2*y = 5*d - 9. Let r be (-1)\/(3 - (y - 0)). Let i be (-1)\/(-2)*(-4)\/8. Which is the biggest value? (a) r (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10268 and 2998256?\nAnswer: 2998256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 1144, 2570, 4566, 7132, 10268?\nAnswer: 13974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**5*t*t))\/t)\/t*(t*t*(t*t**(-2)\/t*t)\/t*t)\/t)\/(t**(1\/3)*t*t)**(-22) assuming t is positive.\nAnswer: t**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -7. What are the prime factors of 34 - (2 + c - 3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35041 divided by -7\nAnswer: -35041\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 9*z - 5*h - 32 = 0, 5*z + h - 26 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1414600 to the nearest ten thousand.\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46025)\/2630*182\/65.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2. Let t(s) be the third derivative of -347*s**4\/24 + s**3\/6 + 3*s**2 + 444. Give y(t(g)).\nAnswer: 120409*g**2 - 694*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18894656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - -10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*o - 1473, 6*r - 3*r - 1449 = -4*o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 6, 5, -42, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.22, -2\/5, 0.06, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79635965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*w + 54 = -30 - 94, 8*w + 751 = 4*o + 17*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 56 = -98 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6240\/845 + (-6 - 2). Sort 5, -5, b in ascending order.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 h when four letters picked without replacement from jwjwwjwjwhwwjj.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**3 + 3*w**2 - 3*w + 18. Let b(z) = -5*z**3 - 2*z**2 + 2*z - 17. Let m(n) = -3*b(n) - 2*y(n). Find the first derivative of m(h) wrt h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -16015?\nAnswer: -16015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1))**(2\/37))**(-15))**(-11) assuming w is positive.\nAnswer: w**(-330\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1705\/18 - -121\/2. Let f = s + 34. Put f, -1, 1\/9 in decreasing order.\nAnswer: 1\/9, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/2 + -17)*(-54)\/(-108). Let u be (-133)\/m - 78\/(-208). What is the greatest common factor of 51 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 (base 10) in base 6?\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxgxxxffygxc. What is prob of picking 1 c, 2 f, and 1 x?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1044989 - -2058142. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-20) + (-1)\/(-4). Suppose d = 5*b + 4*z - 2*z - 30, -2*b - 5*z = 9. Suppose -b*x + 300 = 28. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 2*f + 1. Let l be d(-1). Let y = 17 + -22. What is the closest to l in 5, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpr when three letters picked without replacement from purdargdddur.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 3*n + 1. Let w be x(2). Is w smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from hiftx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7113023 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38253395 a multiple of 401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1.87. Let w = -5.13 + q. What is the closest to -1 in w, 0.1, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p**2 + 51*p - 51*p + 2 in the form v*p**2 + o + g*p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1041633, -1041634, -1041635, -1041636?\nAnswer: -1041637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/20 - 2189*v**3\/6 + 16*v**2 - 206*v. Let r(l) = 2*l**2. Calculate h(r(j)).\nAnswer: -12*j**4 - 2189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4821099 + 29\nAnswer: 4821128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1296628 in descending order.\nAnswer: 1296628, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41783 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c - 2*c - 21*c)*(4*c - 6 + 6)*(3 + 4 + 5).\nAnswer: -1392*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280 + 134 - 6*g**2 + 146 + 23*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98700938*j**3 - 21136*j**2 - 1308 wrt j.\nAnswer: -592205628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.34 or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269 + 281. Sort -5, 4, m, -3 in decreasing order.\nAnswer: m, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -77*j**2 + j + 5. Let y(q) = -20*q**2 + 1. Calculate b(f) - 3*y(f).\nAnswer: -17*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 2 = 3*t - 3*r, -2*t + 3*r = -17. Calculate the smallest common multiple of 612 and t.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from {h: 3, t: 8}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 11 + 3 + 5 - 5 - 2 + 4 - 3 - 2 + (2 + 2 - 2)*(2 - 1 - 3) - 4 + 0 + 1)*(-1 - 7 + 2)*(-58*g**2 - 54*g**2 + 105*g**2).\nAnswer: -126*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5 + 5*u - 2*u - 2*u - 2. Let h(l) = l + 2. Let s(j) = -5*h(j) + 6*w(j). List the prime factors of s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 9842732.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away 0.079741?\nAnswer: -0.019741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03621 + 37.30021. Let n = t + -37. Let b = n - 0.26400107. What is b rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 6*z + 8. Suppose 4*f + q - 28 = 0, -4*q + 2*q + 2 = -f. Give p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26454000 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 13*a. Let t(k) = 3562*k**2 + 10686*k. Determine -2*t(i) - 1644*z(i).\nAnswer: -3836*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -560517 at most -560518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -28, -53, -92, -151, -236?\n\"Answer: -g**3 + 2*g**2 - 16*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0142? (a) 2 (b) 0.5 (c) 1\/4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -75, -88, -67, 0?\n\"Answer: 2*q**3 - q**2 - 46*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 70\/30*(-2)\/(2\/(-3)). Let g = t + -2. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 7*p**2 + 14*p + 49. Let a be w(-6). What is the closest to a in 13, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 469*j**4 - 3*j - 20?\nAnswer: 5628*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f + 19 - 19)*(16*f**4 + 25*f**4 - 17*f**4) - 3*f**5 + f**5 + f**5.\nAnswer: 383*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8871511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m + 6. Calculate h(-7).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 278275, 4, 0, 2\/5 in ascending order.\nAnswer: -0.3, 0, 2\/5, 4, 278275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 5*s**2 + 3*s + 1. Calculate the remainder when 25\/((-13 + (4 - -11))\/((-2)\/(-1))) is divided by y(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 49*q + 3. Let n(f) = 147*f + 9. Calculate -2*n(p) + 7*s(p).\nAnswer: 49*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1413103?\nAnswer: -1413110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 95*z**2 + 49*z**2 as v*z + m + s*z**2 and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 399170261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 61*a + 198. Let n(z) = -2*z**2 + 123*z + 368. Let d(j) = 6*n(j) - 13*x(j). Factor d(h).\nAnswer: (h - 61)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 - 5*m**2 + 7*m - 4*m**4 - 3*m + 0*m to l*m**3 + s + c*m**2 + y*m**4 + t*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5556*d**4 - 1040*d**2 - 13.\nAnswer: -133344*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4\/(-58))*((-9)\/(-6))\/((-310)\/620)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007877848 rounded to 5 decimal places?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109 in 10124, -2\/103, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-27)\/g)\/g**(2\/15)*g**18\/(((g\/(g\/g**(-3\/5)))\/g)\/g) assuming g is positive.\nAnswer: g**(-113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(18)\/(sqrt(3)*-1)) - (sqrt(44)\/sqrt(4) + -1 + -2*sqrt(1584)) - 6*2*sqrt(1331)*2*-6)**2.\nAnswer: 3212*sqrt(11) + 28371597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -286, -72, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*b + 10, -2*b + 1 = j - 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1941*n**3 - 10*n**2 - 5. Let b(z) = 973*z**3 + 4*z**2 + 2. Give 10*b(y) + 4*i(y).\nAnswer: 1966*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + z - 1. Let h(b) = 4*b**2 - 2*b - 3. What is h(g) - 5*x(g)?\nAnswer: -g**2 - 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.88 less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(175) + (sqrt(175) + -1)**2 + sqrt(175) + sqrt(7) + -4) + 3 + 1*sqrt(343) + 3 + sqrt(343) + 1.\nAnswer: 15*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y)\/(y*y*y*y\/y**7)*(y**(1\/7)\/y)**(-2\/19) assuming y is positive.\nAnswer: y**(701\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31623 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - -140?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + sqrt(612) + sqrt(612)*-3 + 4 - (-3*(sqrt(612) + 2) - sqrt(612))) + (-2*sqrt(612) + 0 - (sqrt(612) - -1*3*sqrt(612)))**2.\nAnswer: 18*sqrt(17) + 22042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/11)\/(w\/(w*w**(9\/2)*w)))**(2\/23))**50 assuming w is positive.\nAnswer: w**(5850\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 0 - (98 - 104)) + 55 - 10?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22608586 divided by -7.\nAnswer: 3229798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27252641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 5. Suppose 5 = -p - 2*r + 11, 2*p - 3*r - 5 = 0. Determine g(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 18\/25, 1, 2, -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*j*s*w - 20*a*j*s - a*j*w + 3*a*s - a*w - 22*w wrt s.\nAnswer: a*j*w - 20*a*j + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5605e12 - 1?\nAnswer: -5605e13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -44, -80, -126, -182?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*h, -2*p + h = p + 5. Suppose 0 = -3*n - 3. Put p, n, 5 in decreasing order.\nAnswer: 5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6*-3*0. Let d = 4 - c. Solve 3*v - 2*v + 12 = -3*l, 0 = d*v - 4*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 51*b**2 + 218*b - 315. Give u(-55).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 0. Let b be -1 - (0\/4 + a) - 0. Suppose f = -b*n + 32, 2*f = -f + 2*n + 64. What is the least common multiple of 3 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -132249?\nAnswer: -132251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 5:01 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1788 - 1765. What is the remainder when 44 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87936 and 1810272.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.56 + 31.44. Let a = 23 - b. Which is smaller: a or 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 136, 220, 332, 484, 688, 956, 1300?\nAnswer: 1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34.77003 days?\nAnswer: 3004130.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40093, 160653, 361581, 642877?\n\"Answer: 40184*j**2 + 8*j - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*b - 158 = -b, -5*b = 5*a - 265. Calculate the remainder when 268 is divided by a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5702, 11602, 17678, 23930, 30358?\n\"Answer: 88*s**2 + 5636*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 89\/3, -2\/367, 0.013, -1?\nAnswer: -2\/367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2093, -2097, -2103, -2111, -2121, -2133?\nAnswer: -2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2135931?\nAnswer: 3, 7, 17, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 37204360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1829178, 3658350, 5487522, 7316694, 9145866?\nAnswer: 10975038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqiqqllq. What is prob of picking 2 l?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/8)*h)**(-4\/33) assuming h is positive.\nAnswer: h**(-5\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**7\/5040 - g**6\/1080 + g**5\/720 + g**4\/72 - g**3\/6 + 5*g**2. Let x(q) be the first derivative of y(q). Factor x(v).\nAnswer: -(v - 1)*(v + 1)*(v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4374*p**5*u - 175*p**4*u**3 + 2*p**2*u**3 - 466570*p**2 + 2*u**3 wrt p.\nAnswer: 262440*p**2*u - 4200*p*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -6740, -1\/4, -3?\nAnswer: -6740","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 8*s - 38. Let t be b(-12). Let j be (5212\/t - 1) + 2\/(-10). Suppose 0*p - j = -4*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2044 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*r = 16, -44*b + 8*b + 31*b + 3*r - 23 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1421)\/(-14)*(-5 - -25). What is the highest common factor of l and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 2\/((-22)\/(-209))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23306283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 61*a - 38*a - 25*a = 11*k - 47, -k = -4*a + 39 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 - 2*k**2 + 3*k. Let a(o) = 16*o**3 + 11*o**2 - 14*o. Suppose 5*z + 26 = -2*u + 58, 3*u - 3*z = 27. Calculate u*m(b) + 2*a(b).\nAnswer: -b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32122 (base 4) in base 13?\nAnswer: -55c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(-156 - 34*q + 156 + (-5 + 5 - 2*q)*(-3 + 2 - 1) + (-1 - q + 1)*(-52 - 36 + 64)) to a + z*q and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -43*v - 5. Let o(z) = -15*z - 2. What is 3*m(s) - 8*o(s)?\nAnswer: -9*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f - 2*g - 36, -15 = -5*g. Let n = f + -3. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13376)\/(-5472))\/(7\/(-9)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let g(z) = z**2 - 11*z + 104. Calculate 2*g(j) + 22*v(j).\nAnswer: 2*j**2 + 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 5, a: 6, g: 3}. What is prob of picking 1 t and 2 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17990 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9073 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 - 93624.\nAnswer: -93626.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 7. Let a be h(-11). Suppose -4*u = -b + 23 + 18, -a*b + 110 = 2*u. Let i = 18 + -3. Calculate the remainder when b is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (2 + -1))*-1. Suppose 0 = 6*t - 3*t + 24. Let j be (-28)\/(-4) + -5 - (-17)\/t. Which is greater: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/210 + 5*h**4\/24 + h**3 - 5*h. Let x(m) be the second derivative of k(m). Differentiate x(z) wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 76*c**2 + 81*c - 12. Is 19 a factor of x(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1125534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 14*y**3 + 1 - 6*y**2 - 26*y**3 + 17*y**3 + 9*y - 2*y. Let p(m) = m**3 + m. Let r(t) = g(t) - 2*p(t). What are the prime factors of r(3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1212 - 2?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(0 + 3 - 4)*(1 - 4*t + 0*t + 6*t)*(29*t + t + 46*t)*(-1 + t + 1) as f*t + h*t**2 + d*t**3 + m and give d.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/945*28\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 l, 1 s, and 1 v when four letters picked without replacement from {d: 1, s: 1, r: 1, l: 1, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w - 1175. Let j(m) = 11*m - 2378. Calculate 4*j(v) - 7*t(v).\nAnswer: 2*v - 1287","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 8, c - 2*c - 10 = 3*s. Suppose 5*v - 5 = 15, 0 = f + c*v - 1123. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48\/32)\/((-2)\/(-4)). Suppose 5*l - 8 + b = -5*r, -2*r = 5*l - 14. Solve l*v + 2 = -18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 6*l**2 + 5*l - 6. Let w be z(-5). Let f be (-126)\/w + 0 + -1. Suppose 0*u - 67 = -4*g - u, -4*u = f. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13 - 50\/(-45)) + (-2)\/18. Let c(h) = 3*h + 17. What is c(v)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 2, r: 4, m: 4, c: 5, f: 4}. Give prob of picking 1 f, 1 c, and 1 m.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.5 - 25. Is k > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b (base 13) to base 7.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/5 - 20973*g**4\/5 - 1127624*g**3\/5 - 328848*g**2 = 0. What is g?\nAnswer: -52, -3\/2, 0, 10540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 4, l: 4, e: 2, i: 1}. What is prob of picking 1 i and 2 w?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q**2 - 1 + 1 + 8 - 5*q - 2*q. Let k(a) = -26*a**2 + 20*a - 23. Let i(z) = 6*k(z) + 17*p(z). Calculate i(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 0*n = -2*n + 4, 0 = 3*x - 5*n + 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p. Suppose w + w - 20 = p. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -921*0.0795.\nAnswer: -73.2195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 6 - 6. Suppose 2*c + 10 - 196 = d. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.077640793 to 6 decimal places.\nAnswer: -0.077641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o. Let v(z) = -241*z**2 + 42*z - 12. Let u(k) = 2*k**2 - 7*k + 2. Let l(w) = 6*u(w) + v(w). Give l(j(b)).\nAnswer: -3664*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -571*b**2 + 843 wrt b?\nAnswer: -1142*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r = 45*r - 43*r - 920 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -395, 7, 0.1247, 2\/9 in increasing order.\nAnswer: -395, 0.1247, 2\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2 - 1244*a + 636. Determine d(155).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -5 - (-2 + 13 + -1 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c**3 - 2*c**2 + 2*c + 2. Let g(q) = -19*q**3 + 5*q**2 - 5*q - 4. Let v(d) = -2*g(d) - 5*w(d). Differentiate v(k) wrt k.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) -1 (c) 3\/166 (d) -6\/221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 86, 0.7, 0.63, 1\/4, -0.1, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680 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 the ten millions digit of 54365402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -3, 5, 1\/3, 46, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2\/5 + 7244*u\/5 - 7248\/5 = 0 for u.\nAnswer: -1812, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109\/((-2289)\/462) - -65?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 + 1560*y\/11 + 1558\/11.\nAnswer: 2*(y + 1)*(y + 779)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205*789.\nAnswer: 161745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163073254, 326146505, 489219756, 652293007, 815366258, 978439509?\nAnswer: 1141512760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 333 - 216. Let j = -39 + x. Is (70\/20)\/(3\/j) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0.1. Let t = -0.28 + -0.1. Let s = t + 0.08. Which is the third smallest value? (a) s (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 682\/242 + 0 + 4\/22. Suppose -4*q + 750 = 2*k - 4*k, -939 = -5*q + z*k. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/11)*x)**(-2\/41) assuming x is positive.\nAnswer: x**(-16\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240 - 245) + (0 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/36*(-6)\/45*4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen eighths of a minute?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035705852 to 7 dps.\nAnswer: 0.0035706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33509 = -2012*m - 61055 for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 4:45 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/60 + 5*h**4\/24 - 5*h**3\/2 - 2*h**2 + 319. Determine t(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71 - 4?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*r - 166, 16*b - 14*b = -r + 166. Suppose -b = -d - 80. Calculate the highest common factor of d and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 1 + 4*i**2 + 4*i**2 + 3*i - 19*i**2 to the form f + x*i + y*i**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 21. What is r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107428638?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.2. Let h be 2\/(-6) + 36 + -35. Is g smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*z - 159*c**2 - 10*z wrt c?\nAnswer: -4*c*z - 318*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*b**2 - 45*b**2 - 5*b**3 + 85*b**2 - 8*b.\nAnswer: -5*b**3 + b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-9 + 8) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1196 (b) 2\/7 (c) -10\/7 (d) 176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-38)\/38)\/((-14)\/8). Let s = -108 + 759\/7. Which is the smallest value? (a) r (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278982 or 276038?\nAnswer: 276038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131203 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 21 + 0*y**3 - 8*y + 4*y**3 - 9*y**2 + 10*y**3 - 16*y**3 + 3*y**3. What is l(10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 29*c - 1648 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**4 + 4265*h**3 + 500535*h**2 - 1013885*h + 509080 = 0.\nAnswer: -712, -143, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292519119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 1, 1\/3, 2\/5, 749, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168310 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 0, 5, 7.3043, -0.02?\nAnswer: 7.3043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 = 3*y, -5*h + 2*h + y + 20 = 0. Suppose -5*o - h = -6*o. Sort -3, 2, o in decreasing order.\nAnswer: o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166853 is divided by 207.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/15 + 175\/(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 0, 2*b - 3 - 11 = 4*f. Let u = b - 0. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151330522 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1970 * 2030\nAnswer: 3999100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.3 + 146.3. Let z = l - 122.8. What is the second biggest value in -0.23, z, -2\/3?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 13*q - 42. Let n be b(8). Let s be (-1080)\/n + 2\/(-14). Sort s, -2, 1, 27 in descending order.\nAnswer: 27, s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(56)*2)\/sqrt(2) - (sqrt(448) + 0 + sqrt(252)*1).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 212*p - 835. Is z(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-8 - (-7 - 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*v + 370*v = 594 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:15 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -6. Let z = -1 - c. Let d(o) = -2*o - 2. Let p be d(-1). Solve -18 = 3*u - 2*j, p*j = -u - j - z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33720 and -0.3.\nAnswer: -10116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000326 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (1 + (71 - 31))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -2, -33, 4.\nAnswer: -33, -3, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**(2\/53)*p*p*p**(2\/55)*p**(14\/5) assuming p is positive.\nAnswer: p**(98906\/20405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from iwiwiiw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3)*(-m - 6 + 6) - 3*m - 3*m + 2*m - 71*m + 31*m + 317*m + (-2*m + m + 3*m)*(-2 + 1 - 1) as k + f*m and give f.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -52891 divided by 5\nAnswer: -52891\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -24*2*5\/(-8). What is the highest common divisor of o and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8017*y**2 - y**4 - 8015*y**2 + 40*y**3 + 2*y**4 - 1 + 74*y in the form w*y**4 + u + m*y + s*y**2 + d*y**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 181722 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: Put -3, -1, -2\/7, -90, -1.28, -5 in decreasing order.\nAnswer: -2\/7, -1, -1.28, -3, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1835 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2937 and -75\/44.\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/9 (c) -1\/4 (d) 548 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7284669.9 - 7284670.063499239. Let m = x - -0.1635. What is m rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 2406, 6 in ascending order.\nAnswer: 6, 61, 2406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*f = 12 - 87, 0 = -k + 3*f + 27. Let x be (k\/(-10))\/((-2)\/5). Solve x = -l - 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -16. Let p(x) = x**3 - 55*x**2 + 52*x + 117. Let m be p(54). Sort 3, g, m, -5.\nAnswer: -5, g, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 491*m - 2*f + 2459, 0*m + m + 2*f - 8 = 4*f - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 2)*(4*g - 5*g + 3*g) + 1 - 1 - 4*g)*(2 + 2 - 6)*(-899*g + 2040*g + 2905*g) to n*g + s + a*g**2 and give a.\nAnswer: 64736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117.2 + 117.27. Let m = 1.63 + 6.37. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -83*z - 1641. Give n(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -876, -885, -894, -903?\n\"Answer: -9*q - 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -163 + 2 - 7*v**2 + 206. Let x(w) = w**2. Calculate x(z(g)).\nAnswer: 49*g**4 - 630*g**2 + 2025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (29 - 7) + (9 + 5 - 6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14564 (base 10) in base 13?\nAnswer: -6824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2869 - -22949\/8. What is the smallest value in -0.16, y, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1351345*g*v**3*x - 2*g*v**2 + 670*v**3 - 7*v**2 - v wrt x?\nAnswer: 1351345*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 4. Let o(b) = 1. Let a(f) = -4*o(f) + t(f). Let w(r) = 5*r + 7. Let v(s) = 4*a(s) + w(s). What is v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-297)\/(-15) + 16\/(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(15)\/sqrt(3) - sqrt(5)) - sqrt(5))*2 + sqrt(40)\/((sqrt(48) - sqrt(192)\/sqrt(4))\/sqrt(6) - sqrt(8)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**3 + 99 + 22*u**2 - 51*u**2 - 30*u**3 + 31*u**2.\nAnswer: -52*u**3 + 2*u**2 + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let t(h) = h - 4. Let i(p) = -2*p + 6. Let k(d) = 5*i(d) + 7*t(d). What is b(k(l))?\nAnswer: -6*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*m = -207, -25 + 88 = o - 3*m. Calculate the highest common factor of o and 1032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -18. Suppose 3*j = 4*d - 14560006, -2*d + p*j = -7696947 + 416937. Round d to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31.4 or -46481?\nAnswer: 31.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0*i**4 + 16*i + 0*i**2 - 5\/21*i**7 + 0*i**5 + 0*i**6 + 0 + 5\/3*i**3. Find the second derivative of k(b) wrt b.\nAnswer: -200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/36556 and -129\/740.\nAnswer: 182780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(-9))\/p))**27*(p*p\/p**(-1\/11))**(-3\/10))**(2\/5) assuming p is positive.\nAnswer: p**(29631\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -22*j**5\/5 + 3*j**2\/2 + 2533*j + 338. Differentiate r(i) with respect to i.\nAnswer: -88*i**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7) + -1 + 4 + sqrt(252) + 4 + 3))**2.\nAnswer: 3500*sqrt(7) + 11075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1073, 1089, 1115, 1157, 1221, 1313?\n\"Answer: z**3 - z**2 + 12*z + 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 631*t**2 + 1245*t + 13282. Calculate f(633).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111010110 - -100?\nAnswer: -10111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232*i*q**2 - 148054*i + 2312524*q**2 + 11*q wrt i.\nAnswer: -232*q**2 - 148054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.276022ml in litres?\nAnswer: 0.004276022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 244984.98\nAnswer: 6124624.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**3 + 11*z**3 - 53*z**3.\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: dd (base 16) to base 9\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55800 = -6732*j + 7972*j for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/4 - 2*y**3 + 7*y**2\/2 + 10*y. Let a(u) = u**2 - 6*u + 3. Let g(c) = 14*a(c) - 6*p(c). Factor g(x).\nAnswer: -4*x*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500100 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.60751 and -0.5.\nAnswer: -1.10751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12*(-12)\/1. Let c = 9 - 0. Solve -n*v = -c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-6))\/((-124)\/(-167493)). Is -2*(-6)\/12*(-2 + p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 148 = 3*m, -2*c + 0*c - 52 = 4*m. Let s = c + 3. Let z = 70 + s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, -2 in decreasing order.\nAnswer: 17, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 123625.\nAnswer: 370875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/147 and -11\/446320.\nAnswer: 9372720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3 + b**4 + 2*b - 6*b**4 - 3 + 2*b. Let p(g) = -11*g**4 + 9*g - 13. Let k(y) = 9*i(y) - 4*p(y). What is the first derivative of k(f) wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 16025320\/(-1224) - (-4)\/(-18). Let m = a + 13094. Find the common denominator of 1\/85 and m.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 20*k**3 - 36*k**3 - 16*k**3 + (82*k + k**2 - 82*k)*(-k + 2*k - 3*k) to the form x + r*k + l*k**2 + y*k**3 and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64590*f**3 + 7996*f**2 + 2*f + 3 wrt f.\nAnswer: -387540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2071, -2067, -2063?\nAnswer: -2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4515*v**2 + 2*v + 4551*v**2 - 18139*v**2 - v + 4510*v**2 + 4484*v**2.\nAnswer: -79*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*m + 64. Suppose -m*l + 1304 = 2*v, 3*l - 1950 = -12*v + 11*v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 17*c**2 + 15*c + 11. Calculate m(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 42*f + 69. Let c(j) = -939 - 42*j + 526 + 483 + 2*j**2. Let u(t) = -7*c(t) + 6*n(t). Factor u(l).\nAnswer: -2*(l - 19)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 3326?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*n + 355. Suppose 2*g = -5*l - 3*g + 330, l + 2*g - n = 0. List the prime factors of l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -a8ea?\nAnswer: -a8e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 52 = -8*f. Suppose 3*v - 4*v - 2*t + 31 = 0, 4*t - 8 = 0. Let z be 2 - (-1 + v\/f). Which is the smallest value? (a) 0.5 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2785608*g**2 + 2785624*g**2 + 2785617*g**2 - 11142458*g**2 + 2785606*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1, -122\/67, -5, 8\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -2\/5*t**5 + 0*t**3 - 11\/4*t**4 - 85 + 0*t**2 + 86*t. Differentiate b(a) with respect to a.\nAnswer: -8*a**3 - 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 8*x**2 - 18*x + 56. Is k(11) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294434, 588869, 883302, 1177733?\nAnswer: 1472162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = 5. Let g = y + -1. Suppose g = -3*o + 8*o - 805. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102212121 (base 4) to base 5.\nAnswer: 4414220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*k - 402, -3*u - 99 = -2*k - 402. What is the remainder when u is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -24494*x. Let o be h(-2). Is 5\/(-35) - o\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 2. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.79 - -0.69. Let z = -1.1 - q. Which is the second smallest value? (a) -2\/3 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -3\/2, -7, -1 in descending order.\nAnswer: 0, -1, -3\/2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -4*z**6\/15 - 52*z**3 - 2*z**2 - 41*z. What is the first derivative of w(s) wrt s?\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - 9) - (-6 + 3 + 21 + -57)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**3 + x**3 - x**3)*(2*x - 2*x - x)*(0 - 1 - 1) to n*x**3 + s*x + l*x**4 + g*x**2 + r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -675.56 + -32.94. Let r = 709 + u. Which is the nearest to 3? (a) 5 (b) 3.9 (c) 4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.936 - -91.836. Let z = j + -90. Sort -1\/5, z, -1\/6, 4\/3 in increasing order.\nAnswer: -1\/5, -1\/6, z, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4792 and 93030?\nAnswer: 222899880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 967.\nAnswer: -2901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 173*l - 1824*l - 16*l. Let c(k) = 2*k. What is u(c(y))?\nAnswer: -3334*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 9. Let t = 8 - 5. Suppose -4*n + 3*z + 15 + 17 = 0, t*n - 5*z = 35. Let j(m) = -6*m + 14. Give n*j(i) + 8*w(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, 427, 476, 525?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 11 - 1 = 0, 4*g + 3*z = -908. Let i be (1575\/60)\/(6\/g). Round i to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 6*m**3 + 5*m**2 - 7*m + 141. Let y be d(2). Which is greater: 86 or y?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470968772?\nAnswer: 2, 1283, 91771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 9*t**2\/2 - 5*t + 4. Let r(h) = -9*h + 4. Let x(b) = 3*p(b) + 4*r(b). Calculate x(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/5*11*54\/15 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/2*66\/(-55). Put b, 5, 2, -6 in ascending order.\nAnswer: -6, b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6799, 13653, 20535, 27457, 34431?\nAnswer: 41469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 43 (c) 2\/9 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2. Suppose 3*h - 10 = h. Let d(u) = 4*u - h*u + u - 8*u. Give y(d(j)).\nAnswer: -256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 146 = -0*k + 5*k, 4*z = 5*k + 292. Suppose 3*d - 4*t = -2 + 67, -3*d + z = -2*t. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -4. Suppose -4*i + 7 = -z, -z = -3*z + 2. Let s(l) = i*l + 4*l - l - l + 2. Let x(c) = -3*c - 2. Give g*x(r) - 5*s(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 5770?\nAnswer: 46160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 57192.\nAnswer: 400344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8494876969356778.99999166 - 8494876881612566. Let f = -87744212 + y. Let r = 1 - f. What is r rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-112)\/(-63) - (-4)\/18. Let c be (78\/30 - 1)*30. Let f = c + -26. What is the greatest common factor of h and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t - 34. Let d be x(-7). Let b = d - 35. Solve 3*z - o - 2 = -b, -4*z - o = 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348297897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by 90?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 298\/2773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 176382?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v - 29. Let h(p) = p**3 - 6*p**2 + 2*p - 3. Let s be h(6). Is m(s) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219345 = -4592*v + 660177 for v.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 168 = 8*u. Let n be 63\/u*(-11 - 1). Let d(m) = -m**2 + 14*m - 15. What is the remainder when 59 is divided by d(n)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -11241130?\nAnswer: -11241114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 + -198. Is f less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204392)\/8810)\/(1\/((-1)\/(-2)*5))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 64.4. What is the third smallest value in m, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - -5)*(-6)\/((-42)\/(-5131))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4909559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1671694 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -458*x + 9715. Determine l(19).\nAnswer: 1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-22) - 2\/11. Let q be o*1 - 1\/(-1). Let u = 2 - q. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - 2*v + 2*v)*(7*v - 7*v - 2*v**2) - 2171*v**3 + 70*v**4 + 2171*v**3 as h*v**2 + p*v**3 + f + i*v + k*v**4 and give k.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 - 2. Let l be o(0). Let b be 0\/(l*(-2)\/(-4)). Suppose b = -11*h + 6*h - 20. Is h not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhh. Give prob of picking 1 v and 1 h.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932023.\nAnswer: 59, 15797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-140)*1)\/(2725\/250).\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 77 and 667.\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2597 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 and 93\/11445992?\nAnswer: 11445992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/5, 2, -2, 1.777, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 74?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 60 = -12. Let t be 0 - 5\/(-15) - (-371)\/3. Suppose s = -n + 28, -3*s + 2*n = -3*n - t. What is the smallest common multiple of p and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5027 + 7295. Is f a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-5) - (-12)\/20. Let q = 284 - 183. Suppose 0 = f*y + 41 - q. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15344414 to the power of 1\/2, to the nearest integer?\nAnswer: 3917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 287*c - c**3 + 287*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z + 158. Let f = 177 - 190. Let l be v(f). What is the highest common divisor of 124 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. What is the first derivative of 69*i - 69*i + 6*i**2 - 4 + h wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 40 = 11*x. What are the prime factors of (-3)\/5 - (-496)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 176*m**2 - 2*m - 2. Let j(w) = w. What is -2*j(p) - x(p)?\nAnswer: 2*p**3 - 176*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*y = -936, 5*y - 2*y - 9 = 0. Let b = 51 + r. List the prime factors of b.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1883714 divided by 4781?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3404 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031 times -37?\nAnswer: -75147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 742\/851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 101*q - 2. Calculate h(1).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = -66*f + 96 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 90*c**2 - 5*c + 16. Is l(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728\/(-2184)*(-6)\/(-139)?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (11530\/(-8))\/(-5) + (-12)\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-2*(-189)\/6. Let m = -122 - -126. Suppose -2*y + 14 = 3*l - 11, -2*l + m = -5*y. What is the highest common factor of l and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 159 = 3. Let i(h) = h**3 + 19*h**2 + 16*h - 11. Is i(c) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5 + 13. Let l(h) = -h**3 + 3*h**2 + 4*h + 3. Let m be l(d). Suppose m*u - 5*u + 20 = 0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15285821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.2, -4178?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03629 * -300\nAnswer: -10.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 89 = -9*a. List the prime factors of a.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)*t)\/(t**1\/t)*(t**1)**(-36\/11) assuming t is positive.\nAnswer: t**(-347\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*n - j - 13, 4*n + 2*j - 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/60 + r**4\/24 - r**2. Let q(x) = -x**2 - x - 1. Let l be 4\/6 - (-2)\/6. Suppose 5*y - l = 4. Give y*q(d) + 3*w(d).\nAnswer: 2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 732.6 > -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 + 5 - 169*y**2 + 164*y**2 + 15*y - y**3. Let c be v(-7). Let l be (-4)\/(-6) + 26\/6. Put -2, c, l in decreasing order.\nAnswer: l, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 31, -8 in descending order.\nAnswer: 31, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 >= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -101, -35, 105, 343, 703, 1209, 1885?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36081 is divided by 3006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + f - 3. Let w be j(-3). Let o be 40\/(-6) + 2\/w. Let c(x) be the first derivative of x**4\/4 + 5*x**3\/3 - 3*x**2 + 2*x - 485. What is c(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1071019602, -5 in increasing order.\nAnswer: -1071019602, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4) - 0 - (-14)\/(-19096)*775?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-6))\/1*(-1)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2636a (base 14) to base 12\nAnswer: -46476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 383*l. Let c(p) = -p + 1663. Determine c(o(f)).\nAnswer: -383*f + 1663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -210495 or -2525939\/12?\nAnswer: -2525939\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = z - 36 - 184, 2*z = -2*c + 96. What is the third smallest value in c, -1\/2, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 6. Let m = -10 - d. Find the first derivative of 2*v**4 + 3*v**m + 0 - 4 - v**4 wrt v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(-56)*(-16)\/(-3). Suppose n*l - 43 = -x + 45, -38 = -2*l + x. Let p(v) = -4*v. Calculate the remainder when p(-10) is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.2? (a) 2 (b) -0.5 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29471?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + 1.3. What is the second smallest value in -0.2, 3\/5, -5\/2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4 = -2*d, -4*d - 4 = 5*g + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(-3) - (-2320)\/60 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5*k\/(k\/k**(-2)))\/(k\/(k**(-2\/3)\/k))**(21\/5))**(-4) assuming k is positive.\nAnswer: k**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11017\/42 - 809\/3. Let s be (-6)\/21 + 226846\/14. Let n = s - 777595\/48. Find the common denominator of n and h.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3772 + -25124\/7. Let z = 182 - c. Is -0.1 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 574 = -484 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 10185 = -15*f. Let n(v) = -f - v + 973 - 488. Let q(m) = 5*m. Calculate 2*n(o) + q(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-15))\/((-16)\/(-372)) and ((-12)\/16)\/(-3) + 3\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - (-41)\/4. Suppose 4 = 4*s - 3*d - 11, 5*s - o = 2*d. Let r = -160\/3 + 53. Are r and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d2a - d?\nAnswer: d1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 6*w. Let a = 3259 - 3258.8. What is the nearest to -2\/9 in w, a, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)\/((-15)\/(-60)). Solve -n + 4 = 3*d - 3, 0 = 4*n - x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 855256976.\nAnswer: 855256973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23282328 is divided by 1099?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 + -294 - (24 + -115)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmmkkkkkk. Give prob of sequence kkkk.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4 + (1 - (0 - 0)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = v + 3*v - 16, 12 = 2*v - x. Solve -28 = -v*h - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145510000 rounded to the nearest 1000000?\nAnswer: -146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - (56 + (-26 - -6) + 8).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27753 + -554947\/20. What is the common denominator of o and 85\/148?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/(-34)*(-958)\/6. Let j(t) = 337*t**3 - 1. Let r be j(-1). Let x = r + o. Which is the smallest value? (a) 3 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3)*1*(15 - 0). Let m(t) = -3*t**2 + 2*t + 2. Let l be m(2). Let q(f) = -9*f + 8. Let u(g) = 8*g - 7. What is c*q(p) + l*u(p)?\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/30*27 + 584\/130*2.\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67469 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 847500 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18094*b**3 + 16670*b**2 wrt b.\nAnswer: 108564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {y: 7, n: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 32. Let z be g(7). Suppose 3*u = 14 + 31. Calculate the remainder when (z - (-4)\/(-2)) + (-75)\/(-25) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 78*b + 64. Let d be t(-40). What is the highest common factor of 99 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*n + 12 = 2*m, 3*m - 4*n = 5. Solve 0 = y + 5*z - 18, 0*z = -y + m*z - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 23*m**2. Let b(l) be the third derivative of 0*l**3 - 1\/30*l**5 + 0 + 27*l**2 + 0*l**4 + 2*l. Give u(b(p)).\nAnswer: 92*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1330\/4003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1001 + 3*a**2 - 2*a**2 - 1008 + 3*a + 2004. Give g(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -5. Suppose 3*s = 2*s + 4*d - 1, -3*d + r = s. Suppose 128 = 5*y + 3. Calculate the remainder when y is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/4*1\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1456038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:37 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 5)*(-2)\/(-4). Let n be 0*(2\/(-6) - j). Solve 3*t - 7*t - 12 = n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/120)\/(1\/3)*-1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2296)\/672 + -2*3\/18. Sort -5, l, 5, 4\/3, 12 in ascending order.\nAnswer: -5, l, 4\/3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 15818599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 5*n - 1. Let d be v(-4). Let z(q) = 8*q - 12*q + 9*q - 2 + 15*q**2 - 1. Is z(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -5, -4, -2 in ascending order.\nAnswer: -5, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 + 93.7. Let f = -0.272 - -0.29. Let q = f + -0.218. What is the closest to 2\/5 in -5, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-22 + 17) - (21 + -1 + 6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 4153652*y.\nAnswer: -2*y*(y + 2076826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Let v be g\/(0 + 3)*108. Suppose -4*q = 5*f - v, -5*q + 2*f - 5*f = -122. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239769.6 times 2?\nAnswer: 479539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -93\nAnswer: -5\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1383 - -17?\nAnswer: 139a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + 4 = 12*r. What is the hundreds digit of r*(32 + 1)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 395 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1a45 (base 15) to base 16.\nAnswer: 136613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 (base 6) in base 8?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-3) + 2\/3. Let p(n) = -n + 4. What is the units digit of p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319944396?\nAnswer: 2, 3, 26662033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**27*r*r*(r\/(r*r**(-3)*r)*r)\/r*r*r**17*r\/(r\/r**(-2\/7)))**(4\/9) assuming r is positive.\nAnswer: r**(1364\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 8 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*h**6 + 103930*h**5 + 6339885*h**2 + h wrt h?\nAnswer: 5040*h**3 + 6235800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/9 + 1093*i\/9 + 364\/3.\nAnswer: (i + 1)*(i + 1092)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*l + 1 = 0, 5*a + l + 5 = 6*l. Let d = 7454 + -7456. Do a and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -22*r + 106. Let y = 154 - 149. Let k be o(y). Which is smaller: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 20720712812.59\nAnswer: 20720712807.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*d = 7 - 53, -b + 16 = -d. Let w = b + -9. Find the third derivative of -2*g**3 + g**w + 2*g**2 + 2*g**3 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 + (-5 - -9). Suppose 0 = u*g - 0 + 220. What is the common denominator of -61\/8 and 10\/g + (-941)\/88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:25 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1453, 2594, 3749, 4918, 6101, 7298, 8509?\n\"Answer: 7*z**2 + 1120*z + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/(800\/48). Put -0.1, z, 0 in decreasing order.\nAnswer: 0, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 193, -22, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**2 - 400*k + 1688. Calculate q(-61).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3188 + 0.9812. Let y = 22\/19 + -78\/133. Which is the biggest value? (a) -5 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 + 4.9. Suppose g + 2*q = -q - 6, -3*g - 2*q + 3 = 0. What is the second biggest value in g, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 702 + -687 + (-9 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72739 (base 11) to base 16\nAnswer: -19e36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 18311157*d**2. Let u(x) = -8*x**2. Determine s(u(r)).\nAnswer: 1171914048*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3008.772 * 4.\nAnswer: -12035.088","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 29*z - 34*z = -40, 5*a + 4 = z - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0, 4, 222.\nAnswer: 0, 3, 4, 5, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 5*b - 16, -829*b + 7 = 2*p - 826*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Suppose -4*p + 0*p + 19 = i*x, p = 3*x - 29. Suppose -6*d + 3*d = -x. Let t(b) = -b. Give t(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -160, -0.4, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2299)*-2 + 0)*-4 + 4 + -2*sqrt(2299)*-2)**2*2 + 5.\nAnswer: 3168*sqrt(19) + 662189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 1a3733?\nAnswer: 1a3729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29, 112, 221, 332, 421, 464, 437, 316?\n\"Answer: -4*p**3 + 37*p**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 56*z**2 - 4. Let u(i) = 12*i**2. What is j(u(a))?\nAnswer: 8064*a**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmyt when four letters picked without replacement from jmytttrt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Suppose -v - 4*l = -3*v - 34, t*v - 2*l = -26. Let f be ((-15)\/9)\/(1\/v). Solve f = -w + b + 4*b, 1 = w + 3*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20859\/5 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n - 1. Let o be u(1). Let y be (1 + o\/(-3))*-5. Suppose -y*w = -85 + 20. What is the remainder when 38 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 300, 312, 338, 384, 456, 560, 702, 888?\n\"Answer: w**3 + w**2 + 2*w + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1127)\/(-14))\/(-23) - 2\/(-4). Sort 32, -5, o, 2 in increasing order.\nAnswer: -5, o, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4\/((o**(-1\/10)*o)\/o)*(o\/o**(-20))\/o**(1\/22) assuming o is positive.\nAnswer: o**(1378\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 243 = -3*m, 4*m - 7 = 1. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 6*n - 9*n - n - 12*n + 36*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 13*p + 2317. Let z be j(-42). Solve 5*t + 3*i - 3 = 0, 0 = -49*t + 50*t - i - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**3 + 11082*g**2 + 129248*g - 53472 = 0.\nAnswer: -12, 2\/5, 2228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 191538, 0.09, 1.7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.015, 0.2, 22 in decreasing order.\nAnswer: 22, 3, 0.2, 0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 32. Let y(r) = 9*r**3 - 4*r**2 - 4*r. Let t(x) = 10*x**2 - 7*x - 3*x**2 - 10*x - 3*x + 27*x - 17*x**3. What is c*y(b) - 4*t(b)?\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)*r)**(-35)*((r\/(r*r**9))\/r)\/(r*r\/(r**(7\/2)*r)) assuming r is positive.\nAnswer: r**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5872 - 88082\/15. Let f be (-18)\/(-25)*(-2)\/8. Let x = f - 1\/50. Which is the second smallest value? (a) -4 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1\/6 - (48706\/(-12) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/2*(-8)\/12. Suppose 4*a + 5*q + 57 = 0, 2*q = -4*a + o*q - 75. Let r = 27 + a. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149586205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11179351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 8117543*b**2 - 1 - 183*b + 8117558*b**2 as g*b + y + r*b**2 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + h + 14. Let g be l(2). Suppose 4*b - 4*z - g = 0, 3*b + z = -5 + 11. Solve -20 = -b*u - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62539.7326 rounded to the nearest one hundred?\nAnswer: -62500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 + (-16)\/(-252). Let a = 49\/5 + -47\/5. What is the nearest to a in 0, g, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*2 - 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 81427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*v + 25 = -98*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -19, -15, 7, 53, 129?\n\"Answer: p**3 - 15*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + i - 7 = 0, z - 3*i = -34941 + 34930 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 144245271, 144245272, 144245273?\n\"Answer: g + 144245270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from uuwwwuqulpliluwuppq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12021 (base 3) in base 2?\nAnswer: -10001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhkkkhhhkhhhkhkkkkhh. What is prob of picking 2 h and 2 k?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((1 - 9) + (84 - 92)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 11300790*p + 11300790*p - 5 - 3*p**2 - 5.\nAnswer: -3*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (340\/1275)\/((-16)\/10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.21388ug in tonnes?\nAnswer: 0.00000000008621388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2)*1*(3 - 3). Suppose -4*x + 381 - 1681 = o. Let r = x + 500. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970468568.\nAnswer: 2, 3, 19, 29, 49669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 292*d + 2101. Let c(j) = -j**3 - j**2 - j + 2. Let r be c(-3). Suppose 0 = -5*w + r + 37. What is the remainder when w is divided by y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72598 and 114.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -54, -91, -136, -189, -250, -319?\n\"Answer: -4*t**2 - 17*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16936 and 689272.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-696)\/(-10530) + -45 + (-89403)\/(-1989)?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60092 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 - 230 = 19*o - 55 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from szuzd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = o. Let k = 4.9 - 5. Which is the closest to o? (a) 5 (b) k (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -231*o**3 - 134*o**3 - 13*o**4 - 3*o**2 - 12 + 365*o**3 in the form y + p*o + m*o**3 + x*o**4 + t*o**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 113*h**2 + 32*h + 1471. Let w be t(57). What is the greatest common divisor of 575 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 312*c. Let x(s) = -13*s. Let i(k) = -6*h(k) - 143*x(k). Suppose -5*y = -632 - 3258. Let z(o) = 778*o - 1557*o + y*o. Give i(z(r)).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from vesvqqsseeqqq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + -3*(-4*3*sqrt(242)*-6 + (-2*sqrt(242))**2 + 0 + (sqrt(242) - (5 + (sqrt(242) + 1)**2))).\nAnswer: -2343*sqrt(2) - 2155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 285*v + 0 + 5*v**2 + 3 - 4*v**2.\nAnswer: -4*v**2 + 285*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -571 - -575. Suppose -3*q + 926 - 369 = -2*a, 2*q - p*a - 358 = 0. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47a9 + 5a?\nAnswer: 4836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112)*1)\/(sqrt(144) + ((sqrt(144) - (sqrt(144)*1 - sqrt(144)))*-2 - sqrt(144))).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 488653567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 4*p**3\/27 - 32*p**2\/3 - 187. Factor a(q).\nAnswer: 4*q*(q - 48)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*d - d - 113, -o = -3*d - 121. Let h = 137 - o. Solve -5*q = -3*v - 19, 0*q - 16 = h*v - 2*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 3*q + 16. Let h be c(0). Let f = h - -33. Let t = f - -119. Calculate the highest common divisor of 21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5903006 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118a462 (base 15) to base 4.\nAnswer: 300001222232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d = -5*d + 184. Suppose 0 = -0*i + 4*i + 2*g - 5862, -d*g = 12. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/t*t*t**7*t*t)**(-45) assuming t is positive.\nAnswer: t**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = -o, -4*o + 17 = 5*m + 53. Let h(k) = -6*k**2 - k + 6. Let i(d) = -10 - 7 + 5095*d**2 - 5078*d**2 + 3*d. Calculate m*i(p) - 11*h(p).\nAnswer: -2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/2 (b) 2\/11 (c) 1\/7 (d) 292 (e) -4 (f) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 233*h + 3329. Calculate p(30).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.55 + 0.05. Let f(n) = 2*n + 23. Let u be f(-9). What is the third smallest value in u, 0.5, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ybyybyb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0583749309 to 5 decimal places.\nAnswer: 0.05837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3 - 102*b**2 - b + 1862.\nAnswer: 6*b**2 - 204*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/4 - 5*w**3 - 25*w**2\/2 + 17*w + 23. Let f be h(-13). Calculate the greatest common factor of 28 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -145, 226 in descending order.\nAnswer: 226, 5, 0, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**3 - d**2 + 3*d - 2. What is the tens digit of s(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*k - 3*w + 22, 4*k + 5*w - 17 = 0. Let c = -13 - -11. Is k*(2*c)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n - 100. Let c(s) = 3*s**2 + 24*s - n*s**2 - 24*s. Let j(d) = 7*d - 10. Let m(o) = -4*o + 6. Let r(t) = -3*j(t) - 5*m(t). Determine r(c(b)).\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 5*v**2 + 11*v + 9. What is z(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 6. Let n be k(-7). Let b(z) = 2 - 8*z - 3 + n. Let x(m) = -2*m. What is b(x(h))?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 - -3. Let x = 2621\/8 + -328. Which is the nearest to -1? (a) x (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3140*p**4 + 3586 + 708*p + 3141*p**4 - 74*p wrt p?\nAnswer: 4*p**3 + 634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185*u**2 + 236*u**2 + 407*u**2 + 6*u**2 to t*u + w + r*u**2 and give r.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j - 85 = 350 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.18 (c) 12 (d) 79 (e) -0.5 (f) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/218?\nAnswer: 1\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91)*-4*4 - 2*(sqrt(91) - 1*sqrt(91)))\/((-6*(sqrt(77)*-2 + sqrt(77)))\/(sqrt(891)*-2)).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**4\/4 + c. Let i = 17 - 10. Let b(v) = i*v - 7*v - v**2. What is x(b(y))?\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000557734897 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43011*g**3*j**2 + 230*g**3*j*w**3 - 2*g**3 + 8*g**2*w**3 - 5*g*j**2*w**3 + g*j wrt j.\nAnswer: -86022*g**3 - 10*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-4 - (-22 - (2 - 3))) + 140 + -147?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1678816*1\nAnswer: 1678816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -169*q*y - 99*q wrt y.\nAnswer: -169*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t = -53*t. Suppose -6*v + 8 + 10 = t. Solve 4*k = -v*b + 2, -5*b = -2*b - 4*k - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(425))**2 - (sqrt(68) - sqrt(68)*3)\/sqrt(4).\nAnswer: 2*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -93. Calculate the remainder when d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-344404.5\nAnswer: -172202.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + s. Let b(k) = 280*k**2 - 5*k. Give b(r) + 4*y(r).\nAnswer: 276*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Let u(l) be the second derivative of l**5\/20 - l**4\/2 + 7*l**3\/6 - 7*l**2\/2 + l. What is the units digit of u(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 8 + (-110 + -1 - (970 - 983))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -705 - -707. Find the third derivative of 28*b**3 - 302*b**x - 117*b + 3*b**3 - 5*b**4 + 117*b - b**3 wrt b.\nAnswer: -120*b + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-15)*(2 + -2). Solve v = -2*t + 2 + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-2)\/(-2) + -22. Find the common denominator of j\/49 - 82\/14 and 79\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -3, -2, -22, -472 in descending order.\nAnswer: -1, -2, -3, -4, -22, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 + 3707590*l**3\/3 + 3436555902025*l**2\/3.\nAnswer: l**2*(l + 1853795)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -182 in descending order.\nAnswer: 4, 1, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkdfdxxvkvfxax. What is prob of picking 2 v and 2 d?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0155 - -266.9845. Let k = s - 266.8. What is the second biggest value in 2, 3\/8, k, -3\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/8)\/(204 + -202).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 511 and 464836260?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5\/4 + 9*l**4\/4 + 477*l**3\/2 + 1095*l**2 - 3150*l = 0?\nAnswer: -10, 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-12)\/z**(-9)*(z**(-2\/65)*z)\/(z*z*z*z\/z**(-1\/13)) assuming z is positive.\nAnswer: z**(-397\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 96459.\nAnswer: 96459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483*9.3.\nAnswer: 4491.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 6. What are the prime factors of g(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.25 + -0.05. Which is smaller: -0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2))\/(-1 + 3). Let t = -1 - q. Suppose -a = b - 1, -4*b - 2*a - 1 = -3. Are t and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14969.43 rounded to the nearest ten?\nAnswer: -14970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 351\/2 - 176. Let f = 43 + -40. What is the nearest to -2 in d, f, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 8. Suppose 0 = 3*i - 6 + 12. Let m = 8 + i. Let f(a) = -11*a - 17. Let p be (-1)\/(-2 + (-27)\/(-13)). Give m*f(v) + p*n(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7539 is divided by 7539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 7 = 18, -100 = 5*z + 5*o. Let v = z + 20. Solve i = 2*t - 9, -3*i + v*t - 25 = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 36 - 49806\/1350) + (-4)\/30?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 130*h**3 - 995*h**2 - 1120*h.\nAnswer: 5*h*(h - 7)*(h + 1)*(h + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 2. Let l(f) = -10*f**2 - 584*f - 42616. Let y(d) = l(d) - 8*w(d). Factor y(j).\nAnswer: -2*(j + 146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 39. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915533 to the power of 1\/2, to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.4*1509088.\nAnswer: 11167251.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7930953.\nAnswer: 3, 179, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 89.3280213 and 363?\nAnswer: 273.6719787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2856 and 272.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/((-84)\/62312) + (-5)\/10. Let m = z - -5171. Find the common denominator of -85\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 3*m**2 - m. Let l be g(-2). Let t be (7\/l)\/(9\/(-90)). Differentiate -5*v**3 + 7*v**3 - 4*v**2 + 7*v**2 - t + 6*v**3 with respect to v.\nAnswer: 24*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6944 + 6944 - 60*s - 68*s.\nAnswer: -128*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 212 = -4*k, 5*d + 58 = k - 3. What is the remainder when 518 is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -8563\/336?\nAnswer: -8563\/336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 268. Let o = 169 + -329. Let q = o + j. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(363) + sqrt(363) + -2)*-3*4)**2.\nAnswer: -11088*sqrt(3) + 209529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/9)*n**(-3\/7))\/(n\/(n\/(n*n\/(n*n*n**5\/n*n)))*n**(2\/7))*(n**1)**(-2\/47)*(n**(-1\/5)*n)\/(n*n\/(n\/(n**0*n))) assuming n is positive.\nAnswer: n**(38474\/14805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/7*c - 15\/7*c**2 + 0 + 3\/7*c**4 + 3\/7*c**3.\nAnswer: 3*c*(c - 1)**2*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 30 = g. Suppose -g = -2*x - 7. Solve x - 2 = 2*k, 2*u - 5*k = -7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18.319 and 12881207.\nAnswer: 12881188.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5051*d - 644517 = -2906*d for d.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 11. Let a = c + 9. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*z + 239*z + 124*z)*(z + 3 - 3).\nAnswer: 325*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**5 - 96*x**4 - 1204*x**3 + 17360*x**2 + 230400*x + 640000 = 0.\nAnswer: -8, -5, 20, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -1\/2 (c) 4 (d) 4.5 (e) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6 and -131\/1653024?\nAnswer: 1653024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4260576.\nAnswer: 2, 3, 44381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 4:47 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*p - 85*p - 4*p)*(-12*p**4 - 2*p**2 + 3*p**4 + 4*p**4).\nAnswer: 700*p**5 + 280*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166512?\nAnswer: 2, 3, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/3 + 26*t\/3 + 32 = 0. What is t?\nAnswer: -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000127929 to 6 decimal places.\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*g, b - g - 24 + 17 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 733*z**8\/84 + z**4\/8 + 31*z**3\/2 + 2290*z**2. Find the second derivative of c(u) wrt u.\nAnswer: 58640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 258 + 60 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 3*s**2 + 562164 - 562164 - 3*s. Let j(v) = -v**2 + v. Determine 3*j(g) + t(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -26. Put 18, 3, c in descending order.\nAnswer: 18, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*3\/(-189)*27\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73897776 to the nearest integer?\nAnswer: 8596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/120 - j**5\/10 + 3*j**4\/8 + 7*j**3\/6 - 36*j**2. Let o = -3 + -5. Is i(o) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-1752))\/(89\/(-2)). Let h = -1715607\/3456404 - u. Let f = -4\/19 - h. Put 4, -5, f in descending order.\nAnswer: 4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 776 - 464. Suppose 44*u + 4*l - 424 = 40*u, -4*u + 3*l = -410. Calculate the highest common divisor of u and z.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*n - 25, n + 2 = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-12))\/(611\/(-39) + 7)*(-2041)\/(-17741).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 76 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -988 and -0.2?\nAnswer: 197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z + 164 - 20 = 0. Let n(a) = -2*a + 1 + 0 - 8 - 3. Determine n(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/6 + 2\/(-6). Let q be 36\/l - (-4)\/10. Let h(m) = 2*m**2 + 8*m - 6951. Let b be h(-61). Solve -1 = -q*r + b*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 4, e: 2, r: 5, s: 2}. What is prob of sequence qs?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 + 65*f**2 - 68 + 16*f + f**3 - 60*f**2 as d*f + i + t*f**2 + r*f**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17 from 111240439.\nAnswer: 111240456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1344 and 595?\nAnswer: 114240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -1.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.047 + 4.953. Let i = -470 - -473. Which is the closest to i? (a) 0 (b) -2 (c) f (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 9. Suppose 3*l - s*w = 36, 0*w = 5*l - 3*w - 76. What is the remainder when 48 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 14*w + 11. Let k(s) = s**2 + s + 1. Let o(c) = -b(c) - 2*k(c). Let y be o(-14). Solve 5*r - v - 3*v = 21, -5*v = 5*r + y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 360*a**2 + 107515*a + 70030.\nAnswer: 5*(a + 298)*(72*a + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.0767 rounded to one dp?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*r - 10 = 0, 5*r - 12 = -5*n + 2*r. Suppose m - 5 + n = 0. Let c = m - 7\/4. Is -1 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14365589?\nAnswer: 7, 757, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 17 = -4*l - x, 0 = 5*l + 3*x - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*x = -252*x + 5904. Solve 101*z - 85*z - x = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -42. Suppose 3*w + w = -3*m - 9, 0 = 3*w - 4*m - 12. Suppose w*n + n = 66. What is the remainder when n is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to 0.047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -527.76 and 805?\nAnswer: -424846.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 312\/(-36)*(-1176)\/(-392)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7055849966020 + 0.08\nAnswer: 7055849966020.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 1, q: 1, z: 1, o: 1, x: 2}. What is prob of picking 1 x and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/665479?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101694?\nAnswer: 2, 3, 17, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*a**2*h*y**3 + a**2*h*y**2 + 12*a**2*n - 55153*a*h*y**3 - 2*a*h + 15*h*n*y**3 - 38684*h*n - 2*y**2 wrt n?\nAnswer: 12*a**2 + 15*h*y**3 - 38684*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Suppose -33 = -5*w - p. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*o + 32*o + 39*o to d*o + b and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/522 and -139\/6.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 135, 237, 281, 243, 99, -175?\n\"Answer: -4*o**3 - 5*o**2 + 145*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 18 = -12*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(1*(-30)\/5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**4\/8 - 15*z**3\/2 + 7*z**2. What is the tens digit of w(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 37*l - 33. Let n be y(36). Solve 0*u + 11 = n*x + 5*u, -x = 5*u - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 46*q**2 - 1 - 47*q**2)*(4*q - 4*q - 2*q)*(q - 5*q + 2*q).\nAnswer: -4*q**4 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + m**3 - m**3)*(-m**2 - 5 + 5) - 7*m**5 - 25*m**4 - 5*m**4 + 9*m**5.\nAnswer: 4*m**5 - 30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 261440*u + 3136560.\nAnswer: 5*(u - 52276)*(u - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - u + 6 = -0*u, 3*u + 10 = 5*h. Let x(a) = -20*a**2 - a + 22*a**2 - h + 2*a + 736*a**3. Is x(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, u: 2, f: 6, b: 2}. Give prob of sequence ubb.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -71. Let p be 48\/t - (-4)\/18. What is the units digit of (-130)\/(-12) - p\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2\/3*v**2 + 4 - 2\/3*v = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 114 = 2*v + 5*b, 0 = -v - 4*b + 34. Let j = v + -1. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/40 + (-2 - 1) + 3. Which is the smallest value? (a) -4\/3 (b) p (c) -6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9*(2 + -38). Let u(z) = -z**2 + 10*z + 4. Let v be u(10). Suppose 0 = -4*h - 2*o + a, 0*o + 12 = 4*h - v*o. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t. Suppose 6 + 2 = 2*k. Suppose -h = -q - 2, h + 5*q + k = 3*h. Let w(c) = 3 + h - 5 + c. Calculate p(w(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694831?\nAnswer: 694831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -99\/7*q**2 + 162\/7*q - 1\/14*q**4 + 38\/21*q**3 - 181. Factor t(w).\nAnswer: -2*(w - 9)**2*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4\/2 - 118*c**3 - 1695*c**2 + 1251362*c + 148618391\/2 = 0.\nAnswer: -113, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1336033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 37. Let f = 23 - w. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -62*f - 213 - 1\/2*f**2 + 40*f**3. What is the second derivative of y(j) wrt j?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 f, and 1 h when four letters picked without replacement from hkvvkkkvvlvvhfvvvvv?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/52)\/(69\/9936*-27)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -181 - -63. Let h = m - -81. Let w be (h + 1)\/(6\/(-15)). What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/2, -0.05, -0.1, 3773.\nAnswer: -13\/2, -0.1, -0.05, 3773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17761750 (base 8) to base 10\nAnswer: -4187112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*w**3 - 11442*i**2*w - 10*i**2 - 7042*i with respect to w.\nAnswer: -6*i**2*w**2 - 11442*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 8*c**2 + 4*c + 6. Let i be v(-7). Suppose -8*n = 200 - 200. Solve 2*z + 5*h + 9 - i = n, -4*z - 4*h = -24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**2\/2 + w - 9. Let r(p) = -2*p**2 + 3*p + 3. Give 3*b(x) - r(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + a + 394, 4*a + 4 = 0. Let m = -235 + f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833600.5g to micrograms.\nAnswer: 833600500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/10 - (-242)\/4) + 4. Calculate the highest common factor of 48 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(720)*2.\nAnswer: -3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*b - 3*l - 6, 4*l = 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 276058.6 minus -123?\nAnswer: 276181.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 144*n**3 + 966*n**2 + 2356*n + 1248.\nAnswer: -2*(n - 8)*(n + 1)**2*(n + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447 + 153 = -49*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17871\/5 + -393617\/110. What is the common denominator of s and 3\/616?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:36 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248166 is divided by 463.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8620 is divided by 240?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3530\/41301*(-3)\/(-5)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 2*sqrt(65)*-1) + sqrt(65) + (sqrt(65) - 6*(sqrt(65) + -1*sqrt(65))))\/((sqrt(60)\/(sqrt(12)*3) + sqrt(5))*6).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 9. Let k be (-5)\/(-1) + u + 5899998. Round k to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 492*r - 19*r.\nAnswer: 482*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1059 - 525 - 534 - 6832*q - 24112*q to n + s*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3430 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:34 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30768*l = 5*i - 30766*l + 107, -7*i + 9*l - 197 = 0 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:51 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 14 - 1\/2*v**2 + 0*v + 1\/3*v**3. Let m(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -92 + 83 - (1 + -32). Solve -57*x - d = -46*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7235040 to the nearest 100000.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39480394 to the nearest integer?\nAnswer: 6283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*b**4*s + 49*b**3*s - 2*b*s - 2*b + 3*s - 3 wrt b.\nAnswer: -576*b**2*s + 294*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 870 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -189, -11, 3, 1, 0 in descending order.\nAnswer: 3, 1, 0, -1, -5, -11, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104144, -104145, -104146, -104147, -104148?\nAnswer: -104149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2 (base 15) in base 7?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -146612, -146613, -146614, -146615, -146616?\n\"Answer: -r - 146611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1217998340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/3853 and -51\/5.\nAnswer: 19265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (3 - 2))*(-9 + 6). Suppose 432 = 2*g - d, -16*d + 13*d - 648 = -u*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 23*s**2 - 3*s + 54. Let w be a(11). List the prime factors of (-100)\/(-40)*w\/10.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(21))\/(sqrt(7) - (sqrt(7) + (2*sqrt(112) - sqrt(112)))))**2*6.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -628 + 1081. Find the third derivative of q*v**2 + 6*v**6 - 450*v**2 + 5*v**6 wrt v.\nAnswer: 1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, k: 4, v: 3, w: 3, g: 6}. Give prob of sequence kkwk.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, g: 1, r: 9}. What is prob of sequence zrgr?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 2*r**2 - 7*r + 7. Let h be v(-5). Suppose -3 = -2*k + h. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -54, -108, -184, -288?\n\"Answer: -w**3 - 2*w**2 - 25*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36257014.6 + -13.8.\nAnswer: 36257000.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 764574, 3058325, 6881244, 12233331?\n\"Answer: 764584*h**2 - h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(35\/7))\/(7\/(315\/(-9))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 7*b + 8. What is g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51427735?\nAnswer: 5, 41, 250867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 + 718*h\/7 - 720\/7.\nAnswer: 2*(h - 1)*(h + 360)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3581330\/10*1\/1930. Let x = -15\/386 - o. Let n = 185 + x. Which is the smallest value? (a) 2\/17 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 716*o - 828*o**2 - 528*o - 5670*o**2 + 29 - 42*o**2 - 812*o**2 wrt o.\nAnswer: -14704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3232418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/24575 and -61\/19660.\nAnswer: 98300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53, -99, -167, -251, -345?\n\"Answer: w**3 - 17*w**2 - 2*w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61*-297.\nAnswer: 18117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**2 + 185*v - 129. Give g(-19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzkz?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzyyyyzzg. What is prob of picking 1 g, 1 y, and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39929474 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 3 - (11 + -6 + -215). Let h = w + -133. Is h a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -337.\nAnswer: -168.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*q + 49*q + 121. Is q != 54\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/68 - 14\/17. Is -2 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -1 (c) 5\/3 (d) 2.5 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 99 - 15. Let t be (-30 + -6)*2*(-10)\/l. Let k = -54 - t. Solve 3*r + 0*r = -k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**16*m)\/(m**9\/m))\/(m**(2\/3))**(3\/29) assuming m is positive.\nAnswer: m**(259\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71 - 1?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -7.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 452021*p**2. Let b(i) = 1102*i. What is m(b(u))?\nAnswer: 548936110484*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (100*f**3 + 164*f**3 + 144*f**3 + (-5*f + 5*f + 5*f**2)*(4*f + 4*f - 4*f))*(1 + 6 - 4)*(-3 + 2 - 1) as k + o*f**2 + p*f + t*f**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14258358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(99)*-1*1)\/sqrt(9) + 0))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 577*a**2 + 2*a - 21. Let v be q(-7). Suppose 20*t = 18*t + v. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -97*y**3 - 73*y**2 + 75*y - 3. What is m(1)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*x**2 + 1\/3*x**3 - 4\/3*x - 4\/3.\nAnswer: (x - 2)*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 - 4.6. Let u = 3 - 19\/7. Which is the third smallest value? (a) u (b) r (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57934962 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -0.2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66814 and 530926.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 108\/13, 4463, -1\/11 in decreasing order.\nAnswer: 4463, 108\/13, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 33281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156 + 178. What is the highest common factor of 99 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*m + 19466 - 18914 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4*o + 15*k**4 - 2203*k**3*o + 2*k**3 + 7*k**2*o - 446*k**2 - 1 wrt k?\nAnswer: 48*k*o + 360*k - 13218*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -11, 5.\nAnswer: -11, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = -5*z + 27, 3 = z. Solve -40 = 8*y - w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -103\/2*g**2 + 15 + 112\/3*g**3 + 0*g. What is the second derivative of q(m) wrt m?\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrb when three letters picked without replacement from {m: 1, r: 10, n: 1, b: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 5 + (3 - 3 - 1)*(-3 + 5 - 3))*(-2*s - 2*s + 5*s) + (0 - 2*s + 0)*(0 + 3 - 1).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*t - 2. Let a(y) = 6*y**2 + 4*y**2 - 6 + y**3 + 3 - 3*y**t + 4*y. List the prime factors of a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-782)\/3*19284\/73922?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-14)\/3) - (-629)\/259. Suppose n*i = -v - 19 + 58, 0 = 5*v - 5*i - 225. Calculate the remainder when v is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -206.88 and -7.3?\nAnswer: 1510.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000088439 rounded to 7 decimal places?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0 - 1\/24*a**4 + 2*a**2 + 0*a + 8\/3*a**3. Is l(10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(4)\/sqrt(2) + -3.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 19*m**2 + 47*m - 6. Let l be q(-16). Suppose -3055 = -l*o + 2745. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7703?\nAnswer: 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2*5\/(-20))\/((-1518)\/(-92)*1\/(-3))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - (7 + -3)) + -9. Suppose -5*s - m = -2*m - 23, -12 = -4*s + 4*m. Sort -14, f, -4, s in descending order.\nAnswer: s, f, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03031815 to 5 dps.\nAnswer: -0.03032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015009 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-3) + 36\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.76 - -0.76. Let j = 31.5 - 31.8. Which is the closest to 1\/2? (a) 0.5 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 44627231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -248*a + 238*a - 70 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 - -280. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1350 + 1355. Let i(p) be the second derivative of 0 + g*p - 1\/6*p**3 - 3\/2*p**2. Give i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/60 - b**4\/3 + 5*b**3\/3 - 2*b**2. Let p = 73 + -66. Let j be z(p). What is j rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*v = -493*v + 6984 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k + 5. Let j be 1 - (-6 + 2 + 4). Let p(d) = d - 1. Determine j*n(u) + 6*p(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 486*c**2 - 19617*c - 61171. Give w(-193).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -12. Suppose -2*u = 4*f - 7*u - 15, -u + 6 = f. Suppose 3*t + 5 - 6 = -4*l, -y = -f*t + 5*l. Solve 0 = t*z + j + 5, -j - j - 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 8*q - 2. Let s be p(-4). Let v(b) = b**3 - b + 1. Let c be v(0). Let l(t) = 3*t + t**2 + 0*t + c - 2*t**3 - t**2. What is l(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**5 - 9904*n**4 - 197912*n + 1 wrt n?\nAnswer: -80*n**3 - 118848*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 206\/7, 118, -31, -2\/3?\nAnswer: 206\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6973*r + 2996*r - 4314*r + 12340*r.\nAnswer: 17995*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 40*l**2 - 65*l + 39. Let y = -558 - -596. List the prime factors of q(y).\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40584316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u = -50*u + 17. Solve u*a = 11*a - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((79860\/154)\/242)\/((-2)\/70)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 175*g**2 - 205*g**2 - 2*g**4 + 6*g**4 + 5*g**4 - 2*g**4 - 2*g**4 + (-2*g**3 + 2*g - 2*g)*(-4*g + 0*g + 2*g) + 2*g**4 - 2*g**4 - g**4.\nAnswer: 8*g**4 - 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4834 (base 9) to base 3.\nAnswer: 11221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 937758327 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 7. Let b be s(-3). Let r be b\/14 + (-2)\/7. Put r, 5, -2 in descending order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (896\/42 + -21))\/(2\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -59. Suppose -p*b + 21 = -25*b. Let s be (b - -6) + 6\/2. Solve -2*u = -2*v + 8, s*v + 17 = -3*u - 0*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9706455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + 2*j - 2*j**2 + 0*j + 2*j to the form n*j**2 + s + l*j and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.16424 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-23)\/((a*a**(11\/5)*a)\/a) assuming a is positive.\nAnswer: a**(-131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*i + 12*i + 28*i + (2 + 0 - 1)*(0 + 0 - i) - 2*i + 3*i - 6*i.\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -162? (a) -12\/7 (b) 1\/3 (c) -2\/7 (d) -43 (e) -1 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - -9.05. Let w = y + -9.0000025. What is w rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6*f + 80 = 0. Let a = 42 + -22. Calculate the highest common divisor of a and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(-3 + sqrt(2448) + 5 + sqrt(2448) + 1 + 1 + -1)*5)**2.\nAnswer: 230400*sqrt(17) + 15681600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-38256)\/(-45) - (-22)\/165. Let g = j + 1196. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 smaller than 4355.89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 6*c**2 + c + 8. Let u = -14 - -8. Give t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 10*u + 20. Suppose 0*g - g + u = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t + 3. Is 2 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 - 7*c**3 - 4771*c**2 - 2086456*c wrt c?\nAnswer: -20*c**3 - 42*c - 9542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-12)\/88). Let v be (-59 - -1)*(-13 + p). Suppose 0 = -3*n + v + 175. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q. Let a(f) = q - 3 - 2*f + f. Let x(p) = p + 3. Calculate -3*a(w) - 4*x(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7513966 nanometers?\nAnswer: 0.0000000007513966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6. Let f = r + 5. Suppose 6 = 2*v - f. Solve -2*y + 3 = v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j - 4*j. Differentiate -4 + 2*o + 2 - j with respect to o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxgjxmxxmggmj. Give prob of sequence jg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/18 + (-508)\/(-24). Suppose -3*g + 2*g - 7 = 0. Let n = g + x. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/9)\/(-1) - 24\/(-12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-1 - 1*-2). Let p(d) = 17*d**2 + 1. Is p(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j**5 + 28*j**4 - 17*j**4 + 692*j - 3*j**5 - 13*j**4 + j**4 wrt j?\nAnswer: -180*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 8.7. Let v = 0.29896 + b. Round v to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (6 - 10)) + -8 - (-2 - 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.3, -2\/21, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 30. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 236110*k**2 + 3*k + 19. Let d be q(-3). What is d rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 24704406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84, 41, -34, -141?\n\"Answer: -16*y**2 + 5*y + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 761663608 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 105*t + 76*t = -48*t. Solve -14*k + 84 + 0 = t for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11493487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 4*d - 21*n, -d - 3*n - 2*n + 21 = -n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(76) - (2 + sqrt(76)))*-2 + -5)*5)**2 + -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 454 - 429. Solve -10*a + 15*a = -k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/243 and 13\/27?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {e: 1, j: 4, u: 1, k: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -20, 177552?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10735800*k + 45844.\nAnswer: 10735800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**5*f + 6*d**4 - 10*d**3*f + 384*d*f - 3*d wrt d?\nAnswer: -160*d**3*f + 72*d**2 - 60*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -1\/6*y**4 + 0 + 1\/30*y**5 - 1\/2*y**3 + 0*y + 1\/120*y**6 + y**2. Give x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -752\/211 or -28\/5?\nAnswer: -752\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -10\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1063*f - 88213. Determine z(83).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 499*a**2*q**2 - 10*a**2 - 5*a*q**2 + 450*a*q + 2*a - 14*q**2 wrt q.\nAnswer: 998*a**2 - 10*a - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2909*22\nAnswer: 63998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 564 + 185. Let r = w - 91. Find the second derivative of -4*a**5 - r*a**5 - 31*a**5 + 47*a wrt a.\nAnswer: -1020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -5.559.\nAnswer: 1.6677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 2, -3, -155, 6 in ascending order.\nAnswer: -155, -3, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -189. Let q = 78 - w. Let n(p) = p + 1. Let d(f) = -14*f - 12. Let k(u) = q*d(u) - 12*n(u). Let r(t) = 2*t**2. Give r(k(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6439.\nAnswer: 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q. Let t(f) = -24*f. Suppose -2 = l + 3*h, -4*h + 4 = -3*h. Determine l*d(o) - 3*t(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = y + 2940985, -2*y + l - 4166835 = 1715162. What is y rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7685079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0 (c) 3\/7 (d) 231 (e) -11.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-248)\/(-174902)*(-28)\/312. Is 1 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58581784.\nAnswer: 2, 41, 178603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9131347 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + n**3 + (5*n**2 - 6*n**2 + 5*n**2)*(n + 6*n - 4*n) + (0 + 3 - 5)*(-2*n**3 + 0*n**3 - n**3).\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.063 + 0.163. What is the closest to 1 in 0, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 118, 69, 18, -35, -90?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11925, -47701, -107309, -190749?\n\"Answer: -11916*l**2 - 28*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:32 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 149 = -j - 7*p, -2*j + 298 = 3*p. What is the second derivative of -19*b + 10*b**2 + 130*b**2 + 105*b - 10*b + j*b wrt b?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -2*q + 58, -4*q - 15435 = -2*z - 15495 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 times 3.6?\nAnswer: -1339.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/6 (b) 1 (c) 190 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + 3 - (1 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -92*q**4 - q**3 + q**2 - 41. Let w(y) = y**4 - y**3 + y**2 + 2. Let j(b) = -h(b) + w(b). What is the derivative of j(l) wrt l?\nAnswer: 372*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 187 and -0.79.\nAnswer: 186.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 120 = 5*j, p + 11 = -3*j - 12. Let q = p - -25. Calculate the common denominator of 1 + -2 + 77\/q and -5\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 1. Let f(g) = -75*g + 376. Let o be f(5). Let t(y) = 21*y - 6. Calculate o*t(w) - 6*x(w).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 27*p + 15 - 7)*(0 + 2*p + 0).\nAnswer: -54*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 + -200. Suppose q + 5*j = 455, -2*j + 2375 = 5*q + i*j. Does 40 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (-9 + 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*z**3 + 183*z**3 - 187*z**3 - 23*z**3.\nAnswer: 148*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - (-5)\/(20\/144)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.9 minus -1.069?\nAnswer: -10.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Let h(z) = 7*z - 4. Let l(k) = 1. Let j(m) = -h(m) - 2*l(m). What is j(d(t))?\nAnswer: -7*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2360025 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51.02 + -51. Which is the second smallest value? (a) 4 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16026541*t**2 + 16026541*t**2 + 121 - 158*t**3 - 121.\nAnswer: -158*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 5*q**2 - 2*q**2 + (-2 + 5 - 1)*(-3*q**2 + 2*q**2 + 3*q**2) + 3*q**2 + 7*q**2 + 3*q**2 - 2*q**2 - 52*q**2 + 91*q**2 + 110*q**2.\nAnswer: 161*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133505*p**3 - 285*p**2 - 44418502*p?\nAnswer: 801030*p - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - d - 1. Let m(g) = 27*g**3 + 36*g + 36. What is -108*i(a) - 3*m(a)?\nAnswer: 27*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175 - -46?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 37552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -765*i**2 - 4*i - 8. Let u be p(-2). Let h = u + 4601. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20587579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -376, -335, -224, -7, 352?\n\"Answer: 6*b**3 - b**2 + 2*b - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(((1*sqrt(500) - sqrt(500)) + 2)**2*6 + 1)*3.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - g - 4*g - 20, 3*t + 25 = -2*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -20*a**3 + 31*a**3 - 3*a**2 - 15*a**3. Let b(q) = 4*q**3 + 4*q**2. Give 3*b(j) + 4*m(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnlnccccz. What is prob of sequence nc?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(98)\/(-1*sqrt(7)))\/(-6*(1*sqrt(7) + sqrt(7) + sqrt(7))))**2 + (-5*5*(4 + 2 + sqrt(2))*-1)**2.\nAnswer: 7500*sqrt(2) + 23750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/6 + 17869*q\/6 + 8220121\/3 = 0. What is q?\nAnswer: -877, 18746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*g = -11, j - 37*g - 21 = -42*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lolllllllolllollll. What is prob of sequence lll?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 1. Let a be w(6). Suppose -2*t - n = 4, 3*t - 3*n = -a*n - 7. Which is smaller: t or 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -683 not equal to -664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/8 and 65\/802.\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k - 4473 = -2823 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -24*i. Let m(x) = -1782*x + 1. What is 5*b(k) + m(k)?\nAnswer: -1902*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 3459914880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 986769 (base 10) in base 6?\nAnswer: 33052213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3577 or -1117?\nAnswer: -1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 29*m**3 - 5*m**2 - 2*m + 39. What is the tens digit of j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1293?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g**2 + g. Let u be r(-1). Let k be ((-2)\/(-6))\/(5\/45). Suppose -o + u = q, -k*o + q + q = -16. 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 t(w) = -3*w**3 - 10*w**2 - 2*w + 14. Let h = -351 - -353. Let z(a) = 5*a**3 + 9*a**2 + 2*a - 15. Let p(k) = h*z(k) + 3*t(k). Give p(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 314016 and 40.\nAnswer: 1570080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u + 2. Let l be r(0). Let b = 4.1 + -2.1. What is the nearest to b in -0.4, -3\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 14, 5\/4.\nAnswer: -6, 5\/4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412146521 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3123313 - -12?\nAnswer: 3123330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 4\/3, -2\/131, 0.11, 2?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k - k + 13*k - 2*k to the form s*k + t and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 6. Let m(l) = -l**2 + 9*l - 3. Let i be m(8). Let z be (4\/i)\/((-18)\/(-45)). Let u be (4\/z)\/(8\/16). Calculate c(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*w + 181*w - 19*w**3.\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117048401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -112*c - 8. Is 8 a factor of d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 35*c**2 - 22*c - 76. Let n be w(-18). Let v(y) = y**3 + y**2 - 2*y + 1. What is v(n)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -92*l**3\/15 + 743218*l**2\/15 + 743494*l\/15 - 99108 = 0.\nAnswer: -2, 1, 371655\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16347780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 not equal to 263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 - -50. Let u = -88 - -26. Let k = s - u. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 + 8 - -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppoooppooppooooopoo. Give prob of picking 2 o and 2 p.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4985 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -8) + (4 - 8 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-110)\/(-1155) - 112766\/(-42)?\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -9388?\nAnswer: -1\/9388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 24. Let p be f(0). Suppose -3*n + 0 = -p. Solve 0 = 4*h - 2*i + 2, -2*i + 0*i = h + n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6045 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1755 - 10 - 504)*(4 - 4 - y**2).\nAnswer: 2269*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*b + 32 = 0, 437 = a + 3*b + 433. Solve -5*t - 22 = -4*o, 3*o - 11 = -a*t + 8*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27935, -53746, -79557, -105368, -131179?\nAnswer: -156990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39680064*a**2*p - 65896*a*p - 258*a wrt a.\nAnswer: 79360128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 37 (c) -8653\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 12*d + 8. Let z be s(-11). Let u be (z - (-164)\/48) + (-2)\/8. What is the biggest value in u, 1\/2, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 e when four letters picked without replacement from {e: 4, p: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r**2 + 353*r + 35. Let m be g(-32). Which is the nearest to 5? (a) -16 (b) 3\/7 (c) m (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/2 + (2 - (-10)\/(-5)). Suppose -z = -7*u - u. Let g(r) = -4*r**2 - r + 1. Determine g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3202 + 0?\nAnswer: -3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007 * -43595.\nAnswer: 305.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220111 (base 4) in base 2?\nAnswer: 100101000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 4. Let w be n(-2). Suppose 13*r + r = 14. Solve -w*p - r = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 573167356?\nAnswer: 573167353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*r**2 + 3*r**4 - r**4 - 2*r**3 - 111*r**2 as w*r + p*r**2 + m + v*r**3 + i*r**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2\/7 - 14921916*f\/7 + 18555298092588\/7 = 0.\nAnswer: 2486986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2769123531?\nAnswer: 3, 923041177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 355 - 57 - k)*(-1 + 3 - 1).\nAnswer: -k - 460","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 15 + -15 + 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + u + 34, -4*k + 5*u - 13 + 93 = 0. Calculate the remainder when k is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:16 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 + 0.02476797?\nAnswer: 266.02476797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/13*j**4 - 1314\/13*j - 1310\/13*j**3 - 202*j**2 + 0 = 0.\nAnswer: -1, 0, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 1 + 1)*(3*c - 2*c - 3*c)*(1 + 5 - 4) in the form z*c**2 + y*c + b and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**3 - 2*k**2 + 29*k - 155. Calculate q(6).\nAnswer: 1243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*((-m + 0*m - 7*m)*(0 + 1 + 0) - 2 + 2 - m).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3702, -7409, -11122, -14841, -18566?\nAnswer: -22297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -107.7 (b) -2\/93 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6 - 6*c + 6*c - c. Suppose -z + 10 = -3*z. Calculate a(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -3 (c) -2 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8566 - -8963. What is the smallest common multiple of j and 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -t - 18, -2*t - 2089*i + 16 = -2084*i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88934337936.88 + 2?\nAnswer: 88934337938.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5088 = 3*l. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d9 - -a4?\nAnswer: 58d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5739113599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/9 + 130*q\/9 + 44\/3 = 0 for q.\nAnswer: -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 226.23 - 225. Let z = 1988842 + -1988840.769957. Let i = z - g. What is i rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 + 550*t**2 + 14560*t - 31360 = 0. Calculate t.\nAnswer: -56, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 759 - 755. Which is the biggest value? (a) j (b) 3\/4 (c) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -287\/190598?\nAnswer: -287\/190598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 757, 2 in descending order.\nAnswer: 757, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*((sqrt(1008) + 0 + -3)**2 + -6*(1 + sqrt(1008)) - (-4 + 1*sqrt(1008) + (sqrt(1008)*-2*5)**2)).\nAnswer: 780*sqrt(7) + 498925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t - 12. Let f be p(4). Suppose -5 = l, y = -f*l + 20 + 34. Let i = y - 11. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.054 (b) -0.2 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:40 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 4*r + 9. Let x be m(4). Let z = x - -20. Is z\/((8\/262)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8 = -3. Let y = 42 + -20. Let x = y + -24. Which is the second smallest value? (a) x (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = -28. Calculate the remainder when 39 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*h - 261 = 31 + 149 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1*-2)\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/120 - h**5\/10 + h**4\/12 + h**3 - 3*h**2. Let p be w(6). What are the prime factors of ((-10)\/(-3))\/(p\/189)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -528 - -1036. Let o = a - 339. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yatactctttzuczt. Give prob of picking 1 z, 2 a, and 1 u.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13106544 divided by -5302\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229 - 193. What is the greatest common divisor of 756 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 89017042 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nknnknk. Give prob of picking 2 n and 2 k.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = -i, 4*p - 6 = i - 9. What is the second derivative of 2*w**i - 134*w**5 - 133*w**5 - 3 + 208*w**5 - 3*w wrt w?\nAnswer: -1180*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/699875 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g - 3654*g**2 + 3651*g**2 + 4 + 0 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-6 - (3 - 12))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 845355 and 21133884\/25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2868 rounded to 3 decimal places?\nAnswer: -0.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.1122 minutes to milliseconds.\nAnswer: 2586732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 14. Suppose 21*l + 12 = d*l. Suppose 222 = l*s + 5*y + 25, -5*y - 315 = -5*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: Factor 75*t**2 - 22*t**2 - 29*t**2 - 12*t - 12 - 27*t**2.\nAnswer: -3*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*t + 1455, -2*t = -4*o - 3*t + 5905. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Which is the second biggest value? (a) z (b) -2\/3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-8\/3))\/(c*(c\/c**12)\/c)*c**(-13)\/(c*c*c**(-8)) assuming c is positive.\nAnswer: c**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/399 + 811\/5187. What is the smallest value in a, -44, 0.1?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 678326259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose -2*g = 5*k - 33, -26*g + k + 39 = -24*g. Suppose -g*p = 26*p. Solve 0*s - 2*s - o = p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.422426mg in grams?\nAnswer: 0.003422426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1822951 + 0.73.\nAnswer: -1822950.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 + 0 - 26*r + 0.\nAnswer: -26*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 5. Calculate the smallest common multiple of 1 + 0 - (-4 + -5) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 2*o. Let d(k) = 2*k - 4. Let i be d(3). Let u(y) = -2*y**2 + 2*y - 1. Determine i*u(f) + 3*h(f).\nAnswer: 2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, u: 2, v: 2, t: 4}. Give prob of picking 2 u.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07 and -145073?\nAnswer: 145073.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -53*h**7\/42 + h**3\/6 - 23*h**2\/2 - 54*h. What is the second derivative of a(v) wrt v?\nAnswer: -1060*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a85 (base 15) in base 7?\nAnswer: -35414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 118*p + 1781. Let c be k(-15). Let m(d) = -d**2 + 11*d + 1. Determine m(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 346941?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/12 - 0)\/(-3). Let k = -21207\/5144 + -3\/1286. Let g = 35\/8 + k. What is the nearest to g in -0.6, a, 3\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 337*s + 9. Let n be p(-1). Let l = 335 + n. Solve 1 = -5*y + f - 10, -5*y - 3*f = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/60 and 97\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + x + 29. Let z(s) = 10*s**2 - s - 59. Let r(v) = -9*a(v) - 4*z(v). What is the units digit of r(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.67 + -1.67. What is the closest to s in 0.03, 1.3, 3\/8?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65003092 divided by 4\nAnswer: 16250773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6286, 11796, 17320, 22864, 28434, 34036, 39676?\nAnswer: 45360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 12.9. Which is smaller: c or 4\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, 1, 554, -42.\nAnswer: -42, 1, 170, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -8bc2c9?\nAnswer: -8bc2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2540436507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 0.3 (c) 0.4 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 46 + 2. Let s(t) = -11 + 37 - g + 11 - 322*t. Is s(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 932346.2 millennia?\nAnswer: 11188154400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2324 by 282.\nAnswer: 1162\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-5))\/r**3)\/(r**(2\/5)\/r*r**5\/r) assuming r is positive.\nAnswer: r**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49951 is divided by 1850.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 89 + -93 + (13 - (23 + 2)) + -17?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/12 - 2*f**3\/3 + f. Let z be (-162)\/(-108) - ((-18)\/(-45))\/(4\/(-25)). Determine c(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**3 - 5*t**3 + 11*t**3 - 3*t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5279 + 5507. Calculate the least common multiple of 494 and v.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/6831)\/((-8)\/72).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276 by 38.\nAnswer: -138\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 7*o**2 - 2*o + 17. What is the tens digit of l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 1530?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 1 + 5 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - 14.9. Let f = -7 - j. What is the smallest value in f, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbjm. What is prob of picking 4 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-192)\/(-12))\/(-16))\/((-1)\/374*-11).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 8*x**2 - 9*x. Let b be y(-9). Suppose 10 = 2*d - b. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339*f - 2078*f + 1744*f - 57*f - 2429*f to the form q + k*f and give k.\nAnswer: -3159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1811c6a (base 14) to base 5\nAnswer: 11020010414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12401138\/245 - 50617. What is the common denominator of w and 4?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 4 - 2 - (1 - (2 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10978570 and 20090.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) -2\/11 (d) -2\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13794 by 48.\nAnswer: -2299\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*r + 769437 - 197887. List the prime factors of r.\nAnswer: 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 19 = 3*b, -4*b + 46 = -3*t + 16. Is 6 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-1 + -19) - (-5 + 2). Suppose 356 = 4*h - 4*j, -h = -5*h - 3*j + 356. Let d = h - a. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 161325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*i + 90*i + 99*i - 19*i**2.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2668.752 years to months.\nAnswer: 32025.024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v - 37*v = 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39628*z + 206 - 5*z**3 + 13*z**2 - 39628*z.\nAnswer: -5*z**3 + 13*z**2 + 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(80) - sqrt(80)*-2*-2) - (4 + (sqrt(50)\/((sqrt(10) - 2*sqrt(10))*-4))**2).\nAnswer: -12*sqrt(5) - 69\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395448 is divided by 197708.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162887673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11067 times -430.5\nAnswer: 4764343.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbrrpxvs. Give prob of sequence xrpv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5*2.32\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, and 2 f when four letters picked without replacement from {f: 4, k: 1, n: 1, q: 2, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/15)*f\/((f**(1\/7)\/f)\/f)*(f**(1\/3))**(12\/11) assuming f is positive.\nAnswer: f**(4721\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -12 + 4 + 4 + -3 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 - 23 = -5*z + 2*s, z - 5*s = 58. Suppose -v - 10 = -4*p + 6, -4*p - 4*v = 4. Suppose w + 2*w - z = 3*a, -61 = -p*w + 4*a. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/7 and 1 - (-3 - 60\/32)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*g = 1797*g - 10636 - 30964 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12801587 and 0.05.\nAnswer: 640079.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 2*i - 5*i)*(-35*i**3 + 24*i**3 + 30*i**3).\nAnswer: -57*i**4 + 57*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/6*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 7:45 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8762065 and 1793?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 176447001, 352894001, 529341001, 705788001?\n\"Answer: 176447000*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3120307 or 3120265?\nAnswer: 3120265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8995?\nAnswer: 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.8969 + 4.9. What is s rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 90783 = 4*d. Suppose -b = -3*q + 135002, d = 4*q - b - 149741. What is q rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 6:32 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n**2 - 12*n**2 - 5*n**2 + 17*n**2. Let m(f) be the first derivative of 0*f**2 + 1\/3*f**3 + 0*f - 8. Determine m(t(s)).\nAnswer: 100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**3 + 11*u**2 + 9*u + 5. Suppose -5*b + 3 = -37. Let s(t) = -11*t**3 - 5 - 6*t**2 - 11*t**2 - 3 - 14*t. Let p(f) = b*y(f) + 5*s(f). Factor p(h).\nAnswer: h*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -258 - -250. Let b be (3\/39)\/((-18)\/a - 2). Factor 0 - b*v - 2\/13*v**2.\nAnswer: -2*v*(v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/3 + 11*g**2\/2 - 14*g - 2. Let t be r(-12). Does 14 divide (-1)\/((-58)\/28 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 26*n**6\/3 - n**5\/10 - n**4\/6 + 1941*n**2\/2 + 2625*n. Differentiate q(b) wrt b.\nAnswer: 1040*b**3 - 6*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d**2 + 5*d**2 - 5*d**2)*(d - d + 3*d) + (d + 0*d - 3*d)*(d**2 - 13*d**2 + 6*d**2) to y*d**3 + i*d + x + f*d**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.6? (a) 2\/43 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:11 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7 + (4400\/(-70))\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 3*r**2 - 3*r**2. Suppose -16 = -4*f - f - 4*m, -f - 5*m = 1. Let i(k) = -f*k + k + k. Calculate j(i(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*i + 3026303 - 3012723 for i.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180073776, -180073774, -180073772, -180073770, -180073768, -180073766?\nAnswer: -180073764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341 is divided by (2 + 12\/(-5))*(-19 - -17)*335.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(48\/10)\/(-1). Let x = 28 - a. Suppose -p - 15 = -2*r, p + x*p + 61 = 3*r. Which is greater: p or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 767*d - 23075. Give c(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 2*p**3\/3 + 380*p**2 + 72200*p - 1066. Factor t(a).\nAnswer: 2*(a + 190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 6*t**2 + 0*t**2)*(t - 3*t + 0*t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from 57.\nAnswer: 56.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - t + 745, 739 = -3*h + 7*h - 5*t. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 47*p**2 + 107*p - 1. Let l be f(-2). Which is the biggest value? (a) 8 (b) -23 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1080516 kilograms?\nAnswer: 108051600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - c**2 - 8 - c + c**2. Let b = -10 + 16. Is j(b) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2255 (base 6) to base 16\nAnswer: -21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 75*o**8\/7 - 46*o**4\/3 - o - 36. What is the third derivative of n(j) wrt j?\nAnswer: 72000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b - 3. Let u = -11 + 10. Let w be d(u). Suppose 5*m - 2*p = 1899, w*m - 4*p = 8*m - 1887. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 9) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/13 + 70*n\/13 + 588\/13.\nAnswer: -2*(n - 42)*(n + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.0279 + -2.1279. What is the second biggest value in -0.3, -0.4, p, -2\/93?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/6)\/((-1)\/22). Let q = -3 + l. Suppose 4*s - 112 = 2*m, -s + 29 = 5*m + 1. Calculate the remainder when s is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 4 (b) -13 (c) -2 (d) -0.5 (e) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a = 168*a + 2601 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 373\/540338 or 1?\nAnswer: 373\/540338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from wrdwdxdxxxwxd?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 6, k: 2, j: 6, u: 1}. What is prob of picking 1 b and 1 k?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-297)\/(-44))\/((3\/(-26))\/(-1)). Let n = -58 + o. Which is the nearest to -1\/2? (a) -0.3 (b) n (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = t - 16, 38 = 4*d - 3*t. Let c be 51600\/(-7)*((-164)\/d - -3). What is c rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*k + m - 16, -2*m - 10 = 2*k. Find the common denominator of -23\/6 and k*142\/15 - -4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u\/(u\/(u\/((((u**23*u)\/u)\/u*u)\/u)*u)))\/u))\/u**(-9\/10) assuming u is positive.\nAnswer: u**(219\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-1134)*99*(-12)\/(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19737 and 1411.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17701, 31598, 45495, 59392, 73289, 87186?\n\"Answer: 13897*f + 3804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 273*w - 816. What is f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*h*z**2 - 2*h*z + 35765*h + 5*z**2 - 45*z wrt z?\nAnswer: -36*h*z - 2*h + 10*z - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnznnnvvvnqqnnnzn. What is prob of sequence nqv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 31*b**2 - 81*b**2 - 23 + 13.\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 409164 and -2979133.1.\nAnswer: -2569969.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*s + 5014, 6*s = -5*l + 3*s + 25126. Let y(r) = -3 - 7*r**2 - r**3 + r**2 - 5023*r + l*r. Give y(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33070, 33094, 33130, 33178?\n\"Answer: 6*k**2 + 6*k + 33058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 607, 572, 513, 418, 275, 72, -203?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 6)\/(-2)*9. Let a(y) = 2*y. Let g be a(2). Let b be -2 + 3 + g\/2. What is the highest common divisor of b and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - 72*q**2 + 81*q - 349. What is l(23)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t + 6*t - 3*t)*(0 - 2*t**2 + 0).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/128 and 59\/197497472.\nAnswer: 197497472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4053 is divided by 1319.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211 + -251250043?\nAnswer: -251245432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 62307?\nAnswer: 62307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11992 divided by 5996?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 282360 + 1*143\/13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d**2 - 5*d**2 - 27*d**2)*((6 - 2 - 3)*(-7*d**3 - 5*d**3 + 0*d**3) + (-21*d + 21*d - 7*d**3)*(-2 - 4 + 5)).\nAnswer: 215*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-20)\/48)\/(90\/1680) and 133\/850.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -516 - -878. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 9) to base 13\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.09 (b) 1\/3125 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*u - 3)*((-2 + 5 - 4)*(-3 + 4 + 0) + 0 + 1 - 2).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q. Suppose -2*z - 2*z + 16 = 0. Let a be (1 - -5)\/(12\/8). Let v(l) = -13*l - a + 4. Calculate z*v(b) - 9*o(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3980 is divided by 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 27 = 16*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864384 to the power of 1\/2, to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1444 and 4047?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqxqqnvnenxvneeqevq. Give prob of sequence vqn.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 7*d - 3. Let w be c(-6). Let h be (22 + 4)*w\/(-6). Let v(t) = -t**2 - 16*t + 18. Is v(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2797907 to the power of 1\/2, to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 316, 628, 940, 1252, 1564?\n\"Answer: 312*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (185\/(-148))\/(10\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20053074, -20053062, -20053050, -20053038?\nAnswer: -20053026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:18 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1525609*f**3 - 212431*f**2 - 7*f?\nAnswer: -9153654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3. Let f = -5 - -9. What is the closest to 1\/2 in c, -4, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/20 - (-7)\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -208*l - 17. What is the units digit of v(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10335 and 585?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 8259*u - 309690.\nAnswer: 3*(u - 37)*(u + 2790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 0.113826326226.\nAnswer: -4.886173673774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22606 >= -4577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d - 25 = 0. Let p = 6 + -6. Suppose -4*x + 2*t + 34 = 0, 4*x = -p*t - t + 31. Calculate the remainder when x is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395127.2km to meters.\nAnswer: 395127200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1695, -3385, -5073, -6759, -8443, -10125, -11805?\nAnswer: -13483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12564 and 60?\nAnswer: 62820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 653310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -3*k**4\/20 - 7*k**3\/15 - k**2\/5 - 3. What is x in c(x) = 0?\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 11 = -s + 4*s, 4*s = 3*d. Let k(m) = -m. Let t(q) = q**3. What is d*t(o) + k(o)?\nAnswer: -4*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60426, 120873, 181340, 241827, 302334, 362861, 423408?\nAnswer: 483975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.004 + 0.137.\nAnswer: 0.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2845335 divided by 3.\nAnswer: -948445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9*t = 4*t - 794, 396 = 2*p - 2*t. Suppose -p + 21 = -5*r - 5*x, 4*x = r - 45. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 60.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 34 = 5*s, 4*s + 5*p = 6*s + 8. What is the remainder when 22 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1945.7584 to the nearest 10.\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -82*p + 228. Let w(t) = -161*t + 456. Let y(k) = 9*v(k) - 4*w(k). Find the first derivative of y(b) wrt b.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 12*r**3 - 22*r**2 + 84*r - 49.\nAnswer: -(r - 1)**2*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 3.602.\nAnswer: -1.4408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.5 (b) -4\/3 (c) 40 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(4)*-2)\/(sqrt(10)\/sqrt(2)*-6).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2. Let j(c) be the third derivative of 2 + 0*c - 7\/3*c**4 + 0*c**3 - 27*c**2. Determine x(j(h)).\nAnswer: -9408*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 26. Suppose 0 = 5*k + 15, -3*f = -k - 29 - 4. Suppose f*o - 5*o = 15. What is the remainder when w(6) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 4*sqrt(133))*5)\/(-5*sqrt(112)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11423\/2988 - 13\/747. What is the common denominator of (79\/(-16))\/((-1)\/(-2)) and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 2*r**2 - 2*r**2)*(5*r**3 - 29*r**2 + 32*r**2 + r**3) + (3*r**3 + 2*r**3 - 4*r**3)*(-2 - 7 + 6*r**2 + 8).\nAnswer: 18*r**5 + 6*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.3 - 0.184.\nAnswer: 26.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let a(x) be the first derivative of 7*x**3\/3 - 3. What is m(a(n))?\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42640 times 0.27?\nAnswer: 11512.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -9, 17, -1.0058 in descending order.\nAnswer: 17, 3\/7, -1.0058, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -23 - 7. Let x be t*(3 + (-66)\/9). Suppose 8*l + x = 10*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 7*g - 60. What is the units digit of 4*(3 - (-33)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5476.2225 + 0.0174?\nAnswer: 5476.2399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {m: 1, n: 1, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*k + 18. Let x be 1*(-3)\/(-6)*k\/3. Put x, -7, 0.3 in ascending order.\nAnswer: -7, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4052a5 (base 11) in base 12?\nAnswer: -274a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d - d**2 + 6*d**3 + 3*d - 8*d**2 + 9*d**4 - 3*d.\nAnswer: 3*d*(d - 1)*(d + 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 3 + 8 - 14*l to h*l + r and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67307 and 0.06?\nAnswer: 4038.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 805, 2988, 7241, 14254?\nAnswer: 24717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/60 and 83\/2928?\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p + 91. Let g be w(-13). Let s be ((-1)\/125)\/((-34)\/255). Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2.1 (c) -5 (d) -4 (e) -2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l + 1. Suppose -4*o + 112 = -3*m - 0*m, -3*o + 67 = 2*m. Let j(s) = -50 + 2*s**2 + o - s**2 - 2*s. Let n be j(6). Determine w(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-five thirds of a hour?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 59*n**2 - 380*n - 129. What is the remainder when v(-22) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36108899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 + 38*j + 354. Does 15 divide s(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 + -10. Let i = q + 223.21. What is the third biggest value in 1, i, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, b: 5, e: 2, s: 7}. What is prob of sequence es?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 28*l**2 + 16*l + 38. What is the remainder when 871 is divided by k(-3)?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -345 - 659. What are the prime factors of v?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.03942.\nAnswer: -0.015768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-49)*(-1995)\/(-1140).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -250431.5 and -0.15?\nAnswer: 37564.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125.7 - 126. What is the nearest to 0.1 in t, 0.0075, -3\/5?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5593927 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-383)\/8)\/((-97)\/776) is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7168 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 41*t + 1. What are the prime factors of k(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -54*d + 221. Determine p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10325078 is divided by 143.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/15*(-1 - (-9)\/24). Let l = -0.0561 - 0.6439. Which is the fourth biggest value? (a) l (b) j (c) 0.1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 5*m**2 - 3*m + 3. Let z be n(-5). Suppose j = 2*j - 3*s - 39, 2*j - 5*s - 73 = 0. Calculate the greatest common factor of z and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -26. Suppose b - 5456 = -8*x + q*x, -x = 3*b - 1832. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3068 and -59?\nAnswer: 181012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, 41 in increasing order.\nAnswer: -3, -1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 126\/(-210) - (-86)\/110. Which is the third smallest value? (a) v (b) 0 (c) 0.16 (d) 5\/2 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -17 + 12 + 4 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 4 = 2*h, 8 = h + 3*y. Let n(z) = z - 10. Let q(f) = 3. Let t(b) = -7. Let v(g) = -5*q(g) - 2*t(g). Let i(a) = h*v(a) + n(a). Calculate i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2521 - 5048 + 2527 + 36*i as f + r*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((0 - 0) + 2). Suppose 4*o = -w*o - 20. Put -4, o, -2 in increasing order.\nAnswer: o, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311055 (base 6) to base 7.\nAnswer: 132344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 - y**3\/6 + y**2\/2 + 18*y - 10. Calculate s(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 7:54 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c - 4 = 0. Suppose -c*x + x = -2. Calculate the lowest common multiple of 10 and 13 - x*(-1)\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:38 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*w - 27 = -w, 2*v - 3*w = 13. What is the smallest common multiple of 2 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/((-2)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 317\/24 - 65\/6. Let o = -8827\/4 + 2227. Find the common denominator of i and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3\/5 - 168*p**2 - 812834*p\/5 + 9871512\/5 = 0.\nAnswer: -469, 12, 877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170124 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -33*v**2 + 0*v**3 + 0*v + 1\/6*v**4 - 1\/15*v**5 + 1\/120*v**6 + 0. Let g(w) = w**2 - w. Give 9*g(p) + 2*q(p).\nAnswer: 2*p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3168) + sqrt(3168)*-2)*-4)\/(-5*sqrt(44)*1))**2*-4.\nAnswer: -4608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**4 - 453*f**3 + 30*f**2 - 151981*f wrt f?\nAnswer: -12*f**2 - 2718*f + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w + 21. Suppose 3 = 4*l + w. Let n be 0 + l\/((-1)\/3). Solve n*a = 3*c + 1 - 4, -3*a - 4*c - 24 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3 + 0 - 4)*(-2917 + 323*s**2 + 2917).\nAnswer: -323*s**3 - 323*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 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: Suppose b + 7 = 13. Determine l so that -3 - 3\/2*l**3 - 15\/2*l - b*l**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89694, -89618, -89420, -89040, -88418, -87494, -86208, -84500?\n\"Answer: 10*v**3 + v**2 + 3*v - 89708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28*57\/((-12)\/(-4)). Suppose n - 22 = -r + 229, 2*r = 4*n + s. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19089 + -19084. Solve 5*c + 23 = -v, -2 = w*c + 23 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 4576?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 571494 and 159621.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 11:22 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 794437 and 157423.\nAnswer: 3661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -19 + 51. What is the greatest common divisor of x and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/300*-1*(-4)\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - a - 18 = 0, 2*b - 18 = 4*b + 2*a. Let m = 13 + b. Suppose 1816 = -m*n + 4788. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*(87\/261)\/((-6)\/4) - -4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44212413320 - -1?\nAnswer: 44212413321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 462 (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12270833, 24541668, 36812503?\nAnswer: 49083338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 140*s. Let v(y) = 5*y**2 + 44422 - 44422. What is v(p(t))?\nAnswer: 98000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 4*d**3 - 3*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (sqrt(605) - (sqrt(605) - (-1*(1 + sqrt(605) - sqrt(605)))**2))) + 0 - (1 + ((sqrt(10)\/sqrt(2)*2)**2 - (0 + sqrt(320))))) + 1.\nAnswer: -21 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/80370 and -27\/17860.\nAnswer: 160740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 58. Let h = -11 - u. Suppose 0 = 4*m - 5*m + 6. What is the greatest common divisor of m and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(8\/3))**(3\/10)\/(q**(3\/19)*q**(2\/27)) assuming q is positive.\nAnswer: q**(1457\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(36)\/sqrt(432)*-4 - ((sqrt(72)*-2)\/sqrt(4))\/(-1*sqrt(6)*1)) + -4)**2.\nAnswer: -32*sqrt(3)\/3 + 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -981.3*20\nAnswer: -19626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/44 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (6 + -4 + -6) - (-22 - -16).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72, 84, 96, 108?\n\"Answer: 12*f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 3.7?\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:09 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 0*d)*(d**3 + 0*d**3 - 3*d**3)*(-58*d - 14*d - 9 + 82*d).\nAnswer: -40*d**5 + 36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3. Let m(f) = f**3 + f + 16. Let b be m(n). Let p be -1*(3 + b\/(-2)). Sort p, 1, -5.\nAnswer: -5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -2*l + 86 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160147 - -32829951\/205. Let k = -4\/41 - a. Factor 4\/5*m**2 - 24\/5 - k*m.\nAnswer: 4*(m - 3)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/3051 and 131\/2034?\nAnswer: 6102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 6*q + 7*q + 56 + 502.\nAnswer: 5*q + 558","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/7))**(-29)*(h**(-1)*h)**28)**(5\/3))**(20\/7) assuming h is positive.\nAnswer: h**(-14500\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.9522 from 1009.9.\nAnswer: 1015.8522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 307520 and 4495.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 68. Suppose o + j*t + 7 = 0, -2*o + t - 16 = -23. Calculate the remainder when 3 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 8:52 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5242310 and 3145386.\nAnswer: 15726930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41 + -72b6?\nAnswer: -7337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37786 and 7616?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-5)*(-17)\/(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2925072 and -127\/5184.\nAnswer: 11700288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, q: 6}. Give prob of sequence qaqq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 1669*y**8\/56 + 403*y**4\/12 + 553*y. Find the third derivative of z(k) wrt k.\nAnswer: 200280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425223 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 45. Let a(h) = 34*h - 28. What is the hundreds digit of a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 792?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 9*d = 48 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16525 and -0.0255.\nAnswer: 421.3875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*r + 7 = -7, 2*r - 14 = -4*w. Put w, -2, 4 in increasing order.\nAnswer: -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 + 1129\/8. Let s(b) be the third derivative of 0 - 4*b**2 - 1\/3*b**3 + 0*b - m*b**4. Differentiate s(t) wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.344 and -5?\nAnswer: 11.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184*q**2 + 2*q**3 - 2*q**4 + 184*q**2 + (3*q - 3*q + 4*q)*(q**3 - 4*q**2 + 4*q**2) to the form w + d*q + m*q**3 + t*q**4 + u*q**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*m = 106*m + 28 + 50 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82070463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from kkknkkknkkkknkkkkknk?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 17 + 12*j + 9)*(-1 + 1 + j**3).\nAnswer: 12*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/33475 and 7\/760552.\nAnswer: 19013800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44643408 by -8.\nAnswer: 5580426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1633958138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 32*j**3 + 11*j**2 + 23*j + 11. Let y(s) = 11*s**3 + 4*s**2 + 8*s + 4. Let o(h) = -4*a(h) + 11*y(h). What is the second derivative of o(f) wrt f?\nAnswer: -42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 16*g**2 - 23*g + 33. Let v be k(9). Let z be (-2)\/(-7) + (-25)\/(1050\/v). Which is the closest to -2? (a) 3\/7 (b) z (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**3 + 3*r**3 - 4*r**3 + (-42*r - 204*r - 457*r - 12*r)*(10 + 3*r**2 - 10).\nAnswer: -2138*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -3*c**5\/20 - c**4 - 2*c**3 + 2*c + 61. Let f(k) = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z - 91 = 49 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-952)\/(-3922) - 26\/481. Is 0.2 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 120.8, -4 in increasing order.\nAnswer: -4, 1\/5, 120.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/(((t\/(t*t\/(t*t*t**7*t*t)))\/t)\/t))**(-1\/76) assuming t is positive.\nAnswer: t**(3\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(1470)*2)\/(sqrt(810)*2 + sqrt(100)\/sqrt(10)*-5).\nAnswer: 42*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314202 is divided by 34501.\nAnswer: 3693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 15. Let n(d) = 93*d + 58. What is -4*f(z) - n(z)?\nAnswer: -89*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14938441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 200 = -6*i. Let a = i - 28. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/26 + 201\/39. Suppose 4*b + 4*v = 4, g*v + 3 = -2*b - 4. Solve 3*u + 3*t + b - 1 = 0, u + 1 = 2*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 124782869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + -208 + 47 - -30.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1) + (4 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 39*a. Let c(v) be the second derivative of -v**4\/4 + 3*v + 69. Give c(i(g)).\nAnswer: -3*g**4 + 234*g**3 - 4563*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*q + 6, 0 + 11 = 2*q - 3*l. Suppose -3*t + 5*g = 4*g - 15, 3*t = 5*g + 15. Sort q, 4, t.\nAnswer: q, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 45*w**2 + 86*w - 108. Determine b(43).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -0.48\nAnswer: -0.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + 3. Calculate the remainder when 129 is divided by z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 13106 = 5*y, -5*y - 181*h + 176*h + 13130 = 0. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + t**2 - 6*t**2)*(-4*t + 2*t + t) + 2*t**3 + t**3 + 0*t**3 + (-6*t**2 + 3*t**2 + 2*t**2)*(3*t - 5*t + 4*t) + 2*t**2 - 2*t**3 - 2*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-233100)\/(-34965)*(-48)\/10\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a34 + 2c6?\nAnswer: -74c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-977769)\/(-53430))\/(3\/(-10)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 222 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.83 + 0.27. Let u = b + -1.96. Let a = u + 4.86. Sort -2\/5, 4, a in ascending order.\nAnswer: -2\/5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 426\/164665?\nAnswer: 426\/164665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*b**2 - 163814*b - 430895?\nAnswer: -10*b - 163814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.157272 rounded to 2 decimal places?\nAnswer: 9.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4\/3, -0.2, 14, -13 in decreasing order.\nAnswer: 14, -0.2, -1, -4\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-21))\/(42*(-46)\/(-14490)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 6*q = -12. Let l(v) be the first derivative of v**2 + 2\/5*v**5 - 2 + 1\/3*v**6 - 4\/3*v**3 + 2*v - v**q. Factor l(c).\nAnswer: 2*(c - 1)**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**4 - 11*t**3 + 182*t**2 + 9716*t wrt t.\nAnswer: 36*t**2 - 66*t + 364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-127)\/(-6))\/(1\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*o**3 - 8*o**3 + 79*o**3.\nAnswer: 153*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1119, -1118, -1117, -1116, -1115, -1114?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1823 = 10*i - 1987. What is the lowest common multiple of i and 5?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 109*q - 2. Let j(a) = -54*a. Let t(z) = 2*j(z) + v(z). Let f(u) = -u + 8. Let g be f(-6). Let h be t(g). Is h equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19076*o + 1023168 + 288344 + 1000016 = -1380*o for o.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/((a*(a\/((a\/(a\/a**(-2\/27))*a)\/a))\/a*a)\/a))\/a*a*a))\/(a\/a**(2\/3)))\/(a**(2\/13)*a\/a**(-3)*a*a) assuming a is positive.\nAnswer: a**(-2251\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 319 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/180 - 7*t**4\/24 - 489*t**2. Factor l(b).\nAnswer: -b*(b + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f - 13*f + f - 2*f**2 - 8*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187)*-1 - sqrt(187)) + sqrt(187))*5 + (sqrt(187) - (sqrt(187) + sqrt(187) + 1*1*sqrt(187) + sqrt(187))))\/(4*sqrt(176) + sqrt(1584)*2).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2\/25 (b) 8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1806\nAnswer: 3612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.503 - -0.1.\nAnswer: 12.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93865414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 13 + 2. Suppose 0 = 5*w - k*w - 38. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 176383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 456085.0459 + -456064. Let d = 0.0459 - f. Let m = -360\/1211 - -2\/173. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvvyvvyovnvqyn. Give prob of sequence vy.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(10\/(-25)))\/((-80)\/192).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t + 20, r + 3*t = -12. Suppose -2*b = r*b - 20. Which is bigger: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c - 3*q + 9, -4*q - 38 = 3*c. Let f = c + 4. What are the prime factors of (-23)\/(-5) + f\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) + 2*sqrt(77)))*-5)\/(-4*sqrt(22)\/sqrt(2)) + 5 + 5*-3*(sqrt(700) - ((3 + 1 + sqrt(700))**2 - sqrt(700))).\nAnswer: 3609*sqrt(7)\/4 + 10745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2014 - 1335. Suppose 11*n + 250 = m. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/(v*v*(v**(-9)\/v)\/v))**(-47) assuming v is positive.\nAnswer: v**(-846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -0.2. Let t = -6.9 + j. Let r = -2 - t. What is the third smallest value in 2\/11, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 6) in base 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527789 is divided by 527763.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 511394, 511388, 511382?\n\"Answer: -6*s + 511400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/7 - 164*n**4\/7 + 2264*n**3\/7 + 20036*n**2\/7 - 3162*n = 0. What is n?\nAnswer: -93, -7, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/30)\/(173\/13840)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 38ab (base 15) to base 11\nAnswer: 9098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7178 smaller than 7020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*v + (0 + 1 - 3)*(0*v + 3*v - 5*v) - 4*v + 4*v + v + (2*v + 0 + 0)*(-4 + 3 - 2) + 3362 - 1709*v - 3362.\nAnswer: -1708*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 906*p - 459*p - 463*p. Let y(t) = -36*t**2. What is w(y(g))?\nAnswer: 576*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322 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: Suppose -b + 3*a = 2*b - 264, -4*b - 2*a = -328. What is the remainder when b is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229907662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89745 minus -117257643?\nAnswer: 117257643.89745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 432 - 436. Let m be (y\/(-6))\/((-2)\/(-30)). Let n be (-1)\/(-3) + 3\/(-9). Solve 5*f - m = -n*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 5, -1\/233, -5, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.344 + -33.282. Let j = -29 - t. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 37*a - 2276. What is f(56)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8573503.\nAnswer: 19, 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12)*t**4\/t*t)\/(t**10\/((t**(1\/4)\/t)\/t)) assuming t is positive.\nAnswer: t**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73624183?\nAnswer: 19, 3874957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 21*s - 125 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4177 and -81997?\nAnswer: 77820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-1)\/3*3) - 5. Let p be 5\/(-10) + (-38)\/a. Suppose 4*n + 16 - 60 = 0. Solve -p = -4*g + n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*q = -1501 + 2062 + 1859 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16243 (base 12) to base 6\nAnswer: -401323","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -815, -2959, -8821, -20261, -39139?\n\"Answer: -310*r**3 + r**2 + 23*r - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.995 and -8.8.\nAnswer: -8.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 5*j + 0*j - 13*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/2 + (-6)\/(-12). Let o be w\/15*(-20)\/(-6). Solve o*t + t = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 553*-1.0015\nAnswer: -553.8295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/12 - c**3\/2 - c**2 - 2*c. Let r(o) = -4*o. Let v be r(-1). Suppose -v = 3*q - 19. Calculate b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 5*w + 27. Let g be k(-8). Let x be (900\/g)\/5*(-3)\/(-4). What is the common denominator of -65\/16 and ((-75)\/(-8))\/(x\/10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.082, -0.2 in increasing order.\nAnswer: -0.2, -0.082, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 + 50*t**3 + 2976*t**2 - 39384*t + 120960 = 0.\nAnswer: -35, 6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/424)\/((-8)\/8960*4).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2049 - 2044. Solve 0 = 3*r + p*g + 4, 2*r + g = -g - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 60493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 4*a + 8*a + 2054*a**2 - 16*a.\nAnswer: 2054*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184265275.927886 - -184265574. Let l = t + -143.07153. Let g = l - 155. What is g rounded to 5 dps?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(-1\/5)))**(1\/3)*(w**(-6)\/w)\/w*(w*w**(3\/5)*w)\/w assuming w is positive.\nAnswer: w**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 21*j**2 - 22*j + 1. Let s be l(-22). Let n = -1 - -1. Let w be (0 - 0)\/(s + n). Sort w, 5, 2 in decreasing order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 4*a - 30, 10*a = -5*v + 7*a + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4 - 823*u**3 - 15273*u**2 + 113751*u - 181656 = 0 for u.\nAnswer: -24, 3, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 36\/(-14))\/(-2). Let a = 4.89 + 0.11. Let d = -634 - -631. What is the nearest to d in 2, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*t - 252, 7*x - 9*x + 3*t + 249 = 0. Suppose -126*r = -x*r + 24. Put -5, -6, r, 5 in ascending order.\nAnswer: -6, -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00583203 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t + 13 + 6*t**2 - 9 - 11. Suppose 2*n + 9 + 12 = -3*l, 0 = -4*l - 3*n - 29. Let p(m) = 3*m**2 + 3*m - 4. What is l*p(j) + 3*i(j)?\nAnswer: 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*t**4 - 8\/7*t**3 - 6\/7*t**2 + 0*t.\nAnswer: -2*t**2*(t + 1)*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4185 and 6351435.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 5:43 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4128 - -565. List the prime factors of p.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + -1 - (-9 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2423 - -3?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 392 + -392. Let s(l) = l**3 - l**2 + l - 3. What is s(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 8 = 19*d - 4*p, 0 = -4*d + 5*p - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, -4 in decreasing order.\nAnswer: 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = h - 920, 3*d + 3*h = h + 545. Calculate the common denominator of 2\/9 + d\/(-144) and 37\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 211302 and 10836?\nAnswer: 422604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -322 - -176. Let i = z + 200. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/8)\/(9\/(-5532)) - -3. Is 925 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 24113001?\nAnswer: 24113013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37202, -148755, -334676, -594965?\nAnswer: -929622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -6. Let c(h) = 118 - 230 + r + 2*h. Let d(i) = 4*i - i - 2*i. Determine c(d(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-675)\/(-12) + (-24)\/(-32). Let x = y + -225\/4. Which is the closest to x? (a) 1 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-516)\/86 - 20\/(-3). Sort q, -0.006, 1\/4, -4 in decreasing order.\nAnswer: q, 1\/4, -0.006, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/3 - 2*c**3\/3 + 88*c**2\/3 - 64*c.\nAnswer: -2*c*(c - 4)*(c - 3)*(c + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 4:43 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5908068015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 8:36 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.85945 meters in micrometers?\nAnswer: 92859450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = q - 3*p, 6*q - 3*p + 12 = -5*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/15 + ((-59584)\/(-210))\/28. Solve 3*n - v = 17, -5*v - 7 = 2*n + w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268b1 (base 13) to base 2\nAnswer: 10001100001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.44 + -0.14. What is the second smallest value in 2\/5, -6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -c + 52. List the prime factors of c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248\/93*(-1260)\/(-896)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17848 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4269476555 + 40.\nAnswer: 38.5730523445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/24 and 41\/66 + (-6)\/12?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 11:45 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 4*r + 3. Suppose 12 = -3*z + 5*z. Does 5 divide l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vppvppppvpppvvpppvp.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1454963556*b - 2909927094*b + 1454963549*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -4308\/7, 1, -3, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50158562261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-44)\/12)\/((-2)\/(-12)). Let r = 46 + o. Calculate the highest common divisor of 36 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 3*k - 2*k)*(4105 - 141 + 2006)*(-2*k**2 + 0*k**2 + 0*k**2) + (3*k - 3*k + k**3)*(5 - 4 - 2) + 3*k**3 - 2*k**3 + k**3.\nAnswer: 11941*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/6*(-3)\/(-3 - -4). Suppose 2*j + 4*w + 10 = 0, -2*w + k*w = 5*j + 14. Let q(u) = 6*u**2 + 4*u + 1. Determine q(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1767\/5, 0.1, 1182?\nAnswer: -1767\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.2. Let i = 28.8 - 28.8. Let v be (2\/32)\/(3\/(-6)). What is the second biggest value in v, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 11. Suppose 0 = -65*b + 39*b + 78. Solve 0 = f*a - b + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evzo when four letters picked without replacement from {o: 1, v: 8, r: 4, e: 1, z: 6}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 263590 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17550*r**4*z**2 - 3*r**3*z**3 - 3911*r*z**3 + 25*r*z wrt r.\nAnswer: 210600*r**2*z**2 - 18*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -479 (c) 4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109243549 or -109243544?\nAnswer: -109243549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*z**3 - 45*z**2 + 7808?\nAnswer: 18*z**2 - 90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -30*l**2 - 600*l + 24004. Calculate r(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629304 = -22*r + 682138. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-12))\/(2\/(-3)). Suppose 4 - m = o. Suppose o*y = 3*y. Is y < 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027058823 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59218 (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 3*m**2 + 2. Suppose -2*d - 5*s = -d + 11, 0 = 3*s + 12. What is the least common multiple of x(-3) and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/48)\/(3\/6*(-2)\/4). Which is the closest to f? (a) -0.2 (b) -1 (c) -2 (d) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (5 - -2) + -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52510949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -97, 5, -0.2 in decreasing order.\nAnswer: 5, -0.2, -3\/2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629528 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/3 - 3486*r**2 + 1799525*r\/3 = 0.\nAnswer: 0, 175, 10283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b = -192*b. Solve b = 5*i, -4*v + 8*v - 4*i + 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - 2*f**4 + 4*f**4 + (2 - 3 + 2)*(2*f**4 + 0*f**4 + 0*f**4) - f**4 + 6*f**4 - 3*f**4 + f + 5*f**4 - 7*f**4 + 0*f**4.\nAnswer: 3*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 47 + 37 = 0. Suppose f = -q + 5*c, -2*c - 53 = 4*q + c. Let k = 22 - q. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in 43, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 10, -36\/149, -0.3, -2\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -374 (base 9) to base 15.\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 62 + 10 = -4*i, 3*t = 2*i - 12. Suppose -3*w - i = -p, 3*w = p - w - 12. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -796, -9374, -17950, -26524, -35096, -43666?\nAnswer: -52234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -1\/4 (b) -2.5 (c) -2\/11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8669 is divided by 2450.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2248 + 2248.1. What is the nearest to c in -46, 0.3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4933\nAnswer: -5\/4933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times 1.9811\nAnswer: -2.97165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/12)\/(18\/(-216)))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - (-222)\/54)*-9. Let n(j) = j**3 - 6*j**2 - 1. Let x be n(7). What is the highest common factor of x and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i**2 - 4*i**2 + 7*i**2)*(2*i**2 - i**2 - 3*i**2) + (-11*i**3 - 2*i**3 - 5*i**3)*(-2*i - i + 0*i) to s*i + m*i**2 + t*i**4 + g + o*i**3 and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 = -16. Let u = 36 - 28. Factor -6*k**4 + u*k + 16*k**3 + o*k**4 - 2*k**4 - 20*k**2 + k**4.\nAnswer: -4*k*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - 40\/30. Let r be ((-2)\/y + 28)\/2. Let t = r - 2. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 138*t - 83*t - 5*t**2 - 55*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2431*q**4\/2 - 4*q**3\/3 - 7*q**2\/2 - 6*q + 3. Let w be j(6). What is w rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 + (-124 - -71 - 11)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 31*b**2 + 18*b + 43. Is x(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4549.27 + -0.5?\nAnswer: 4548.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 r, and 1 d when four letters picked without replacement from {q: 4, d: 2, n: 1, r: 9, v: 4}?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*-2*-2*sqrt(891)*2)**2 + 0)*-1.\nAnswer: 1026432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 0.048. Let j = 0.202 + n. Is 0.3 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 73\/5*c**5 + 0*c**4 + 0*c**3 + 53*c + 1\/2*c**2 - 35. Find the second derivative of z(s) wrt s.\nAnswer: 876*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223332331?\nAnswer: 13, 94102487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8081 + -6777. Calculate the remainder when z is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 5*j - 15*j - 21*j in the form z + p*j and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/1199 and 19\/654?\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/1001 - (-144)\/(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (sqrt(2) - (sqrt(98) + sqrt(98)*3 - sqrt(98))**2))*-4*3.\nAnswer: -42576 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*j + 51*j + 10*j)*(-j - 14 - 30*j**2 + 18*j**2 + 14*j**2).\nAnswer: 176*j**3 - 88*j**2 - 1232*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 0.4, -0.3, 0.3, 2, -120?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66743.6ml?\nAnswer: 66.7436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, 216.\nAnswer: 1, 18, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3 + (-48)\/28*-2. Is -1 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/((-54)\/240))\/((-4)\/354). What are the prime factors of ((-144)\/(-120))\/((-3)\/g)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6*(-3 - (-39)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 78*p - 228. What is the hundreds digit of q(36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x - 4. Let m be f(2). What is the derivative of 0 - 5*u + m + 9*u wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/3 - 200*b + 13056 = 0.\nAnswer: 96, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 640 = -3*d. Let i(h) = -2*h**2 - h + 1. Let o be i(-5). Let p = d + o. Calculate the highest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2348 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 22 = -n, 0*n + 73 = 3*n - y. Let z = -9 - 3. Calculate the remainder when 59 is divided by (1 + n\/(-9))*z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11782948 minus -61775634?\nAnswer: 49992686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*h**4 - 2*h**3 + 3*h + 193*h**2 - 5*h - 116*h**2 - 78*h**2 - 38 to c*h**4 + f*h + w + o*h**2 + d*h**3 and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5))**(-41)\/(q**(16\/3)*q**(-6\/7)) assuming q is positive.\nAnswer: q**(4211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -38*a - 43. Let u be x(-4). Let b = 366 + u. What are the prime factors of b?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + (-16 - -20) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) -2\/9 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*g = 3*p + 8, 0 = 5*p + 3*g - 20. Suppose 4*l + 5*o = 15, -5*l = -0*l + 4*o - 12. Solve l = -p*r - 3 + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8755566 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/11 (b) -2\/41 (c) -2 (d) 5 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 10 = 2*y - 4*h, 2*h + 4 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-5))\/(21\/(-35)). Solve -10 = t*l, 6*q - l + 15 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = 0, -5*a - 4*d = -1 - 3. Let p = -103059 + 103064. Solve a*n + 12 = -4*b, -2*b + p*b - n - 11 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**2 - 11*r**2 + 3*r**2.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 + (-3 + 4)*-4. What is w rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 7*b + 1. Let h(u) = u**3 + 9*u**2 + 10*u + 19. Let y be h(-8). Let m be ((-21)\/(-28))\/(y\/20). What is o(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4528275, -4528332, -4528497, -4528824, -4529367, -4530180, -4531317?\n\"Answer: -9*c**3 + 6*c - 4528272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 at most 50216\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.019901 and -2.3.\nAnswer: -4.6457723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 5*i**2 + 4*i + 2. Let t be g(4). Suppose t*h - 118 = 4*l, -4*h + 5*l + 114 = -2*h. List the prime factors of h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191100 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 85715.0184 + -5?\nAnswer: 85710.0184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1168 and 4964?\nAnswer: 19856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -87171.6 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067027879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.1924 * 7\nAnswer: -8.3468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + -7 + (1 - 3) + -7 + -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -43?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147099602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1155 divide 70284647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19 and -124549?\nAnswer: 124530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from xkkppkkxappupkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**6\/360 + 31*p**4\/4 - 40*p. Let a(i) be the third derivative of j(i). Let t(v) = -42*v. Calculate a(t(l)).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f = -47*f + 15444. Calculate the greatest common divisor of 297 and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 300.\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/2 - v. Let g(b) = -3*b**2. What is k(g(o))?\nAnswer: 54*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000001100 - -100010?\nAnswer: 1011000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by 2.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216 + 287.5. Let d = t + -72. Which is the closest to -10? (a) 4 (b) d (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7629 - -7627. Put 0.009, 3\/5, d in descending order.\nAnswer: 3\/5, 0.009, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 2. Suppose 14 = -5*x + 59. Is h(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22602 - 5?\nAnswer: -22607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-2\/17))**(1\/11)\/((v**(-6)*(v\/(v\/(v\/v**(-1\/2)*v*v)))\/v)\/(v\/(v*v*v**1*v*v))**(3\/17)) assuming v is positive.\nAnswer: v**(1049\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1140738 and 71\/93?\nAnswer: 1140738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 210\/1960*(-16)\/(-6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2\/9*x**3 + 2 + x**2 - 4\/3*x. Suppose v(u) = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -7517 in ascending order.\nAnswer: -7517, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -906000 by -250.\nAnswer: 3624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141099 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -454582 divided by 6143\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 2\/11, -134.6, 1\/3, 3\/4, 488?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 j when three letters picked without replacement from {l: 3, x: 9, z: 2, j: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/(-14)*4\/17*14\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 3, k: 1, l: 1, v: 6}. What is prob of picking 1 v, 1 k, and 1 d?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -14.2. Let j = n - -0.8. What is the biggest value in -3\/4, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*v - 75*v + 1226 = 0. Let r = v + -440. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -36*a + 12. Let d be ((-5)\/(-4))\/5 + (-58)\/8. Let u be m(d). Suppose -8*g = -2*g - u. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4245, 4227, 4115, 3861, 3417, 2735, 1767, 465?\n\"Answer: -8*y**3 + y**2 + 35*y + 4217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(847) + -1 + sqrt(847) - sqrt(847)) + -4) - ((sqrt(168)\/sqrt(4))\/sqrt(2) - sqrt(21))\/(5*sqrt(12)\/sqrt(4))) + -5.\nAnswer: -20 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2275)\/(-3900)*9\/15)\/((-1)\/5)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 11:18 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 833*n - 55*n + 665*n + 2*n**4 + (-2 + 2 - 2*n)*(n**3 + 0*n**3 + 2*n**3) + n**4 - n**4 - 3*n**4.\nAnswer: -7*n**4 + 1443*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enneegi. Give prob of sequence gne.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) 5 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-43 - 1)) + -33 + (1 - (-3 - 27))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n + 5*n - 5*d + 20, -15 = 5*n - 4*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(3 + 0) + 5 + -22*(-3)\/(-30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (-13 + -4 - -10 - 9)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 20023?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(242) + -1 - sqrt(2))**2 + -1.\nAnswer: -19*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/30 - j**4\/6 + j**3\/3 - j**2 - j. Let z(b) be the first derivative of g(b). Factor z(y).\nAnswer: 2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*d - 98*d + 781*d)*(-d + d + d**4).\nAnswer: 571*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -2. Let g = 111 - 111.59. Let y = 0.09 + g. Which is the nearest to -1\/4? (a) v (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -325*o**4 + 990*o**3 + 1200*o**2 + 160*o = 0?\nAnswer: -4\/5, -2\/13, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**2\/2 - 30. Let f(i) = 3*i + 1. Let w = -2082 - -2081. Calculate w*f(b) + 6*s(b).\nAnswer: -9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnrnnnrr. Give prob of sequence rrnn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 - 0)\/1)\/(-1). Suppose 2*w + a*w = 8, -2*j = 4*w - 22. Let g = 48 + -33. Solve -j*k + g = 0, -2*p + 12 = 4*k - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/630 and 125\/882?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-29)*-9*(-6)\/(-108)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -255965.\nAnswer: 13\/255965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**7\/273 - 53*g**6\/780 + 51*g**5\/130 - 55*g**4\/156 - 50*g**3\/39 - 20*g**2 + g. Find t such that p(t) = 0.\nAnswer: -2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 921216 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483aa8 (base 13) in base 6?\nAnswer: -352210532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(27)\/(sqrt(225) - sqrt(9)))**2 + (-2*sqrt(15))\/sqrt(5) + (2 + 5 + sqrt(432) + (sqrt(432)*-1 - sqrt(432)))**2).\nAnswer: -1020*sqrt(3) + 23097\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.341 - -0.059. What is the third smallest value in -0.5, 6, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.32999283 + -3.33. Round b to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -257 + 234. Let q = g - -35. Calculate the highest common factor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 18*a**2 - 19*a + 20. Let o be f(17). Let t(s) = 2*s + 2. Let d be t(o). Let b = -20 - d. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -1\/14*r**7 + 0*r**3 + 0*r**2 + 7\/20*r**5 + 51*r + 0 + 1\/6*r**4 + 1\/15*r**6. Solve v(x) = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8 - 2*k**3 + 15 + 5*k**3 - 5*k**2 - 2*k. Let f(n) = 48*n**2 + 50*n**2 - 1 - n**3 - 97*n**2. What is -5*f(z) - w(z)?\nAnswer: 2*z**3 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -126? (a) -29 (b) 0 (c) -2583 (d) 2\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13802.000006293 + -13802. Round o to 7 dps.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = g + 3*h + 240497, h = -5*g - 1202557. Let b = 1478335 + g. Let z = -797823 + b. Round z to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1943 at most -797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 12 + 19 + (3 + 2 - 4)*(-2 + 3 - 2) - 1 + 2 + 0)*(-3 + 3 - 1)*(-3 + 3 + v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -4, 2, 46, 3 in descending order.\nAnswer: 46, 3, 2, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -290\/95109 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 3. Determine u(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(2 + -3)*(-7 + 12). Calculate the greatest common divisor of l and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 2*i + 14, 7 = 5*m - 2*i. Suppose -m*q + 2*f = -878, -3*q - 3*f + 1286 = 398. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3641 (base 12) in base 6?\nAnswer: -44121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*c**2 + (-c + 0*c + 0*c)*(4*c - 5*c + 0*c) + c**2 + 3*c**2 - 5*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1337 + 1352. Sort 0.2, -3\/2, j, -1 in decreasing order.\nAnswer: j, 0.2, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40764259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 250 + -247. Solve 2*g + 15 = -o*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-60)\/(-15) + (0 - 8) + 8. Let p = -2031 + 3835. Suppose b*z + 0*z = p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 814\/3*q**2 - 1220\/9*q - 4\/9*q**3 + 0 = 0.\nAnswer: 0, 1\/2, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028597 a multiple of 936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 + 8*h + 2. Calculate y(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)*((x*x**(-9)*x*x)\/x)\/x*x)**(7\/2)*(x**(-2\/5))**(25\/3)*x**(-8)*(x*x*(x\/x**(-1\/7))\/x)\/x assuming x is positive.\nAnswer: x**(-7873\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -2\/43, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25322*x + 25322*x - 585*x**2)*(-1 - 1 + 0).\nAnswer: 1170*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 256*a**2 + a - 2. Suppose 0 = -7*r + 10*r - 3. What are the prime factors of m(r)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160980365 or -160980364?\nAnswer: -160980365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 - 92. Let b = l - -245.9. Let w = -0.25 + -0.05. What is the second smallest value in b, w, -4, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*a + 776. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9427 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 + 289 = -4*f, -2*p + 3*f = -5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*c + 1. What is the remainder when (-47 + 2 - 2)*-1 is divided by (3 + 9)*(-2)\/c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2525*a - 2468*a + 133750 = 816*a - 459*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 189. Let u = 195 - k. Let a = -1 + 2. Solve -u*z = -3*z - a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4222 divided by -6?\nAnswer: 2111\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*a + a - 27, 2*y - 6 = 2*a. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/76 + 4 + (-2532)\/(-228). Solve 2*a = -q + 3 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y + 3. Let d be w(-3). Let h = d + 7. What is the units digit of h\/((-4)\/2 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h. Let y(j) = 318*j - 154*j - 157*j. Let n(x) = 4*t(x) + 2*y(x). Let v(k) = 12*k**2 + 3. Determine v(n(m)).\nAnswer: 48*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -14*t + 4936. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19076.\nAnswer: 2, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 9. Let g be d(8). Are -12\/5 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a15cc1 + 1a?\nAnswer: a1600b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**2 + 7*m - 1. Let j(g) = 18*g**2 + 22*g - 2. Calculate 8*a(v) - 3*j(v).\nAnswer: -6*v**2 - 10*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-3))\/((-6)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q - 21. Let i(w) = 69*w - 20*w - 20*w - 22*w - 11*w. Determine z(i(m)).\nAnswer: 16*m - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 824, 54, 4, -3 in decreasing order.\nAnswer: 824, 54, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -628 + 331. Let d = -270.1 - y. Let x = d - 28. Round x to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/113989 and 56\/9?\nAnswer: 1025901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/99 and 59\/264?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0 + 0 + (-2 + 3 + 1)*(0 + 0 - 2*t**2) - 2*t + t**2 + 2*t - 2*t**2 + 3*t**2 + t**2)*(-3*t**3 + t**3 + 9*t**3).\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13117 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 168828*d + 1012908. Give p(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yziwd. What is prob of sequence diw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4\/2 - 22*j**3 - 135*j**2\/2 + 2025*j = 0.\nAnswer: -10, 0, 9, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from {v: 3, a: 3, l: 3, k: 2, b: 3, i: 1}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 12*q - 12*q**2 + 3 - 11 + q**3. Let n be h(-11). Suppose 0 - 1\/4*g - 1\/4*g**4 - 3\/4*g**n - 3\/4*g**2 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19474360 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12580.5 - -12581. What is the nearest to -1 in 1, -56\/3, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21834d (base 15) to base 6\nAnswer: 54122031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b - 10 = -i, 3*i - 5*b - 40 = 0. Suppose 6 = -i*t + 76. Suppose 0 = -5*x + r + 185, 3*x - t = 2*r + 90. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - -141. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93283.\nAnswer: 93283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2546, -2464, -2324, -2126, -1870?\nAnswer: -1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9187546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 - 99 + 23)*(-2*u**4 + 3*u**4 - 3*u**4).\nAnswer: 312*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(7\/(42\/(-15)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -26966325*u**2 - 30142*u + 60284. Let t(k) = 10735*k**2 + 12*k - 24. Determine 6*g(y) + 15071*t(y).\nAnswer: -10765*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 77. Let v be d(20). Which is bigger: 8 or v?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64236?\nAnswer: 2, 3, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 28\/3 - 46\/3*g.\nAnswer: 2*(g - 7)*(3*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1769434, -1769446, -1769446, -1769428, -1769386, -1769314?\nAnswer: -1769206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. What is the smallest common multiple of 2 + (4\/((-16)\/(-12)) - -4) and 6\/r*(-12)\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = 4. Let n = 4 + -3.73. Let t = n + -0.47. What is the closest to t in 1, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:19 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19028.5 + 19133.753. Let s = 104.7 - p. Let r = 0.077 - s. What is r rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/132 and 167\/26712.\nAnswer: 293832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 304544 + -111?\nAnswer: 304433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:54 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d - 2*d)*(-12*d + 83 - 34*d - 81).\nAnswer: 46*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**3 - 3*i**2 - i - 1. Let v be o(2). Suppose -4*w + 297 = v. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 42171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -629 and 1684.816.\nAnswer: 1055.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*j = -34 - 95. Let p(m) be the third derivative of -7*m**2 + 0*m**j + 0*m - 1\/6*m**5 - 1\/3*m**4 + 0. Find the second derivative of p(z) wrt z.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6656*y**3 + 5*y + 3*y**2 - y**2 - 6627*y**3 to the form q*y**2 + p*y + m*y**3 + i and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36432 is divided by 549.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/3)\/(3\/(-9)). Suppose q*j + 2 = 5*j. Differentiate -3 + 11*r**2 - 14*r**2 + j wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.31, -8, 2.7.\nAnswer: -8, -0.31, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzxzzzzzzxzzxzzz. Give prob of sequence xx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172 - -171. Let n(k) = -k - 9. Let s be n(-10). Put -4, s, q in decreasing order.\nAnswer: s, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1012?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -1\/2 (c) -2\/7 (d) 9\/8 (e) 0 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000096919 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/4 + -41 + 432\/18.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 255558, 511116, 766674?\n\"Answer: 255558*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171808 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -745 - -744.8. Let f = 1 - 1.3. What is the third smallest value in s, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91339 - 25940213\/284. Find the common denominator of s and -137\/12.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 0.5, 14\/3 in increasing order.\nAnswer: -5, 0.5, 14\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kklkklkkklkkkllkkk.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*n - 58 = -2*z, 0 = -4*n - 8. Calculate the remainder when 97 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 4. Let s be a(9). Let g = s + 14. Solve -2*d + 3*y - 6*y + 2 = g, 3*d - 5*y = -35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*q = -497 - 1327 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 426614 or 426623?\nAnswer: 426623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242340 - 0?\nAnswer: 242340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 10*v - 8. Let g be h(9). Let n be (-9)\/(-6) - g\/2. Is (n\/(-6))\/(3\/(-63)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/15)\/1*5. Find the second derivative of p + y*p**5 + 2*p**5 - 2*p**5 wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382044 divided by -372.\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 343876566 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5 - 988*q**4 - 46218*q**3 + 840220*q**2 - 4444975*q + 7611000 = 0. What is q?\nAnswer: -59, 5, 1032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102011.4 + -102057.400054. Let h = x + 46. What is h rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**2\/2 - 2*q + 2. Let c be k(-6). Is (-445)\/(-20) - (-2)\/c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/2*1*-1. Suppose -2*x = 4*w - 0*x + 28, 0 = 2*w + 4*x + 20. Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 856*o**2 - 15*o + 6*o + 9*o + 484*o**2 to t*o + d*o**2 + u and give d.\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - b - 26. Let j be u(-5). Let r(o) be the second derivative of -o**5\/20 + 5*o**4\/12 - o**3 + 3*o**2 - 18*o - 2. Calculate r(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*t = 0, -4*m + 8*t + 9 = 7*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -67 + 67 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5*(sqrt(36)*-5 + sqrt(36) - sqrt(36)) - sqrt(36))\/(3*sqrt(1452)))**2.\nAnswer: -16*sqrt(3)\/11 + 313\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j + 5*j - 2*j + 2*j - 4*j**5 wrt j?\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 4*x + 22, 4*u + 3*x - 135 = -156 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-1)\/g)\/g))\/(g*g**(-14))*(g\/(g\/(g**(-4\/3)\/g)))**(-10) assuming g is positive.\nAnswer: g**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 455430*s**2 - 1027893*s wrt s.\nAnswer: 910860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*t + 91546 - 91473 = -287855. What is the remainder when t is divided by 1104?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -217, -454, -693, -934, -1177, -1422, -1669?\n\"Answer: -f**2 - 234*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(55) + sqrt(55) + -2*sqrt(55))*6)\/(-2*sqrt(275)) - (4 + sqrt(5)*1*-5*6))**2.\nAnswer: -13548 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.8 - 2.2. Let o = -41.000023 - j. Round o to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2. Let a(q) = -4*q**2. Suppose 5*b - 3*b + 5*z = -245, -2*b - 210 = -2*z. Let g be b\/(-20) + 2\/(-4). Determine g*o(y) - a(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and -1 + (-1)\/(-2) + (-7)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/10)\/(6\/(-30)). Solve 2*y - 6*y = 2*n, 0 = a*y - 4*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 = -11. Let h be (-264)\/36 + (n - 0). Let q = 10 + h. Which is the closest to -3? (a) 5 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9117485 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**6\/90 - 3*w**4\/8 + w**3\/3 + 10*w**2. Let q(a) be the first derivative of s(a). Find the first derivative of q(t) wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 499*g**2 + 6*g. Suppose 0 = -t - 4*t. Suppose 12 = 2*m - t*m. Let j be w(m). Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - 7) + (1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -1658, -5235, -12082, -23279?\nAnswer: -39906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14908 and 76.\nAnswer: 283252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/11)\/(5424\/1243).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okk when three letters picked without replacement from {k: 4, c: 3, o: 7, y: 1, i: 3}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/349, -2\/7, 1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4\/3 + 14*n**3\/3 - 74*n**2\/3 - 350*n\/3 + 392 = 0.\nAnswer: -7, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 6. Suppose 21 = 3*t + 3*g, -t - 1 + 3 = -4*g. What is the remainder when v(t) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 - 2\/(-5). Suppose f + 8*z - 3*z + 3 = p, -5 = -2*f + z. What is the highest common divisor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4403 and 484568?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 256*c**4*i**2 - 22265*c**4*i + 21041261*i**2 wrt c?\nAnswer: 1024*c**3*i**2 - 89060*c**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*p + 173 + 161, -165 = -r - 3*p. Let i(h) = -h**3 - 6*h**2 + 4*h - 2. Let c be i(-7). Calculate the highest common factor of c and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7.77*-9\nAnswer: -69.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p - 4*p - p**2)*(2 + 9 - 4)*(0 - 7 + p - 3) to g + n*p**3 + f*p + u*p**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/66737 and -71\/36402.\nAnswer: 400422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 126*m - 457. Calculate t(-121).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**4\/4 + x**3\/3 + x**2\/2 + x - 5. Let q(p) = p**3 - 9*p**2 - 5*p + 5. Let b(z) = -q(z) - 2*r(z). Give b(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74550, 298174, 670866, 1192614, 1863406?\nAnswer: 2683230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -23. Let x(y) = -y + 2*y + 2 - 1. Let c(f) = 5*f + 4. Calculate h*c(j) + 6*x(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 376040079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2\/4 - 1923*k\/4 = 0.\nAnswer: 0, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949836 is divided by 6981.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 41.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/6)*q*q**(-5))\/(q**1)**(-26) assuming q is positive.\nAnswer: q**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108702 is divided by 36193?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2764922 and 1472.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jebebbeb. What is prob of picking 2 e?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) - 104\/(-400). Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128042617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 8*n + 14*n - 10*n - 7.\nAnswer: 2*n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*d - 170 = -198, -d + 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -0*u + p - 5, -p = -2*u - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277563000 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1844 - -0.1144. Sort 3\/8, h, -2\/7, -2\/73 in increasing order.\nAnswer: -2\/7, h, -2\/73, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 274, 508, 798, 1150, 1570, 2064?\nAnswer: 2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 31 - (-24)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a + 40. Let b be f(8). Suppose -6*q + 7158 = -b*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37250.4301 rounded to the nearest integer?\nAnswer: 37250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiih when four letters picked without replacement from {i: 5, h: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 1, r: 1, p: 1, e: 2, i: 1}. What is prob of sequence fp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10) + (-95)\/(-5225)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = 31*w - 103 - 257. Solve w*h - 10*h - 33 = 5*f, 36 = -4*h - 4*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40739*g**3 + 3*g*o - 4*g + 4582347*o wrt g.\nAnswer: 122217*g**2 + 3*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6182744 years?\nAnswer: 0.006182744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*m + 13 = 0, -n + 17 = 2*m + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (0 + 6 + -20 + 10)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/130841 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {g: 1, u: 7, i: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82182 and 0.6?\nAnswer: -49309.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6855 = 9*m - 12*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12748321169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*u - 91990247, -g + 91990251 = 8*u - 3*u. Let p be 600\/((-3344737)\/u - 2\/(-11)). Round p to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 13*o + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 10. Solve l*m - 3 = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.246 + 7.2.\nAnswer: 6.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 2. Let v be f(0). Let x be (-1)\/v*2*0\/62. Solve -2*o + 5*t + 23 = x, 5*o + 10*t = 5*t + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(153\/108)*9\/24. What is the second biggest value in -2, o, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 15 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103480754 is divided by 10441.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -36369*p**2 + 7*p + 32. Suppose -20 = 2*z + 4*r - 8*r, 0 = -5*z + 6*r - 38. Let x be t(z). What is x rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -325470 (base 11) to base 3.\nAnswer: -222101211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*m + s - 5625 + 5315, -3*m + 42 = 2*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/433936 and 97\/296.\nAnswer: 433936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -232, -359, -506, -679, -884, -1127?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412823 + 206399 - 8*g + 206411.\nAnswer: -8*g - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 137 - 272 + 137 + 20*b as x + z*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - -8980?\nAnswer: 8997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.0164*-0.5\nAnswer: -1.5082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33962837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134450*p - 91081.\nAnswer: -134450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1321774 or 1321764?\nAnswer: 1321764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*s**5 - 12*s**5 + 26*s**5)*(-8 + 5 - 2).\nAnswer: -250*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 2. Let d(k) = 258*k**3 + 4*k**2 - 159. Let g(v) = d(v) - 4*t(v). Find the first derivative of g(m) wrt m.\nAnswer: 774*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00292 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 29*f**8\/336 - f**6\/15 + 244*f**5\/15 - 463*f**2. What is the third derivative of o(c) wrt c?\nAnswer: 1740*c**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1091, -332, 949, 2764, 5125?\n\"Answer: 2*m**3 + 249*m**2 - 2*m - 1340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**6\/40 - 2*z**3\/3 - 4*z**2 + 8. Let n(x) be the second derivative of r(x). What is the derivative of n(m) wrt m?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640*z = -332*z - 260*z - 16080. Let t(w) = -w**3 - 2*w**2 - 3*w - 2. What is the remainder when z is divided by t(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l**2 + 3*l + 8. Let k(d) = 19*d - 58*d**2 + 17*d - 7 + 109*d**2 - 38*d - 60*d**2. Determine -5*h(n) - 6*k(n).\nAnswer: 4*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -371734*j + 4758. Let f(l) = -4085*l + 52. What is 183*f(g) - 2*k(g)?\nAnswer: -4087*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211 + -138. Let z = -81 + f. Let b be (30\/z)\/(4\/9120*3). Round b to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - w = 1074, 0 = -4*w - 15 - 1. Suppose -d + 240 = -u. Suppose 3*b - d - 185 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0576, -3, -0.3, 1\/4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let a(o) = -o**2 - 6*o + 7. Let g(t) = -a(t) - 6*j(t). Give g(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*40\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -0.02, 0, 1\/3 in ascending order.\nAnswer: -7, -0.02, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 19*a - 59*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179947811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 0, 4*b - b - 5*m - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138352 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.1 - 5.58. Let b = -0.73 + z. What is b rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15136*w - 15130*w + 156 = 0 for w.\nAnswer: -26","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 qqqoqqqqqqqqo.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x. Sort 20, -3, 4, x in decreasing order.\nAnswer: 20, 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202100021210222 (base 3) in base 16?\nAnswer: a4f90f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b - 5. Suppose t = 5*t + 4*x - 28, b*t = -x + 27. Let c be (-15)\/(-45) - (-20)\/(-6). Sort t, -2, c.\nAnswer: c, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*c + 269 - 252 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -78 (b) 5\/14 (c) -126\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -114470 and -0.60168917.\nAnswer: -114470.60168917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15908.66 tonnes in kilograms?\nAnswer: 15908660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 389, 779, 1169, 1559, 1949, 2339?\n\"Answer: 390*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/270 - 2*a**4\/27 - 4*a**3\/9 - 51*a**2 + 99*a. Let j(c) be the first derivative of o(c). Solve j(n) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 98 = 6*p. Let o be (-55)\/(18\/p + 1). Let m be 21 - -2 - (-4 - -2). Calculate the greatest common factor of m and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 25920?\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-6))\/(-2))\/(4\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1324237057 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-5 - 10 + 0)*(-3*c**5 - 2*c**5 + 3*c**5) + 5*c**5 - 2*c**5 + 9*c**5.\nAnswer: 72*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 13. Let r(d) = d + d + 6 + 4*d. Let b be r(w). What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4985397 to 2 decimal places.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)\/((-4)\/(-36)). Let w(p) = 11*p - 2. Let y be w(2). Suppose -2*x + 4*k - y = 0, 5*x - x + k - 5 = 0. Solve -3*l + x = -g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3345\/10927*(-12)\/(-10))\/((-9)\/(-42))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - d**2 + 40*d + 103. Let x be l(-6). Solve -60 = -x*a + 33*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from ipipc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 - 34*f - 22. Calculate w(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**4\/4 + 16*y**3\/3 + 17*y**2\/2 + 4. Let v be u(17). Suppose v = -4*l + 11 + 93. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13268\/46781 + 14\/6683. What is the second smallest value in -3673, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1005\/(-105) - 6\/14. Let w(c) = -10*c - 21. What is the units digit of w(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875876\/7 less than 553698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.10393 decades in months?\nAnswer: 9372.4716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -1180 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(8\/9)*i)\/(i\/i**(-2\/3)))\/((i\/(i**10\/i))\/i)**20 assuming i is positive.\nAnswer: i**(1631\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.338334 hours to minutes.\nAnswer: 140.30004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33323330 + 3?\nAnswer: -33323321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 3 - 1\/20*s**5 - 1\/4*s + 1\/6*s**3 + 0*s**4 + 0*s**2. Solve t(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 110 = -30. Let b = -57 + k. Let l = -10 - b. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g + 145 = -11*g. What is the highest common factor of g and 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 67562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1309 + -835. Calculate the remainder when p is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33884 and 13.\nAnswer: 440492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24711\/(-3530) - -3) + 4. Let k = -189403323384359\/14120 - -13413833091. Let f = n - k. Find the common denominator of f and -7\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73fd (base 16) to base 8.\nAnswer: -71775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + -7 - (50 + 75 + -139).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -25962*r. Let t(i) = -50*i - 2. Calculate t(d(n)).\nAnswer: 1298100*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -8 + -17 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5110340170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52290, 52288, 52286, 52284?\nAnswer: 52282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 + 75 - 82)*(-j - 1 + 2*j - 2*j) + (106 - 114 - 84)*(3*j + 2*j - 4*j).\nAnswer: -171*j - 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:37 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**2 + 1. Let k(n) = 2*n - 3. Let u(p) = -p + 3. Let a(y) = k(y) + u(y). Calculate x(a(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + (19 - -25) + -2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0*u**4 - 2*u - 3\/20*u**5 - 1\/2*u**3 + 0 + 0*u**2. Find the second derivative of f(p) wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 6*c - 6. Give b(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56173*n**2 - 30 - 56086*n**2 + 112306*n**2.\nAnswer: 47*n**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 + 333. Let g(p) = 0*p**3 - s*p - 9*p**2 + 3 + 140*p + p**3. Let c be g(10). Solve c*r - 5*r = -2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 8*n**3 + 4*n**2.\nAnswer: 4*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t - 2 = -2*c, -c + 4*t = 11. Solve c*i - 14 = 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5 = -2*w - 15, 2*j - 3*w = 7. Solve -5*n + j*z - 23 = 0, 0*n + 4*n = z - 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 20258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y + 16. Let q be i(-3). Suppose -2 = -q*h + 14, -5*f - 4*h + 581 = 0. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124.92 - -126. Let b = -0.68 + z. What is the third smallest value in 2, b, -0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92103 is divided by 1218.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 158*f**2 + 5*f + 2. Let g = 364 - 363. Does 55 divide h(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 less than 2362\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 41*g + 1 - 4 - 48*g - 11 + 10*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-129)\/3)\/(((-49)\/14)\/((-133)\/38)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2170*s = -1008*s - 996*s - 5146 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*k = 2*g + 10, 3*k + 3629 = 3*g + 7346 - 3657 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -n + w, w - 15 = 4*w. Suppose 5*m - 45 = 70. Calculate the remainder when n is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*t + 144*t = -207. What is the remainder when 481 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (215 - 1)\/(5\/(435\/(-2574))). Let t = b + 119\/39. Calculate the common denominator of (-2)\/(-8*3\/(-158)) and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q + 4*q + 24*q - 4*q.\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206811 is divided by 368?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (174\/(-42))\/(-29)*(-4 - (-5)\/10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5 + 4 + (sqrt(147) + (sqrt(147) - 2*sqrt(147))*-4 - (2 + sqrt(147)*2)))*4*5)**2.\nAnswer: 151200*sqrt(3) + 561600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16487\/21 - 785. Sort -1, 0.6, i, -4 in descending order.\nAnswer: 0.6, i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162920101*j**5 - 62*j - 1502039?\nAnswer: 3258402020*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44, 29, 238, 655, 1352, 2401, 3874?\n\"Answer: 12*u**3 - 4*u**2 + u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 11*c**2 - 20*c - 19. Let r be m(-9). Let j(w) = 48099*w - 1. Let d be j(r). Round d to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -12\/5 (b) 7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*h = 2*h + 5, -4*o + h = -17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 8 + -9 - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/3 and ((-2)\/42*-190)\/((-61)\/((-6222)\/24208)).\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*z*z\/z**(8\/3))*((z\/((z*z**(-3\/10))\/z))\/z)\/z*(((z\/(z*z**0*z*z)*z)\/z)\/z*z)**(-12) assuming z is positive.\nAnswer: z**(689\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*p + 812 = 0, -610 = -3*g + 3*p + p. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 79. Let b be a(27). Let y be 2\/(2 - b)*16. Solve -y = -4*t + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 9, h: 7}. What is prob of sequence zh?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964432 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 52*g\/7.\nAnswer: 2*g*(g + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bssb. Give prob of sequence bb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4 - 5 - -8)\/1)\/(6\/174)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 17. Which is smaller: q or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/65*(-1)\/(-3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (-2*sqrt(7))**2) + sqrt(343) + -1 + 1 + sqrt(252).\nAnswer: -112 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 10:12 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39346945 a multiple of 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:18 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 143?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1958954126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, -1\/2 in ascending order.\nAnswer: -13, -4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1 + a + 2*a + 0*a + 5*a. Suppose u - 6*u = -20. What is the units digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 537 by 179.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 - -65. Let h(d) = d**3 + 9*d**2 + 12*d - 4. Let l be h(k). Solve -7*i + l = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l + 4. Let g(v) = -v + 1. Let b(u) = -1. Let h(c) = -b(c) - g(c). Let i = -1 - 0. Determine i*p(q) - 2*h(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -21 + 39 - 18 - 41*o**2. Let f(t) = 4*t. Determine g(f(n)).\nAnswer: -656*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177 and 430228.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**2 - 4*k + 6. Let a(p) = -p - 1. Suppose -2*n = 9 - 99. Let v be 54\/n*(-20)\/6. Let r(l) = v*a(l) - h(l). Solve r(z) = 0 for z.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 6*k + 9. Let s be c(7). Suppose -2 = -g + d, -5*g + s*d = d - 10. 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 2073077 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -643.5*-9.84.\nAnswer: 6332.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -5 (c) -2\/13 (d) -0.2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154.272 + -185.87. What is g rounded to 0 decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*sqrt(108)*-1 + sqrt(108) + -2*sqrt(108)*2 + sqrt(108) + sqrt(108))\/((sqrt(196) - (sqrt(196) - sqrt(196)*2) - sqrt(196))*6) + -4.\nAnswer: -5 - 3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165 + -175. Let b be (-70)\/84*9\/x. What is the biggest value in 0.06, 0, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.36 - 0.58. Let f = t - 13.78. Let d = 14 + f. Which is the nearest to -0.2? (a) d (b) 2\/5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*z + 55218 = -23374. What are the prime factors of z?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100405*s - 5*t + 12 = 100402*s, 3*t + 8 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 3. Let z = l + -35. Solve 0 = -2*t - k - 0 + 5, 2*t = 2*k + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 2*u - 2*a + 35, 2*a - 21 = -u. Suppose 3*o + 4*h = 56, -o + 24 = -0*h + 4*h. Calculate the remainder when u is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*q - 50. What is the greatest common divisor of q and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 5*h**2 + h + 4. Let p be z(-5). Let l be p\/(-6) + (-2)\/(-6). Let t be 0 + 2 + 12\/(-7). Which is greater: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3617537.6 to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*w**6 + w**2 + w**2 + 3*w**6 - 8*w**6 wrt w.\nAnswer: -2520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.69183 centuries in months?\nAnswer: 95630.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200750 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) + (-93)\/7. Let f = -6 - r. Let h(a) = -9*a + 9. Suppose 4*l = -4*l + 40. Let z(s) = 13*s - 13. Calculate f*h(k) + l*z(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - v - 4. Suppose -14 = -4*c - a, 0 = 5*c - c + 5*a - 22. Let x be m(c). Let o(k) = 1 + 0 + 0 + 6*k**x. Calculate o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1218*o. Let k(f) = -3*f**2 + 167. Calculate d(k(u)).\nAnswer: -3654*u**2 + 203406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a**2 - 394*a + 1385. Calculate c(4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -0.73740561312?\nAnswer: 1.26259438688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 10*w**2 - 14*w - 11. What is the units digit of r(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0891 * -7\nAnswer: -0.6237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6 - h**3 + 0 - 2*h - 4*h**3 + h**2 + 4*h**3. List the prime factors of i(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sffsgxfssx. What is prob of sequence sfg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyy. Give prob of sequence yzy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h + 1. Let j(f) = 1370 + 7*f + 1381 - 4134 + 1382. Give -6*j(a) - 5*w(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 18*x**2 - 24*x + 12. Suppose 0 = l + 5*a - a + 24, 5*l - 5 = 5*a. Let q(v) = v**3 + 1. Let m(d) = l*q(d) + h(d). Factor m(n).\nAnswer: -2*(n - 2)**2*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1543958 or -1543961?\nAnswer: -1543958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/225 and -59\/3736450?\nAnswer: 33628050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 1566*p**5\/5 - p**2 + 127*p - 80. Find the second derivative of h(n) wrt n.\nAnswer: 18792*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116260 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26282?\nAnswer: 2, 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u - 5*u + 11*u + 13*u**4 + (-4*u**2 + 2*u**3 + 4*u**2)*(3*u - 3*u + 3*u))*(6*u - 5*u - 3*u).\nAnswer: -38*u**5 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 h when three letters picked without replacement from {a: 4, m: 1, q: 1, e: 4, h: 5}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrm when three letters picked without replacement from mrmmmmmm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38, 60, 88, 122, 162?\n\"Answer: 3*g**2 + 13*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2*l - 2)*(-4*l**2 + 0*l**2 - 7*l**2)*(-7*l**2 + 3*l**2 + 2*l**2) + 2*l**3 + l**5 - 2*l**3.\nAnswer: -43*l**5 + 22*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 77*f + 1173. Determine n(-10).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from fcbbi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + 1 + (0 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11393 - -79749\/7. Which is the nearest to f? (a) 3 (b) -5 (c) 0.061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2057 + -1.5057. What is the biggest value in n, -590, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 351366317\/177*(-714)\/30. Let j = c + 47245843. Let a = j + 6\/295. Find the common denominator of a and -53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Let j be (0 + 1)*20\/15. Which is the third smallest value? (a) o (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169 + -177. Sort c, -2, -1, 5 in increasing order.\nAnswer: c, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1025056 - 266514243\/260. Let u = o + 2\/65. Calculate the common denominator of 48\/53 and u.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 632*d**4 - 51584*d**3 + 558952*d**2 - 1659140*d + 1152400 = 0. Calculate d.\nAnswer: -67, 1, 4, 5, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*k + 3*b - 96 = -272*k, 4*b = k - 23 + 146 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 48 - 18 = 2*b, 4*b + 78 = 5*j. Let y(r) = 29*r - 29. Let n be y(6). Suppose 23*f = j*f + n. Calculate the remainder when f is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251587 is divided by 6829.\nAnswer: 5743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:40 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3089896 divided by -772474.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:33 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q + 415. Give a(-12).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40855 + 18588959\/455. Is n at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 66) + 49 - -16.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 4437*p**2\/2 + 70791*p\/2 + 243155\/2.\nAnswer: (p + 5)*(p + 11)*(p + 4421)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 97235260*v + 194470504.\nAnswer: 4*(v + 2)*(v + 24308813)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 6*d**2 - d**2 - d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/12*-1 - 2\/((-96)\/200). Let n(d) = d**2 + 5*d - 2. Let q be n(-6). Solve 2*i - q*i = -b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -35*u - 6. Calculate y(5).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26895.17 - -27207. Let h = 325.6 - r. Let c = -14 + h. Round c to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -635, -338, 1935, 7174, 16369, 30510, 50587?\nAnswer: 77590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 26 + 23698\/(-984)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -4, 0, -0.5, 551?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3374*o**2 - 2. Let v(a) = 2*a - 6. Calculate v(w(b)).\nAnswer: -6748*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 425232584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*z**4 + 297*z**3 + 1200*z**2 - 252*z.\nAnswer: 3*z*(z + 6)*(z + 14)*(5*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 - -202?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 1, -5\/3 in increasing order.\nAnswer: -5\/3, -1.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 163\/14854 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -226.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101280 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1a69a (base 13) to base 2\nAnswer: -1100100111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 7 + 161. Let f = -6 + 19. What is the remainder when q is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842599508.\nAnswer: 2, 210649877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6047, -24125, -54249, -96413, -150611?\nAnswer: -216837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/385 - 40\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from wzmbzhz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n**2 - 4*n - 5. Let o(f) = -20*f**2 + 4*f + 6. Let q(p) = 6*a(p) + 5*o(p). What is the second derivative of q(r) wrt r?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z - 1. Let i = 4 - -1. Let n be (4\/i)\/((-6)\/45). Let d = n + 8. Give j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97675.9898 + 0.1\nAnswer: -97675.8898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -1\/8, -0.45, 4\/7, -21.9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 11*b**2 - b**2 + 17*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.792279 * 3.\nAnswer: 2.376837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -3. Let k = u + 11. Suppose 5*b - 11 = k. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*m**3 - 107*m**3 - 109*m**3 + (3*m**2 + 0*m**2 - m**2)*(m - 3*m + 3*m).\nAnswer: -227*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233 - 3022031?\nAnswer: -3022314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2*p + 3. Let u = 10 + -8. Let f be (2\/3)\/(u\/(-9)). What is t(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 13) to base 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.9 rounded to zero dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 230589 = 2*f, -2*t - 2*f + 5*f = -92229. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 32. Let g be l(14). Let t = g + 52\/3. Let d = 1591\/7 + -227. Which is the closest to -2? (a) t (b) 1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68550821 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*r - 37, 2*z - 3 = -3*r + 4*r. Suppose 5*p = -r, 2*x + 2*p - 15 + 5 = 0. Let d(f) = f**2 - f + 5. Let b be d(5). Solve n - x*n - b = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 92 = 230. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 396?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 30*m**2 - 219*m + 122. What is the remainder when a(-16) is divided by (-1)\/(-3) + (-106)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u = 20. Find the third derivative of 2*f**3 + u*f**3 - 4*f**3 + 2*f**2 + f**2 wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 13 + 11. Let n be (-3)\/9*t\/(-2). Let k = -9 - -6. Which is the nearest to n? (a) -2 (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 44*l**2 - 8*l + 1533. Let w be j(-45). Sort 3, w, 0, -1, 1 in increasing order.\nAnswer: w, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 201*m**3 + 4*m**2 + 4*m + 2*m**2 - 2*m**2 - 198*m**3 + 4. Let w be n(-2). Find the common denominator of 1\/(-11)*(41 - w) and -13\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363)*2 + 1 - (-2 + sqrt(363) + -3)) + (sqrt(363) - 4*(sqrt(363) + -2) - sqrt(363) - -1*(-1 + sqrt(363))))*-3)**2.\nAnswer: -5148*sqrt(3) + 14589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 245217 + 245217.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4743.279km?\nAnswer: 4743279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111\/632 - -4\/79. What is the second biggest value in -0.3, h, -12.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -123.7. Let p = -11 - w. Sort 9, p, -1\/6 in decreasing order.\nAnswer: 9, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47053640 and 16.\nAnswer: 94107280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6997.35 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -59509.478\nAnswer: -59509.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - (sqrt(187) + 4*sqrt(187)))*-5 + sqrt(187))\/(1*5*sqrt(11)).\nAnswer: 22*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -8\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 9*i - 9. Suppose 4*j + 20 = 2*j. Let y be v(j). Solve 0 = l - 4*g + 12, -2*l + g - 11 = -y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 471577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2833 - 1463 = 0. Let j be (-6)\/(-27) + k\/(-27). Solve 4*g - 4*u = -j, -5*g + 0*g + 3*u = 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.965 + -16.172. What is y rounded to one dp?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 3. Let m = -4 - k. What is the remainder when ((-86)\/3)\/(m\/3) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**2. Let n(h) = -23*h. Give o(n(z)).\nAnswer: -3174*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 15*u + 738. Let g(m) = 5*m + 369. Calculate 2*f(i) - 5*g(i).\nAnswer: 5*i - 369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:04 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/135 - 3*(-114)\/(-81).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11563812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-4 - -3) + 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7143*t**2 - 1937*t + 1937*t.\nAnswer: -7143*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 32*j**2 + 4*j - 104. Let b be g(32). Calculate the greatest common factor of b and 27324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 122461 = -5*a, -o = 22*a - 26*a + 97948. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -516642806*d**2 - 82081933*d - 3?\nAnswer: -1033285612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.08 + -2.52. Let x = i - -15.2. Let j = x - -12. What is the second smallest value in j, -4, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2017259 is divided by 1162?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-231)\/44*4).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35877 divided by -1.\nAnswer: 35877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 900108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1292)\/14 + -8 + (-174)\/(-21). Let b = -91 - i. Let h(n) = b + n + 1 - 2. Let w(p) = -2*p**2. Give h(w(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001 (base 2) to base 13.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, -2, 3, -3 in decreasing order.\nAnswer: 3, -2, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**4\/4 + 53*x**3\/3 - x**2\/2 + 8064*x + 6910. Differentiate k(i) with respect to i.\nAnswer: -3*i**2 + 106*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1088) + sqrt(1088) + sqrt(187)\/(-1*sqrt(11)) + (sqrt(119) + ((-2*sqrt(119) - sqrt(119)) + sqrt(119) + sqrt(119))*4)\/sqrt(7))*-5.\nAnswer: -60*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**3\/8 - 49*t**2\/8 - 735*t\/8 - 3087\/8 = 0.\nAnswer: -21, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -194d?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-48)\/1239)*(-1 - 7). Suppose 0*l + 2*l = 5*b + k, -3*l - b = -1205. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-247 + (-68195)\/(-276))*(-42)\/(-2).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5557 + 666847\/120. Let q = d + 1\/15. What is the third smallest value in -1\/3, -3\/5, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2 + 6 - 9*j + 3 - 7 + 4. Let i(n) = -208*n + 91. What is 4*i(a) - 91*x(a)?\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 7, x: 1, c: 7}. Give prob of picking 2 v and 2 c.\nAnswer: 63\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzuzkzuzkkzkkkz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/17 + (-1)\/((-2)\/14). What is the units digit of 136\/h*(1 - (-15)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119737400099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = j - 4*o, -4*j + 0*j - 4*o = -360. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3 + 4 + 6*h - 3 to the form o + j*h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - v + 12, p = 5*v - 10 - 8. Suppose -w + 5*u + 130 = p*w, 2*w - u = 89. What is the remainder when 98 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 10:20 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -4\/19 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 27*h - 596. Determine l(21).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(132)*-2*-3)\/(sqrt(1200)*-1 - (sqrt(72)*2)\/sqrt(6)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13817260481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1046328 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36305 + -37381.45. Let t = j - -1076.306119. Let v = t + 0.144. Round v to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5704654 millimeters in meters?\nAnswer: 0.0005704654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*r = -7014, 0 = 2*c + 2*r - 5635 + 979. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1486 + 1.0324. Round f to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 261862, 1, 5, -4 in decreasing order.\nAnswer: 261862, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/528588055 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27435?\nAnswer: 3, 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1542 - -5563. What are the prime factors of l?\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1132111, 1132112, 1132113, 1132114, 1132115, 1132116?\nAnswer: 1132117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 21, 135, -4, -16 in increasing order.\nAnswer: -16, -4, -2, 3, 21, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -v, -3*v - 4*g + 8 = 2*v. Solve v = y - 3*i + 17, 0*y + 41 = -5*y + 4*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -107, -293, -625, -1145?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/1 + 2\/6. Let s be ((-6)\/(-24)*4 - -3)\/2. Factor 1\/3*z**3 + 0 + 1\/3*z**s - 1\/3*z**4 - i*z.\nAnswer: -z*(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-58)\/29*((-8)\/4)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*q - 2*r - 4, 3*r = 4*q - 13. Suppose 0*o + 5*c - 10 = 5*o, -2*o - 4*c = -2. Is o at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9555 and 5265?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 4, 13 in descending order.\nAnswer: 13, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - m + 1801 = 0, 2*a = -m + 1779 + 1823. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-2 - -21) + (-128)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 2, g: 1}. What is prob of picking 1 g and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*a + 40, -3*a + 20 = a. Suppose -2*s = 13 - 1. What is the lowest common multiple of (-812)\/(-42) + (-4)\/s and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1822894408 minus 0?\nAnswer: -1822894408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let u = -43 - -47. Suppose 10*z = u*z + 30. What is the highest common factor of n and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*g - 830 - 576 + 468 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -6, -145 in descending order.\nAnswer: -2, -3, -6, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1388830 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 3 (c) -1 (d) -5166 (e) 91\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 0.0996194.\nAnswer: 0.3003806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158686?\nAnswer: 2, 17, 53, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Rearrange 0 - 2*g**3 - 2 + 0 + (-35 + 3424 - 529)*(g**3 - 1 + 1) to the form m*g**2 + k*g**3 + v*g + i and give k.\nAnswer: 2858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121319 and 902?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 - m**2 - m**2)*(9*m + 47*m - 91*m)*(1 - 1 + 2*m) in the form a*m + k*m**2 + j + f*m**4 + w*m**3 and give f.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 23*l**9\/56 + l**7\/210 + l**5\/10 - 5*l**4\/8 + 128*l**2 + 11*l. What is the third derivative of c(i) wrt i?\nAnswer: 24840*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711726 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190789628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 3 - 7 - o**2.\nAnswer: -o**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/17)*l**8\/l*l**(-2\/7)*l*l*l*l*l\/(l\/((l**(-7)\/l)\/l))*l*l)\/((l**(-1\/2))**11*((l*l**(-3)*l)\/l)\/(l**(1\/8)\/l*l)) assuming l is positive.\nAnswer: l**(11635\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 359877.51 minutes?\nAnswer: 249.9149375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15835777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42081 + -3?\nAnswer: 42077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 7. Let y(i) = -2*i - 4. Calculate 6*s(z) + 10*y(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1356*v + r + r + 30 = -1351*v, -2*v = -5*r - 33 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55, -137, -273, -463?\n\"Answer: -27*o**2 - o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875 (base 13) in base 4?\nAnswer: 320331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293191074 to the nearest integer?\nAnswer: 17123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 4*x + 503976 = -20*z, 125966 = z + 5*x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1009 + 1009 + 27*z**2 + (5*z + 2*z + 2*z)*(4 - 4 + 2*z) + (-2*z - 6 + 6)*(2*z - z + 0*z) + 0*z - 2*z**2 + 0*z.\nAnswer: 41*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22450\/(-26940))\/(230\/(-36))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {q: 2, y: 2, m: 4, a: 8}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 6. Let s(u) = u. Let i be s(2). Suppose o = i*l - l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -40*b + 13*b + 15*b + 14*b. Let x(h) = -6*h - 6. What is x(c(a))?\nAnswer: -12*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 4 = 3*c - 35*h, 3*c - 39 = -3*h for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6008472 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x - 122. Let h be b(24). Suppose 57 = 73*w - h*w. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-1)\/(5\/15). Let s be p + (0 - -179)*1. Suppose -s = -6*h + 2*h. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5113, -5060, -5007, -4960, -4925?\nAnswer: -4908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 9:14 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 9. Calculate j(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -38013*j + 2736931. Determine q(72).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1288238.\nAnswer: 1\/644119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(20))**2 - (-1 + sqrt(637) - sqrt(637) - sqrt(13)).\nAnswer: sqrt(13) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h. Let c(f) = -146862*f. Calculate v(c(g)).\nAnswer: 587448*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93894433, -187788868, -281683303, -375577738, -469472173?\nAnswer: -563366608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116840004?\nAnswer: 2, 3, 73, 133379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - u**2 - 2*u**2 + (-2*u + 0*u + 4*u)*(-6 + 9 - 2 - 3*u).\nAnswer: -7*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*v - 2*l - 3*l, -3*v = -2*l - 6. Solve v*b = 2*z - 3*z + 15, -5*z + 5 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001158 to six decimal places.\nAnswer: -0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 736 and 1324.29?\nAnswer: 974677.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - 5*m, -5*v + 18 = -m. Suppose 3*u = -v*u + 696. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z - 100. Give w(-16).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doqad. Give prob of picking 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/15)*t)**(-6\/23) assuming t is positive.\nAnswer: t**(-56\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from zzzzzbzbz?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 257 = 13 - 6. Solve 5*t = 5*m + 10, -3*t - 2*m - f + 39 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-65))\/((-600)\/1500)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t**2 + 1. Let f(k) = k**3 + 11*k**2 - 10*k. Let q(v) = -f(v) - 2*s(v). What is the remainder when 55 is divided by q(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 537\/5. Suppose 4*i - 2 = 3*i. Let x = 233 - 2561\/11. What is the closest to i in x, f, -4\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2889188, -11556745, -26002682, -46227005, -72229720, -104010833?\nAnswer: -141570350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = 3*s. Let o(q) = -q + 2*q - s*q. Let z(p) = -8*p**2. Give z(o(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -74, -173, -258, -323, -362, -369?\n\"Answer: z**3 + z**2 - 109*z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1074108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764895824 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 - 217 - 26217*a**3 + 3*a**2 + 437.\nAnswer: -26217*a**3 + 3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose 14 = -2*w - 2*o + 4*o, -3*o - 4 = 2*w. Suppose 5*a + l + 11 = 0, -a + 29 = -4*a + 5*l. Sort a, x, w in increasing order.\nAnswer: w, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**3 + 6*x**3 + x - 19*x**3 - 2*x**4 as g*x + q*x**3 + s*x**4 + p + m*x**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43987218793 and -81.\nAnswer: 43987218712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/11 - -130\/297. Which is greater: -0.4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 5. Let t be o(-9). Let u(v) = v**2 - 12*v - 16. Let x be u(t). Which is the biggest value? (a) 0.3 (b) 1\/19 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4 + 363*g**3 + 9465*g**2 + 23829*g - 33660 = 0. Calculate g.\nAnswer: -85, -33, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m + 1. Let j(f) = 21*f + 8. Give 6*i(a) - j(a).\nAnswer: -75*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 8) in base 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1461\/200 - -115\/16. Find the common denominator of -53\/1000 and k.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - -49 - (5 - -14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 111, 166, 221, 276?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/l**1*l))\/l)\/l)**(-3\/7)*l**(-6)\/((l**(-3)\/l)\/l)*(l*l**2*l**(1\/5))**(-25) assuming l is positive.\nAnswer: l**(-564\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let n = -27571\/4 + 7028. Let q = 136 - n. Is w less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -91629461 and 17.\nAnswer: -1557700837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-8)*1*-36. Suppose z = 2*y + y. Suppose -u = 2*q - y, -6*q + 4*u = -q - 45. Solve 3*k + 3*p = -q, 4*k - 3 = p + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 35 = -3*n, -79*u = -77*u - 4*n - 34. Let k(z) = 2*z + 8. Let m(f) = -4*f - 15. Give u*k(p) + 6*m(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 52011 (base 6) to base 15\nAnswer: 20b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 3*u - 1. Let c be z(-4). Suppose -5*w - 15 = -2*r + 15, -3*r + c = -w. Calculate the lowest common multiple of r and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -625993\/239340 - 14\/11967. Find the common denominator of 121\/6 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(320) + (sqrt(320) + (sqrt(320) + 5*sqrt(320))**2 - sqrt(320)) + 2 - (sqrt(320) + 3)*5*3) + 1.\nAnswer: -112*sqrt(5) + 11479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30494.92 rounded to the nearest 100?\nAnswer: -30500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t. Let j(q) = 649*q. Calculate b(j(z)).\nAnswer: 6490*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 = 5*f - 2*y, 0 = f - y - 6. Suppose f*h - 12 = 4*d, -5*d = 2*h + 10 + 14. Let r be (h\/(-5))\/((-1)\/(-5)). Solve -2*a - r - 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five quarters of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 140126.4 to the nearest 1000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 26.991. Let o = m + -0.091. What is the biggest value in 0.3, 0.5, 35, o?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-372))\/(98\/147)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 4 = -16*o. Let x(h) = 6 - 2*h**2 + 3*h**o - h - h**3 + 0*h**3 - 3. Let s be x(0). Is 9\/5 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b - 2*s - 1, 2 = -2*s. Let f be b\/(-7) - (-2)\/(-63). Let i(o) = o - 8. Let d be i(8). Are d and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*r - 87*r - 2 - 7*r + 2 to g + b*r and give b.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 164 or 1790\/11?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -904 divided by -1\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 20, 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 30. Let u be n(17). Let y = -6010 - -6008.2. Which is the second smallest value? (a) u (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 d when four letters picked without replacement from {c: 9, d: 9}.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-91)\/(-21) + 2\/(-6). Let c be (y - 1)\/((-2)\/24). Let z = 124 + c. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 10*g**5\/9 - 34*g**4\/9 - 148*g**3\/9 - 56*g**2\/9 + 16*g\/3 = 0.\nAnswer: -2, -1, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 3*a**2 - 1708*a + 11 - 15 + 1811*a.\nAnswer: 3*a**2 + 103*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -37. Which is the closest to k? (a) 0.3 (b) 0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -9*n**6\/40 + n**5\/20 + n**4\/12 + 12*n**3 + 78*n**2. Find the second derivative of p(q) wrt q.\nAnswer: -162*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/3)\/2)\/(473\/18447)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-4))\/(13\/(273\/3)*42\/(-4))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**7\/105 + 7*o**6\/480 + o**5\/240 - 24*o**2. Determine w, given that t(w) = 0.\nAnswer: -1\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*n)*(-11 + 22 + 5).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/6*j**3 - 5*j**2 + 0 - 25\/6*j.\nAnswer: -5*j*(j + 1)*(j + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2 + k**2 - 4 + 3*k + 0*k + 2. Let x be i(-4). Solve b + 1 = -x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -60\/29 (c) 45 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441.9223l to millilitres.\nAnswer: 441922.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*i**3 + 21*i**3 + i**2 - 9*i**2 - 10*i**2 wrt i.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 13*l**3 - 9*l**2 + 59*l + 53. Is s(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 2*x + 33. Suppose 4*j + 8 = -5*k + 3, -2*j - 4 = 4*k. Let d be y(j). Let v = 35 - d. Let w(q) = -q**3 + 2*q**2 - 4*q + 3. Determine w(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-847)\/(-20328))\/((-1)\/(-114))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 3:03 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-3)*v)\/v))\/(v*v*v\/(v\/v**4)*v))\/((v*v**(3\/4))\/v**2)*((v*v\/((v**(1\/4)\/v)\/v)*v)\/v**(-3\/2))\/(v**(-1\/6)*v\/(v**(-5\/2)*v)) assuming v is positive.\nAnswer: v**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 27 = 47. Suppose 5*k + 3*x + 1 = -4, -36 = 4*k - u*x. What is the tens digit of (5 + k)*(2 + 225)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - -50 - (-17 + 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2. Let m be (-1198)\/(-18) - 12\/(-27). Suppose 0 = -4*u + 2*y - m + 253, 2*y = -2. Let k(s) = 3*s**2 + 47 - 93 + u. Calculate v(k(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 86408 * -0.1\nAnswer: -8640.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(((-513)\/(-38))\/27).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26002 + 26007. Let i = -3 + 8. Let p = 2 - -1. Solve -d - 2*d - i*a = l, p*d + a = -13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/7 and -97\/116026.\nAnswer: 812182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3214.01173 rounded to 1 decimal place?\nAnswer: -3214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*i**4 + 96*f*i**3 + 9*f*i - 2*f + i wrt i?\nAnswer: -24*f*i**2 + 576*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbs when three letters picked without replacement from {u: 1, k: 2, e: 1, b: 1, o: 1, s: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wawwwwwwfffwwwfa. What is prob of sequence wfw?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 449692 and 2698152.\nAnswer: 2698152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 5*k. Let n = k + 13. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.5 - -5.5. Let t = -389.7655 - -394.765402. Let q = t + x. What is q rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11292 - 4327. Calculate the least common multiple of m and 199.\nAnswer: 6965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3\/4 (b) -4 (c) 5\/6 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - 3131623?\nAnswer: -3131542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 90. What is the lowest common multiple of x(0) and 12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3539.9194 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 43, 129, 257, 427, 639?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-804)\/(-13065))\/(9\/10 + 3\/(-6)). Let n = -10 + -6. What is the fourth smallest value in -1, n, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = h - 17. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0500324556 rounded to 5 dps?\nAnswer: 0.05003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -132400 (base 6) to base 13\nAnswer: -5757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/9*(-39)\/(-52)*(-1 - -560160) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104*6\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12423*c**2 - 12423*c**2 - 168*c**3)*(-12*c + 103 - 103).\nAnswer: 2016*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(2\/17))))\/h*(h*h\/(h\/h**2)*h*h)\/h)**24\/((h**1)**(-35))**(13\/6) assuming h is positive.\nAnswer: h**(17815\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y + 4. Let g be 51\/(-12) - 1\/(8\/6). Does 3 divide x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let m be (-2)\/(-2 + (3 - 3)). Let t(p) = -4. Let i(s) = m*t(s) - a(s). Let w(f) = 0 + 1 - 2 + f. Calculate i(b) - 3*w(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2035*j**2. Let y(g) = 69*g**2. Let u(o) = -148*y(o) + 5*z(o). Let p(k) be the second derivative of -k**3\/6 + 2*k. What is p(u(x))?\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (480\/(-42) - -8) + (2 - -1). What is the closest to -9\/2 in -0.5, w, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 2\/11 (c) -4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 14 + 14 + 8 - 1 + 3*x. Let b be i(-11). Does 2 divide 1*b\/(-4)*4 + 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlxlxllnqqnzqlqln. What is prob of picking 1 q, 1 n, and 1 z?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -3, 4, 143 in decreasing order.\nAnswer: 143, 38, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738 is divided by 246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**3 - 13*g**2 + 4*g + 12. Let i be d(-9). Let n = i - -111199\/18. Calculate the common denominator of 1\/(-1) - (-99)\/8 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/(4\/(-48)*2). Suppose j + s = 5*o, -6 = 5*o + 3*j - 0. Suppose 5*c + n - 2503 = 0, -994 = -o*c - 2*c - 4*n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22251 smaller than -2158380\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*h - 6. Suppose -h*y + 2*q = -638, y + 2*q - 133 = 201. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 9:19 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-104))\/((-390)\/(-1040))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5245*h - 9308?\nAnswer: -5245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(528)*-5)\/(5*(sqrt(1331) - (sqrt(1331) + sqrt(1331)*-2))*2).\nAnswer: -5*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmvvmmmmm. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:06 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1466.99997785 - -1467. Round s to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let l(n) = -18*n - 113. Determine f(l(i)).\nAnswer: 18*i + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-9)\/(-3) - -2. Suppose -4*k - 5*q + 19 = n, -4 = -q + 5*q. What is the units digit of (-3)\/k - 65\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/7 - 286172*h**3\/7 - 10237374026*h**2\/7 - 40946062104*h\/7 - 40944917448\/7.\nAnswer: -2*(h + 2)**2*(h + 71541)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 60*u**3 - 171*u**2.\nAnswer: -u**2*(u + 3)*(u + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 31 + 181*w + 159*w + 26.\nAnswer: 340*w + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1020.\nAnswer: -1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4\/4 - 2667*s**3\/4 - 874233*s**2\/4 - 124552977*s\/4 - 1612951602 = 0.\nAnswer: -251, -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50.609, -1\/42, -0.1?\nAnswer: 50.609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 2*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3747 - 1231?\nAnswer: -5078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818092 is divided by 409040.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 250\/9 - 3*10\/(-135). Let r = w + -32. Suppose -9 = -z - 12. Put z, r, -2 in ascending order.\nAnswer: r, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.54 (b) 743 (c) -2 (d) -0.2 (e) -1\/3 (f) 1\/2 (g) 0.8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4212 times -244?\nAnswer: 1027728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8395452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -2 - ((-138)\/48 - -2). Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*g + 3*j, 4*j + 63 = -g + 71. Let 6\/19*o**3 + g + 4\/19*o - 14\/19*o**4 - 10\/19*o**5 + 14\/19*o**2 = 0. What is o?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c + d - 5, 3*d = c - 5. Suppose m = 5*u - 5099995, 3*u + m = c*m + 3059995. Round u to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -0.8, -4, 2, -3, 22, -62?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000093517 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.26 - -4.36. Which is the third biggest value? (a) 4 (b) j (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/762266?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 92.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112563 is divided by 859.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28, -29, -30, -31, -32?\n\"Answer: -n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/110*11*1\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/111542 or 0?\nAnswer: 3\/111542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69178*m**5 - 824*m**2 + 1961*m + 2730 wrt m?\nAnswer: -1383560*m**3 - 1648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -120?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 - 7*t + 16. Let u be p(7). Suppose 5*q - u = 9. Solve -2*s - 3*b - 21 = 0, -35 = q*s + 3*b - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.066 and -1.2028925?\nAnswer: -0.079390905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -3 - -26) + 35 + -13\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*-2*1. Let r be 0*((-3)\/(-6) + 0). Let u = 2 - 1. Put u, s, r in increasing order.\nAnswer: s, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.95878986 to four decimal places.\nAnswer: -0.9588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1111011?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -y + 1, 2*y - 5*c - 5 = -1. Let u = -0.7 + 0.6. Let f = -0.1 - u. What is the closest to 0.2 in -3\/4, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 0 - 0 - 7. Let l(v) be the first derivative of v**4\/4 + 10*v**3\/3 + 3*v**2 - v + 3. Is l(f) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.64141122\nAnswer: 0.32070561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/(2\/(-4)). Let z(k) = -k**3 + 7*k**2 - 3*k - 2. Let w(p) = -5*p**3 + 30*p**2 - 13*p - 8. Let d(r) = 2*w(r) - 9*z(r). Give d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20204.\nAnswer: 2, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16176 by -16685.\nAnswer: 16176\/16685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 538 + -532. Let v(i) = i**3 - 4*i**2 - 8*i - 2. Determine v(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 12*t + 20. Let y be u(13). Let l = 22 + y. Let k = 61 - l. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21230 and 15440.\nAnswer: 169840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875186 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**2 - 31*h - 17. Give y(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10858 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/118 and 13\/30?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 9:34 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -11*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j - 10*j + 14*j)*(-20 - 25 + 60).\nAnswer: -75*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:22 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 2. Suppose -2*j = -5*m + 2 - 7, -3*m + 3 = 0. Let t be v(j). Solve -1 - t = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272189 to the power of 1\/2, to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -44*n**3 - 9*n**2 + 4*n - 4. Let v(k) = 22*k**3 + 4*k**2 - 2*k + 2. Give 2*h(z) + 5*v(z).\nAnswer: 22*z**3 + 2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a hour in seconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = -24. Let n(x) = x**2 - 8*x + 8. Let q be n(s). Suppose -2*m - q = -3*y + y, y + m - 6 = 0. What is the highest common factor of y and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/1*(-49)\/(-49)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 6) to base 4\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 322435, 322428, 322421, 322414, 322407?\n\"Answer: -7*x + 322442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-6\/5)\/z))\/z)\/(z*z\/z**(-7\/5)*z*z) assuming z is positive.\nAnswer: z**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 351*v + 89 = -348*v, -5*p - 4*v + 102 = 0. Let k = 0 + 0. Suppose -4*n + 34 + 38 = k. What is the remainder when n is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1\/4*-8. Suppose 3*c + 39 = v*q, 2*c - 3 = -13. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*s + 4*b, b = s + 5*b - 23. Suppose 4*m - 4 = 4*g, -9 = 3*m + s*g - 0. Sort 2, 0, m in increasing order.\nAnswer: m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 3*f**2\/2 + 33*f + 30. Let k be l(-5). Suppose -4*z + k + 2 = 0. Solve z*d + 4 + 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**6 - 3078457*n**5 + 85337741*n**2?\nAnswer: 480*n**3 - 184707420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 162321 (base 9) in base 13?\nAnswer: 36769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 947, -4, 4, 6\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 760847576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 343325 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 317940*k - 10809958. Determine l(34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + l. Let b(m) = m**3 - 8*m**2 - 11*m + 6. Let j(v) = -2*a(v) - b(v). Let h be j(7). Calculate the greatest common divisor of 76 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 + 759*n**2 - 6612*n + 5856 = 0. What is n?\nAnswer: 1, 8, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d**5 - 280*d**4 - 1124*d**3 + 8*d**2 + 592*d - 160 = 0 for d.\nAnswer: -2, -1, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 9305321?\nAnswer: 9305279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 917250?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 10406 + 10 = 0. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.16 (c) 3 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60566748 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k + 5 = f, 0 = 2*f - 3*k + 15. Suppose f*c - 4*c = 8. Is 30\/3 - (c - -3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 4632.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 40*n**2 + 78*n + 72. Let l be f(-38). Sort l, -6, -2\/29, -2\/3 in descending order.\nAnswer: -2\/29, -2\/3, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 604 + -601. Let h(c) = -j*c + 2*c - c - 6*c. Let n(t) = 27*t. Calculate h(n(g)).\nAnswer: -216*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxxw. Give prob of picking 3 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2 - (-1 + 0)). What is the remainder when 45 is divided by 1\/(4\/128*x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842546*d - 846630*d = 371644 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k**2 - 13*k**2 - 9*k**2 - 19*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*-45.7\nAnswer: 45.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.8 + 5. Sort -0.01, -4, y, -2 in ascending order.\nAnswer: -4, -2, -0.01, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**4 - 6*k**3 - 6*k + 7. Let c(r) = -6*r**4 - 5*r**3 - 5*r + 7. Let m(p) = -6*c(p) + 5*t(p). Differentiate m(u) wrt u.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3036241 - 23?\nAnswer: 3036217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (-1 + sqrt(2736) + 4)**2)*4 - (-2 + (5*(sqrt(2736) - (sqrt(2736) + -1)))**2).\nAnswer: 336*sqrt(19) + 10957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 55*k**2 + 11*k + 37. Let y(g) = 22*g**2. Give l(y(p)).\nAnswer: 26620*p**4 + 242*p**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -884*o**2 - 32*o + 33. Give b(1).\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 3 = -d - 31*b, -3*d + 5 = -2*b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 68, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/61 (b) -0.9 (c) 8 (d) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*k = -605, -33*k = -5*a - 34*k - 1027. Let q = -199 - a. What is the remainder when 9 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -7*o**5\/20 - 3*o**2\/2 + 5*o. What is the first derivative of y(r) wrt r?\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -292*s**2 - 4671*s - 11. What is v(-16)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (8\/(16\/598))\/((-2)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from vejvqe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**4 - 14*g**3 - 10*g**2 + 2*g + 6. Let c(o) = -2*o**4 - 13*o**3 - 10*o**2 + o + 5. Let s(n) = 6*c(n) - 5*z(n). Find w such that s(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/4)*l**(1\/8)\/l)\/((l*(l\/(l*(l*l**4)\/l))\/l*l*l)\/(l*l**(3\/4))) assuming l is positive.\nAnswer: l**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (32 + -14)\/((-3)\/(-244))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*u - 2*k + 16, 10 = -u + 2*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3692\/5 - 739. Let s = -7 + 6.6. What is the nearest to 1 in s, n, 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x + 11*x + x - 2*x. Let r(o) be the third derivative of o**5\/20 + 4*o**2. Give v(r(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1757790136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**5 + w - 1. Let q(r) = r**6 + 2*r**5 - 5*r**3 - 53*r**2 - 2*r + 2. Let x(i) = -q(i) - 2*s(i). Find the third derivative of x(b) wrt b.\nAnswer: -120*b**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -30*u - 11. Calculate the remainder when w(-3) is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/13 + 78\/(-42). What is the nearest to -113 in -3, -2, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*k - 656, -4*h - 77*k + 646 = -76*k. Sort h, -9, -1 in increasing order.\nAnswer: -9, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17836 and -0.22.\nAnswer: -17836.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 39 - 86133\nAnswer: -86094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -29. Find the common denominator of 10\/(-4)*2 - (-580)\/110 and ((-88)\/(-28))\/(16\/z).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 209426 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.59324 nanoseconds in seconds?\nAnswer: 0.00000000359324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j - 3810 = -35*j. Let x = 762 + j. Solve o + x = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30.87, -0.5, 2 in descending order.\nAnswer: 2, -0.5, -30.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 - 11*a**2 + 9*a + 14. Does 19 divide u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r + 50. Let n be g(-5). Suppose 15*o - 20*o - n*i = -20, 2*i = -4*o + 12. Solve 0*v + 6 = o*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -223 + 11?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 7*s**2 - 10*s - 4. Let c be i(-8). Let z be 1\/(-4) + 63\/c. Suppose -18 = -6*p - 0*p. Solve z*q - 7 = p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 3*q + 3. Let m(l) = -3*l**2 - 6*l + 5. Suppose 56*d + 65*d - 102*d = -57. What is d*m(i) + 5*n(i)?\nAnswer: -i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -2020, -4, -21 in decreasing order.\nAnswer: 9, -3, -4, -21, -2020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*n**2 + 9*n**2 - 13*n**2 + (2*n - 4*n + 3*n)*(4*n - 3*n + 0*n).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:45 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*t - 87 = -2*t, -4*t = 4*r - 324. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*10\/1400 - 2198\/(-4410)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11877.\nAnswer: 3, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 - 3*z - 7. Give f(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 836000.\nAnswer: 3\/104500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 53, -6 in decreasing order.\nAnswer: 53, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11659, -11662, -11665, -11668?\nAnswer: -11671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 92 + (37 - 1 - (205 - 179)) - 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.717 - -0.317. Which is the third smallest value? (a) r (b) -1\/19 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/562040 and -19\/160?\nAnswer: 2248160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + (-16 - -11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**4 - 89*j + 179*j - 1 - 87*j in the form y*j**2 + w + v*j**3 + q*j**4 + s*j and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 less than -0.66?\nAnswer: -80.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 5. Let u be q(-2). Suppose 0 = -2*y - u - 3. Does 15 divide y - (72\/54)\/(4\/(-138))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3093 - -9732. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + b - 1. Let v be s(-2). Let g = -9 + v. Put -4, 4, g in increasing order.\nAnswer: -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447496, -893836, -1340176, -1786516, -2232856, -2679196?\nAnswer: -3125536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 58 - 2\/1. Let i = 125 - h. Calculate the remainder when i is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2302140913?\nAnswer: 53, 1823, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 > -3.94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5*-6*52\/(-39) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(6\/255*5 - 168\/272)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 360 = -6*f. Let q(l) = 10*l. Let m(b) = b. Let s(n) = f*m(n) - 4*q(n). Let p(v) = -9*v**2. Calculate p(s(k)).\nAnswer: -225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5752.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m + 57*m = 110*m - 18, -3*m - 38 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31446.\nAnswer: 2, 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 30*x**2 - 62*x - 74. Let l be i(32). Sort -5, l, 61.\nAnswer: l, -5, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28122 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:53 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h. Suppose 2*c + 2 - 12 = h. Let g(m) = m + 1. Let l be g(c). Solve 4*r = k + k - 12, 2*k = r + l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-63) - (-4)\/18. Suppose -4*f + 0*f + 8 = o. Suppose 3*k - 44 - 12 = -5*c, -c + 4*k = -f. Solve c = -3*q + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 529 in 21, 3, -3\/2, -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1880 and 6862?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9 + 265 = 0. Calculate the remainder when o is divided by (-130)\/5*2\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.1 (c) -8 (d) 60965\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-26))\/((1 - 1) + 1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.98 + 29. Let h = l + -14.42. Round h to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61937 times 161?\nAnswer: -9971857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 10*m**2 - 193*m + 1281. What is the remainder when 407 is divided by g(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1019475 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - h**3 - 4*h**2 + 4*h**2 + 4. Let c be r(-4). Suppose 4*q + 2*m - c = 0, -7 = -q + 4*m + 7. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 588, -1\/2, -2\/5, 9.5?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 4*k**2 - 3. Suppose 0 = 4*q - 0 + 16. Let d be s(q). Is -3 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -5. Let m = f + -1. Solve 0 = 5*b - 10, -m*b = 7*c - 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 163836 and 248788?\nAnswer: 6717276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**3 + 2*r + 5. Let y(u) = -6*u**3 - 2*u - 4. What is 4*i(t) + 5*y(t)?\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1053*j + 1052*j + 1.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100962989 and 12856?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 120*i**3 + 65*i. Let d(p) = 24*p - 19*p - 11*p - 11*p**3. Suppose 4*o - 3*h + 27 = 0, -3*o + 3*h = -0*h + 21. Give o*r(c) - 65*d(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = -0*b. Suppose -l + 2*l = -b. Let h = 8 - l. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*r**4 + 28*r**4 + r**2 + 34*r**4 wrt r.\nAnswer: 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + 2 - (-13 + 32 + (-15 - -6 - 5))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2610850 and -89\/2373500?\nAnswer: 26108500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720501 is divided by 240159.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 - 6*j**2 - 3. Let f(l) = 11*l**3 - 17*l**2 - 8. Let r = 88 - 91. Give r*f(k) + 8*h(k).\nAnswer: -k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.027291 - -10.\nAnswer: -0.027291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -29*z + 4. Let m(n) = -10*n + 1. Let r(t) = -6*b(t) + 17*m(t). Let j(f) = 3*f - 6. Determine 6*j(o) - 5*r(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - (-514)\/14. Let l(q) = q**2 - 6*q - 8. Let j be l(8). Let k be (-444)\/j*(-4 - (-1 + -1)). What is the greatest common factor of r and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 + 556*r**2 - 170784*r - 2673360 = 0. What is r?\nAnswer: -282, -15, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/15)*g)\/g*((g\/g**6)\/g)\/g)\/(g**(-2\/5)\/(g**(-2)\/g)) assuming g is positive.\nAnswer: g**(-128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -29\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 5)*(-4 - 1 + 3)*(1 - 8*s - 1) + (-89 - 3 - 1)*(-s + 0 + 0) - 2*s + 2 - 2.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.017 * -1081825.\nAnswer: 18391.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -71\/2. Let k = b - 10\/7. What is the common denominator of -37\/6 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712*w - 2257*w - 4*w**2 + 902*w + 643*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01977 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 12*m**2 - 10*m + 1. What is c(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.41, -0.1, 0.4, 2, 8\/7, 1\/133?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxcx when four letters picked without replacement from {x: 14, c: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231*(2*1\/(-2))\/(-3) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 - 177 - (2 + -1) - (12 + -1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, g: 1, w: 4}. What is prob of picking 1 w and 1 t?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a)**35*a\/a**(-11)*a\/a**(2\/13) assuming a is positive.\nAnswer: a**(167\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - 26. Let f = c - -85. Let n(s) = 8*s**3 - 5*s**2 + 5*s. Let o(h) = 9*h**3 - 6*h**2 + 6*h. What is f*n(g) + 5*o(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1134043243 + 1?\nAnswer: -1134043242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 1. Let x(z) = -2*z + 1. Let k = -80 + 85. What is k*x(n) - 4*t(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**4 + 18*w**3 + 51*w**2 - 18*w - 48 = 0.\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 24 = -9, -4*f + 26 = 3*z + 37 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30042 and 0.9.\nAnswer: 27037.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15048 is divided by 4516.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -327*v**2. Let j(x) = -147*x + 1. Give j(n(c)).\nAnswer: 48069*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15\/2 (b) 10 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 12. What is the smallest common multiple of s(-39) and 60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 814 - 814 - 74*a + 724*a - 5392*a to the form t*a + u and give t.\nAnswer: -4742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u - 10. Suppose -2*w - 1 + 3 = -2*y, u*w = -2*y - 16. Let j(a) = a + 1 - 3*a - 3. Determine j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -4*w - 117. Let s(m) be the second derivative of 7*m**4\/12 - 23*m**3\/6 + 11*m**2\/2 + 5*m. Is s(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2995422 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1184 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*501\nAnswer: 50.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 3*a**3 + a**3 + a**3 + 4*a**3 - 3*a**3 + (1 + 2*a - 1)*(2*a**2 - 2*a**2 + 2*a**2) - a + 3*a**3 + a + 0 + 0 + a**3 - 3*a**3 + 5*a**3 + 0*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511126307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-3 + -2 + -2 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from rrqrrrqrrqqrrr.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02498 - -0.02501373. What is r rounded to 6 decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1184 = -38*m + 30*m. Does 37 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/18 and 89\/2432?\nAnswer: 21888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -14*i**2 + 2*i + 1867. Let o(m) = -14*m + 1. Give 7*o(r) - 3*w(r).\nAnswer: -14*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 98, -0.5, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/5 + 77652*c\/5 - 198607552\/5.\nAnswer: 4*(c - 2288)*(c + 21701)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/3 - 2\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 667\/9. Let m = 1109 - 1109. Which is greater: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -55724?\nAnswer: -55728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(2*r**3 + 0*r + 0*r)*(-688*r**2 + 1189*r**2 + 562*r**2).\nAnswer: 4252*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*s**2 - 256*s**2 + 201*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - sqrt(250)\/(sqrt(40)\/sqrt(4)))\/(sqrt(320) + 1*sqrt(320) + sqrt(320)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 4*d. Let y be j(3). Suppose y*t = t. Suppose 2*l - 4*l + 4 = t. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3125899888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (2 - 0 - -80). Suppose 2*q = -2*z + 4*q + s, z = -q + 48. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*u + 38 = -0*j, -3*u = -5*j + 95. Differentiate -82 - 90*y**4 - 28*y**3 + 9*y**3 + j*y**3 with respect to y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31259\/4, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 398 or 399?\nAnswer: 399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*c + 101*c + 803 - 3413 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 31 = -i, -3*i + 1 = 3*h - 38. Calculate the lowest common multiple of h and 2*(-2)\/(-8)*(-60)\/(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24 and 2215.\nAnswer: 2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 0*v - v - 22 - 29. Let p be n(0). Let q = -21 - p. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1194)\/(-796)*(-14)\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -553 or 0.04?\nAnswer: -553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 2*y + 63 = 0. Let d(o) = -762*o + 1. Is d(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 8.6. Let m = -5 + t. Which is the smallest value? (a) m (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4200001 (base 5) to base 3\nAnswer: -10111022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 731.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420476141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 26475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3636, -10770, -22662, -39312?\n\"Answer: -2379*i**2 + 3*i - 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 5 (c) -0.129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 82, 123, 164?\n\"Answer: 41*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-30))\/((-11)\/(-66)*-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/9)\/(-177*86\/(-182664)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/6 + 168715\/(-17835).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618 divided by 7.\nAnswer: -618\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -2, -8.93, -0.3, -6, 0, 0.56?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-8)*(-30)\/3 - -2. Suppose 6*v - 9*v + w = 0. Suppose -v = -11*d + 57. Let m(b) = -b**3 + 6*b**2 - 7. What is m(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*1\/2*-1. Let c = 23 - 23. Suppose -4*z + n + 28 = c, -3*z = -s*z + 3*n - 36. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 8 - -1*3. Let m = 7 + -5. Solve f*w - 40 = -5*z + w, m*w - 30 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-48)\/(-4)))\/(2\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 23*t + 104. List the prime factors of f(19).\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -12*f**3 + 3*f**2 - f - 5. Let p be y(-2). Let r = -103 + p. Solve -r*v = 3*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Let h(r) = -r**2 + r + 2. Let s be h(w). Factor -2\/7*c - 2\/7*c**s + 0.\nAnswer: -2*c*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11024560 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274752720?\nAnswer: 2, 3, 5, 11, 113, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3, 3, 0 in decreasing order.\nAnswer: 3, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1890 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 8. Let x be h(3). Suppose -5*f + 3*u = -0*u - x, -4*f + 4 = 3*u. Let t = 44 - f. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/5))\/b)**(3\/14))**(7\/6)\/(((b**6\/b)\/(b\/(b*(b**6*b)\/b)*b))\/(b**(-1\/3)*b)**(17\/2)) assuming b is positive.\nAnswer: b**(-257\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7600\/(-1200)*(-30)\/1615.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 10*u - 776. Let b = -85 + u. What is the highest common divisor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96951 is divided by 3127.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 4*s**2 - 2*s - 5. Let z be v(-4). Let o(t) = t - 2*t + 0 + 5*t - 3. List the prime factors of o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:26 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**3 + 3*v**3 + 16*v**3)*(-1 + 5 + 3)*(2 + 1 - 10)*(1 + 2 - 7) in the form i + j*v**3 + t*v**2 + s*v and give j.\nAnswer: 3724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2302 is divided by 1050?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f + 65. Let s be r(-23). Suppose 262 = 5*v + 4*i, -5*v = -0*i - i - s. What is the least common multiple of 63 and v?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**3*w**4 + 10*s**3 - 2*s**2*w + 9*s*w + 1121*w**4 wrt w.\nAnswer: -24*s**3*w**2 + 13452*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 159*y**2 - 26*y. Let q(f) = 32*f**2 - 5*f. Calculate 2*o(d) - 11*q(d).\nAnswer: -34*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99615 or 103158?\nAnswer: 99615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + (-1710)\/(-36). What is the second derivative of -24*u**4 + 135*u**4 - d*u + 42*u**2 - 42*u**2 wrt u?\nAnswer: 1332*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 1. Let y(m) be the third derivative of m**5\/60 + 5*m**4\/24 + m**3\/3 - 4*m**2. Let u(j) = -2*k(j) + y(j). List the prime factors of u(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-8)\/10)\/((-2)\/5) and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146663466 + 146663466 - 1835*a**2 - 860*a**2.\nAnswer: -2695*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393824858 to the power of 1\/3, to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 10*v**2 + 3*v - 10. Let u be k(-8). Let g = 657\/7 - u. Which is the nearest to 0? (a) 5 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 26\/(-22))*-1. Let p = -18 + 15.7. Let g = p + 2. What is the closest to j in g, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.25 + 3.355. Let a = w + 207.895. Is a less than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8607773.\nAnswer: 23, 271, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i + 10*i + 6*i - 19*i + 5*i. Suppose 5*m - 4*g = 1, 0*m + 19 = -m - 4*g. Let b(c) = -8*c. What is m*o(x) - 2*b(x)?\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5713*a - 21. Give v(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = d + 2, 4*d + 0*x + 3*x - 14 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67667 and 0.7.\nAnswer: -47366.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*s**3 - j**2*s**2 - 5*j**2*s - 19*j*s**3 + 17*j*s wrt s.\nAnswer: 6*j**2*s - 2*j**2 - 114*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4134203 is divided by 81?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*s = -81*s - 5*v - 10, 5*s = -2*v - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = -w, 2*w = 3*g - 3*w - 7. Let x(q) = 2*q**2 + 3*q - q - 5*q - 9. What are the prime factors of x(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z**5\/13 + 489644*z**4\/13 - 3154766*z**3\/13 + 815764*z**2\/13 + 3154784*z\/13 - 100416 = 0. Calculate z.\nAnswer: -1, 4\/9, 1, 6, 27196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:14 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = 5. Suppose 0 = -h*b + 2*b + 12, 0 = -5*f - 2*b - 154. Let i = 59 + f. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044027 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -519 + 581. What is the highest common factor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*j - 43*j + 245. Put -0.2, 5, j, 2 in descending order.\nAnswer: 5, 2, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 divided by -1?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*l = -449 + 435, 10 = -5*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26012952851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00084452004 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547783299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 217.3412um?\nAnswer: 0.2173412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - b - 1, -m - 26 + 9 = 3*b. Let o(z) = 4*z**3 + 10*z - 2. Let c(a) = -1. Calculate m*c(r) + o(r).\nAnswer: 4*r**3 + 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13928 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -15.9432. Let i = p - -0.062. Round i to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17208 + -6460. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1386 = -3474. Let y be ((-60)\/(-18))\/((-88)\/l). Let u = 600\/11 + y. What is the common denominator of 83\/4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2 = 22. Suppose 24 = 3*s - 2*s - 3*k, 4*k = -q*s + 158. What is the remainder when s is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/5)\/(5 + 2 + -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n - 7*n**2 + 2*n**3 + 463861 - 463861.\nAnswer: n*(n - 4)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 8*y + 99*y.\nAnswer: 116*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.1*0.111324.\nAnswer: -5.5773324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 1\/3, -7 in decreasing order.\nAnswer: 1\/3, 0.04, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915.5193 nanoseconds to seconds.\nAnswer: 0.0000009155193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11253827?\nAnswer: 13, 29, 29851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 15 + (-45)\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -539.\nAnswer: -5\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194910371.\nAnswer: 194910371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 19*x**2 + 2*x. Let o be w(-2). Suppose -6 = 3*h - 21. Suppose 4*j - 21 = -h*y, -2*y = 2*y + 12. Calculate the highest common factor of o and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**5\/12 - 2*b**2. Let k(t) = t. Determine v(k(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*q + 21 - 291 = 66 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.24 + -0.16. Let h = -7 - t. What is the second biggest value in 1\/5, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -363, -362, -361, -360, -359?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.047 in -2\/15, -2, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2357*x**2. Let m(q) = 15*q - 7*q**2 + 20*q - 77*q + 42*q. Calculate m(o(z)).\nAnswer: -38888143*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**5\/20 + 7*d**4\/12 + 11*d**3\/6 - d**2 + d. What is the remainder when b(8) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-3)*r)\/r)\/r)**(-5\/3)\/((r*r**(-1)\/r)\/r**7))**(-21\/8) assuming r is positive.\nAnswer: r**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 + -59. Suppose z - 5 = 2*g. Find the third derivative of -q**2 + 18*q - 2*q**3 - g*q wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - 3\/(42\/(-266)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -136. Suppose -2*n = r - 75, -2*r = -6*r - 3*n + 285. Suppose -5*f - s + r = s, 2*f + 5*s = 36. Solve -i*a + f = 38 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 5. Sort w, -1, -0.06, 5 in decreasing order.\nAnswer: 5, -0.06, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46761 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 12*v**2 + 8*v - 7. What is p(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*q = 269965 - 89047. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1530 + -912. Let m = w - 618.4. Which is the closest to 8? (a) 0.2 (b) m (c) 0 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16072*r**3 + 11630*r wrt r?\nAnswer: 96432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -245 - -278. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 9*m**2 - 2*m - 13. Let n be x(-9). What is the smallest value in n, -3\/8, 0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.8186 - 10.8186. Let w = -0.7 + -0.3. Which is the closest to -1\/4? (a) u (b) 7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (102\/8)\/(1*9\/24) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 2*k + 13. Calculate c(-11).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, -151, -618, -1517, -2992, -5187?\n\"Answer: -24*n**3 - 11*n + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -24288 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/2 of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 > 1371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 divided by 210?\nAnswer: 65\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c**2 + c. Let j(u) = 2*u**3 + 3*u**2 + 10. Let m(n) = a(n) - j(n). Let y be m(-5). Let b(z) = -z**2 + 8*z - 9. Let l be b(y). Is l > -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3276281946 to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6707*o - 6727*o + 180 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 44792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/60 - 24*i**2. Let u(x) = -2*x. What is m(u(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1210054235 (base 6) to base 12\nAnswer: -471a37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/1*2. Let i be 4 + c + 3 + -2. Suppose -3*f + i*f - 49 = 0. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*v + 7*v + 249 + 34*v + 42*v wrt v?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 12) in base 11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 650 times 1\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 54*d**3 + 3*d**2 - d + 1. Let c be z(2). What is c rounded to the nearest ten?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17056123 to the power of 1\/2, to the nearest integer?\nAnswer: 4130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1002 - -1401?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41.131 + -812853\nAnswer: -812894.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -1574.\nAnswer: 37776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c - 4*h + 29, 3*c + 10 = -4*h. Let x(p) = -2*p. Let j be x(c). What is the greatest common divisor of 72 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001236494 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188056 and 75128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*1*sqrt(336))\/(-1*sqrt(112) + sqrt(112) + sqrt(112)).\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 918756 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650329707 a multiple of 971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) 5 (c) 0.3 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 19*h - 9. What is t(12)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191142557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awxavaxocxxv. What is prob of sequence xc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/127364 and 76\/61863.\nAnswer: 463477596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 20. What is the lowest common multiple of 12 and m(11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1425850000.3 and 0.3?\nAnswer: 1425850000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -483*x**2 + 4*x. Let g be b(-1). Let q = g + 825. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 5*b**2 - 7*b - 3. Suppose -4*l = -2*l - 12. Give g(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 1. Let x be b(-5). Let l(g) = -563*g + 0 + 0 - 542*g + 1106*g. Determine l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63028618489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 158 (b) -4\/45 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3885 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62944 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188*x + 31894 = -182 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16208424 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**16*l**(-15))**(1\/5))**(-13\/7) assuming l is positive.\nAnswer: l**(-13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -671 + 250. Let u(y) = -9*y**2 - 168*y + 87. Let j be u(-25). Let t = q - j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:15 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256321258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10422 (base 7) to base 11\nAnswer: 1a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 98. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + 2*p**3)*(-p + 0*p + 0*p) - 143*p**4 - 319*p**3 + 319*p**3.\nAnswer: -145*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5575*n**2 - 11066*n**2 - 6348*n**2.\nAnswer: -22989*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-585)*195 - (-96)\/2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159020621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14243498530 plus 0.7?\nAnswer: 14243498530.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and 494.51.\nAnswer: 9395.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 6*i + 6*y + 252, 12*i - 8*i + 4*y + 168 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36.83 and 0.102.\nAnswer: 36.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20614 is divided by 109.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28053861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 3. Let r = 3.9 + w. Which is the smallest value? (a) r (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13642*-13008.\nAnswer: 177455136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + sqrt(320) - sqrt(320) - sqrt(320) - sqrt(320))**2.\nAnswer: 128*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*n + 92 - 8 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -1\/20*g**5 - 1\/2*g**3 + 0 + 2*g**2 + 1\/24*g**4 + 0*g - 1\/120*g**6. What is r(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2205, -4, 0 in decreasing order.\nAnswer: 0, -4, -2205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 268421*j + 1. Let f be s(19). Round f to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186 - -185.993. Let t = -1.007 - p. Let n = 3.3 + 6.7. Which is the closest to t? (a) n (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3716 + -3709 + (-23 - (1 + 0))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2)\/((-2)\/26). Let q(h) = -178*h + 16. Let n(z) = -79*z + 9. Let o(v) = 9*n(v) - 4*q(v). Give o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*z - 8*z. Let j be 25 - 2 - -2*z. Suppose -241*g + 80 = -225*g. What is the greatest common divisor of g and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1505574.19979 - -1505585. Let w = m - -0.01179. Let z = w + -11. Round z to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by 3.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 40. Let i = 17 + -16. What is the units digit of r + 7 + (2 - i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5\/7 + 242*j**4\/7 + 6798*j**3\/7 + 8506*j**2 + 164176*j\/7 + 140760\/7 = 0.\nAnswer: -85, -23, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 5*p - 6. Let k be l(-6). Let f = 17294\/12975 + 2\/4325. Which is the closest to k? (a) -5 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/4 - 19395*z**2\/4 + 31376241*z\/4 - 93954249\/4.\nAnswer: 3*(z - 3231)**2*(z - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/420478 or 1?\nAnswer: -1\/420478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**40*z)\/z)**(-29)*z**18\/z*z*z**40)**(-4\/25) assuming z is positive.\nAnswer: z**(4524\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Suppose 0 = m*s + 5*i + 8, -s + 5*i + 24 = -0*s. Let a(c) = 1. Let d(u) = -u + 5. Calculate s*a(p) - d(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -2041104?\nAnswer: -2041043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 - -5) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -10. Suppose -a*t = -4*v + 2*t + 9, 3 = t. Solve -2*z + v = -0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37850 is divided by 9446?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151376145.\nAnswer: 5, 41, 5616469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - (-32 + -13 + 26 + 26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 2 = -9*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1036911 + 4159592?\nAnswer: 3122681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 0.04, 0, 157, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)\/q)\/(q*q**(10\/3)))\/(q**(-5\/7))**(-50) assuming q is positive.\nAnswer: q**(-925\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 2\/(-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -113453, -227061, -340657, -454235, -567789, -681313, -794801, -908247?\n\"Answer: z**3 - 113615*z + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -333420721 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**5\/60 - b**4\/4 + b**3\/3 - 3*b**2\/2 - 4. Let w(r) be the second derivative of z(r). Give w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8724437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 - 48. Let j be 0 + -5 + v\/13. Let f = j - -8. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, 1 v, and 1 y when four letters picked without replacement from yjyjyxkyyjkvzyykvj.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2*1\/(-8)*42). Let t be 10\/28*((-141)\/(-195) - (-10)\/130). What is the closest to h in 4, t, -7\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-11 + -12) - 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01892 plus 69?\nAnswer: 69.01892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (-75)\/(2550\/(-1496)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011101100 + 1?\nAnswer: -10000011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from pfzzj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {o: 4, i: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 19*r - 37. Calculate the remainder when 147 is divided by p(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/4))**27 assuming n is positive.\nAnswer: n**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393376 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004527497513 to 7 dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, a: 5, c: 2}. Give prob of sequence hcch.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 36*u - 6*u**3 + 35*u + 11*u**3. Let c(f) = f**3 + f**2. Let s(d) = 6*c(d) - 3*k(d). Find the second derivative of s(j) wrt j.\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 19751250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*x - 678 = 106 + 107 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 43. Let m be (1084\/(-30))\/(4\/v). Let x = 54 - m. What is the third biggest value in 1, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368 = -6*o - 23*o + 6*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61\/10 - 33\/5. Let d = -2 - 2. Let h = 0.7 + -1.7. What is the closest to h in v, d, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yccy when four letters picked without replacement from ccyyyyyyyyccyyyyyy?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - x - 13. Let k be u(-3). Let w(p) = 5*p - k + 3*p - 17*p + 10*p. Let n(d) = d**2. What is w(n(g))?\nAnswer: g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - 232\/(-24))\/(1\/3). Let x(w) = 1 - 16 + 8 + j + w. Suppose 0 = 3*c - 2*c. Calculate x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.91 - 73.97. Let g = 128 + j. What is g rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = -0*v. Let t(u) = -3*u. Let z be t(-1). Let p be (4 + (z - 6))*0. Solve -v*a - 19 = 5*c, 3*c - 3*a + 6 = -p*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d - 14. Give f(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**2 + 0*z**6 + 0*z**5 + 0*z**3 - 3\/56*z**8 + 0 - 4*z + 0*z**7 + 13\/12*z**4. What is the third derivative of l(a) wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4497 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-90)*(-4)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {x: 3, r: 4, h: 1, g: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -12)\/((-4 - 1) + 4). Is -13 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-4\/23)*g**(-2)*g\/(g*g\/((g**(-2)\/g)\/g)) assuming g is positive.\nAnswer: g**(-169\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/3 + 1)\/((-28)\/(-336)*4). What is the greatest common divisor of l and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 580001299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -6. Let z = 86.5 - 87. What is the closest to h in -1, 2\/7, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 4*t + 16, 1475 = -c + 2*t + 1470 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bacac. What is prob of picking 1 c and 1 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*f**2*p**2 - 963*f**2 - 829*p**2 + 11*p wrt p?\nAnswer: -22*f**2 - 1658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 times 332310?\nAnswer: 74105130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31305721 to the power of 1\/2, to the nearest integer?\nAnswer: 5595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2017*-4.27\nAnswer: -8612.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 25*z**2 - 9*z - 32. Is x(8) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*r - 56 + 38, i + 4*r = 6. Factor i*m**2 - 1 + 3\/2*m + 7\/2*m**3.\nAnswer: (m + 1)**2*(7*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10337 divided by -391?\nAnswer: -10337\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 299030 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 - 5*k - 8. Let l be v(-5). Let r = 307 - l. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 22*r**2 - 9*r + 240. Determine c(22).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*t + 59*t + 62*t + 53*t + 52*t - 282*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 37 = 27. What is the greatest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 2*v**2 + 4. Let z be p(0). Suppose -5*h + 10 = c, -z*c + 66 = -c + 3*h. What is the greatest common factor of 275 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/((-28)\/40))\/(-2). Suppose j*z - 4*z - 8 = 0. What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c + 3. Suppose -4*n = n - 4*p - 5, 5*n - c = -4*p. What are the prime factors of 2*(n + 0) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.23 - 0.23. Let a = 35 + k. Let f = -44 + a. What is the smallest value in f, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*n**2 - 39*b - 27030*n**2 - n - 112 wrt n?\nAnswer: 2*b - 54060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2937 and 210129?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*s**2*t**3 - 21*s**2*t**2 - 44*t**3 wrt s.\nAnswer: -22*s*t**3 - 42*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 20*x - 23*x = -15, -5*x = -25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2 - a + a**3 + 3 - 3 + a**2. Let n be z(-2). Let d be 2\/(-4)*(n - -2). Which is smaller: -6\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000597986 rounded to 7 decimal places?\nAnswer: 0.0000598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -52. Which is the closest to -0.3? (a) f (b) 44 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 15290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-6 + (5 - (6 + -8 - -33)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1631\/64 or -3\/41?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1 - 2) + 0)*0. Suppose i*h + 3*h = 0. Let f = 54.6 - 55. Which is the third smallest value? (a) f (b) h (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 752 and 8.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8*w - 37 = -2*y, w - 1 = 0. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -275\/7 - -39. Let s be (-11)\/66 + 1\/(-6). Which is the second smallest value? (a) s (b) r (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nabfb. What is prob of sequence ab?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 39*t + 92. Determine x(-36).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 (base 7) in base 15?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 bigger than 771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyiyxdxxxdydx. Give prob of sequence yi.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/60 - b**4\/2 - 5*b**3\/2 + 8*b**2. What is the tens digit of x(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -972\/1205 - -98\/241. Suppose -5*x - 15 = -110. Let k = -35 + x. Which is bigger: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70347, 70354, 70365, 70380?\nAnswer: 70399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -28 - (-46 - -21) - (-82)\/24. Let y(s) be the second derivative of 0 + 0*s**2 - 5\/6*s**3 + 8*s + g*s**4. What is i in y(i) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1576*p**2 - 451*p - 4. Is s(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 593404*r**3 - 868706*r**2 wrt r?\nAnswer: 3560424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**5 - d**4 - d. Let h(p) = 3*p + 5*p**4 - 4*p**4 + 0*p**3 - p**3 - 4*p. Let b(w) = -2*h(w) + 2*x(w). Factor b(c).\nAnswer: 2*c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**3 - 79*y**2 + 334*y - 91. Determine s(6).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2245.3363 + -40\nAnswer: -2285.3363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2*(3850\/60)\/(-35))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**(-1\/44)\/(o**(-3)\/(o**1*o)))**41 assuming o is positive.\nAnswer: o**(4551\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 199*h**2 - 220*h. Let q(u) = 100*u**2 - 110*u. Let l(f) = -3*b(f) + 7*q(f). What is the second derivative of l(r) wrt r?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417925 is divided by 1050?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 20 + 15 = -3*l - 49, 0 = -2*s - 5*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r - 364. Determine y(23).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(2\/5)*p))**(-2\/65)*p**(-6)\/(p*p*p*p*p\/p**(-9)))**(-45) assuming p is positive.\nAnswer: p**(58464\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 57388.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63134 - 63003.868. Let a = 335 + -205. Let k = a - j. Round k to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 39. Suppose 0 = f*y - 438 - 1025. Does 82 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2)*9\/126.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213610 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*sqrt(2)*2 + 4.\nAnswer: 6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(13\/6))**(-10\/9) assuming y is positive.\nAnswer: y**(130\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/2*(-16)\/20. Solve 0 = 4*f + 14 + w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 203098 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -513224*d**2 - 2*d - 2. Let b be s(3). Let p = 3223259 + b. Let t = -675765 - p. Round t to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1208 + -1203. Sort 86, c, -4.\nAnswer: -4, c, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58877\/8622 + -51\/479. Calculate the common denominator of p and -8\/339.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 + -0.04. Let y be (-3)\/(-2) + (-2)\/(-4). Does t = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 18*b**2 - 4*b - 14. Suppose 35 = 10*u + 215. What is the units digit of l(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548 (base 14) to base 2.\nAnswer: 10000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 121715230 divided by 826\nAnswer: 147355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 157265665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 21. Let l(r) = r**2 - 4*r - 1. Let m be l(n). Let d = 36 + m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1800 + r**2 + r**2 + 1794 - 8*r. What is the least common multiple of (-2)\/3 + 56\/21 and c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 93 = -4*s, -3*k - 15 = -2*k - 4*s. Let i = -542 - -547. Sort k, i, -3 in ascending order.\nAnswer: k, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5573 (b) 4 (c) 5 (d) -1\/8 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*155\/(-32364))\/((-30)\/(-16))?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*p + 4*p - 2*p)*(-3 - 1 + 2) + p - 2*p - p + 2*p - 2*p + 2*p + (2 - 4 + 0)*(-2*p + 1 - 1))*(-12*p + 12 - 23 + 9).\nAnswer: -96*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7108769 kilograms in grams?\nAnswer: 710.8769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 20. What is the second derivative of 4*i**4 - i**4 - i + i**h wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/9, 19, -15, 7, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is -135515433 <= -135515434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/20 - 3\/5. Let f = 17\/30 + -1\/6. What is the closest to f in -1\/3, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glr when three letters picked without replacement from {r: 1, g: 2, l: 4, f: 3}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -421, -334, 2, 9, 3, 4, 1 in ascending order.\nAnswer: -421, -334, 1, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 7*h = -a - 14, 5*a + 3*h + 19 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 211*o - 10536. Determine u(50).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2257873.5 months to millennia.\nAnswer: 188.156125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/9)*l*l**0*(l*l\/l**1)**(-18\/5)*(l**(1\/2)*l*l*l**(-9)\/l)**(1\/19) assuming l is positive.\nAnswer: l**(-5881\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 2*j + 2*j)*(3 - 2*j**3 - 3 + (0 - 1 - 2)*(4*j**3 + 0 + 0)) to i + q*j**3 + o*j + k*j**4 + r*j**2 and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzmrzzzkzmzmmmzzz. What is prob of sequence mm?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/5*(43 + -3). Suppose -q = 2*q - l. Suppose 4*g - q - 40 = 2*f, 53 = 3*g + 4*f. Solve -4*r + r = g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/7)*u\/(u\/(u*(u*u**(-7))\/u)))**(-4\/41)*(u\/u**(1\/3))**(-12\/11)*(u**(1\/3)\/u)**(6\/23) assuming u is positive.\nAnswer: u**(-584\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34574270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2555852185.\nAnswer: 5, 293, 1744609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-14))\/((-87)\/406). Let v be 110\/25 - d*(-1)\/(-10). Suppose -v*x - 19 = -r - 2*r, -13 = -r + 3*x. Let c(n) = 6*n - 1. What is c(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12.86669 from -710.\nAnswer: -697.13331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -496 - -495.9. Which is the nearest to n? (a) -3\/7 (b) -48 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 693 + 12. What is the remainder when l is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18035 divided by 5\nAnswer: 3607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458059 is divided by 30436?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w**3 - 4*w**2 + 3. Let i be p(-5). Let l be i\/6*(-3)\/(-5). Let z = -78 + l. Which is the biggest value? (a) z (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, -15\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -55*b**2 - 36*b**2 + 0*b**2. Let f(m) be the first derivative of -m**2 - 40830. What is y(f(g))?\nAnswer: -364*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*n = -153, 4*u + 0*n = -2*n + 138. Let h = 17 - u. Let r be 200\/h*(-3030)\/4. What is r rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*25 + (1 - 1). Let d = -9 - u. Suppose 7 = -m, -5*n = -2*m + 67 - 91. Calculate the greatest common divisor of n and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8182 + 8185)\/(-2*1\/46).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-2*h + 5*h + 12*h)*(0 - 3 + 1)*(-19*h + 64*h - 6*h).\nAnswer: -2340*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, -151, -339, -603, -943, -1359, -1851?\n\"Answer: -38*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -81*t + 64 + 27, 0 = t - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 0 - ((27 - 24) + 9)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253991971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -777*k + 115*k + 478*k**2 + 6 - 6 wrt k?\nAnswer: 956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 23 = -3*f, 2*k + 15 = 5*f - 14. Suppose -f*h = 5*n - 3910, 3*n + 797 = 4*n + 4*h. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(1\/4) - -2) + 7. Suppose 0 = 14*q - 13*q - h. Suppose 5*o + 75 = 2*r, -3*o - 147 = -q*r - 7. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 239*f - 20. Let z(v) = 716*v - 70. Give -21*t(b) + 6*z(b).\nAnswer: -723*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1017 - 3046\/3. Let v(x) be the third derivative of 0*x + 0 + 3\/20*x**5 + 7*x**2 + 0*x**4 + u*x**3. Find the first derivative of v(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81539?\nAnswer: 67, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/9 (b) -2 (c) -158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {h: 1, y: 1, t: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60\/151 + -7939\/1359. What is the common denominator of p and 59\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3\/5 (c) 3197 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*d**2 + 13*d**5 + d**5 - 3*d**5 - 86*d**2 wrt d?\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 235 (c) -16 (d) 0.3 (e) -4 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147168 by 71.\nAnswer: -147168\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346844 is divided by 578?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 12 = -5*q + 3*q, 4*q = 2*k + 6. Suppose 0 = -q*l + l - 5. Suppose -l*y + 69 = 3*i, -2*i + 5*y - 2*y + 27 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1590 (base 10) to base 3.\nAnswer: 2011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1\/8 (c) -0.22 (d) -14 (e) -315\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n**3 + n**3 - 15*n**3)*((20 - 137 - 67)*(1 - 6 + 3) + 5 - 3 + 0) + n**3 + 0*n**3 + 0*n**3 in the form l + s*n**2 + k*n + m*n**3 and give m.\nAnswer: -7029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -2) + (-12 - ((-12 - -15) + -20))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*-5 + 4 - (2 + sqrt(17)*-2 + ((sqrt(170) - sqrt(170)*2)\/sqrt(10) - sqrt(17))))**2.\nAnswer: -4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -860670 divided by 90?\nAnswer: -9563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**2 + 2*a**2 - a**2 + (a + 0 + 0)*(1287*a - 816*a - 648*a).\nAnswer: -183*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24280167 is divided by 42153?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.102 - -0.002. Let t = 8 - 13. What is the smallest value in t, v, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -882, 0, 4, 3 in ascending order.\nAnswer: -882, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98329.58um to centimeters.\nAnswer: 9.832958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + -0.93. Let o(q) = 4*q**2 + q. Let g be o(-1). Let x(f) = -f**2 + 23*f + 1195. Let j be x(-25). What is the third smallest value in g, d, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.04 (b) 0.116 (c) -12\/5 (d) -5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -822025, -822029, -822041, -822067, -822113, -822185, -822289, -822431?\n\"Answer: -r**3 + 2*r**2 - 3*r - 822023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**3 - 1152*d**2 - 3477*d - 2322 = 0?\nAnswer: -2, -1, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 131820.\nAnswer: 131820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 183, 184, 185, 186, 187, 188?\n\"Answer: h + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = -4*j - j, -j + 2 = 2*k. Let d be (-264)\/(-27) - (-2)\/9. Solve -j = l, 0 = h - 6*h + 5*l + d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1*j*j**9)**(-3\/13) assuming j is positive.\nAnswer: j**(-36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1011010?\nAnswer: 1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from xxcxnpnpxcypppcppbpc?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdiw when four letters picked without replacement from bidddblbzwwb.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:03 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1897 and -2.3.\nAnswer: 4363.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 964721.6l?\nAnswer: 964721600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c + 11 = -5*g, 0 = -3*c - 4*g. Suppose h - 30 + 1 = -2*d, -3*h = c*d - 93. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2901 + 2904 - 8725 + 2920 + 88*s**3.\nAnswer: 88*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 245259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186189735.76671756 - 186189709. Let p = b - 16.66671713. Let i = p - 10.1. What is i rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:32 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + x + (1 - 5 + 1 - 1 + 2 - 2 + 6 + 5 + 4 + 3 + 1 - 6 + (1 + 1 + 0)*(2 - 4 + 3))*(0 - x + 0))*(-3 - 1 + 3) to the form y + j*x and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 3*v + 779. Let t(k) = 4*k + 4. Let j be t(-1). Is h(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -105\/58, -1398, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 + 10463*h**2 + 1620862*h\/5 + 3032472\/5.\nAnswer: (h + 2)*(h + 29)*(h + 52284)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*s + 28 - 15 + 239*s - 13 as u*s + p and give u.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -164\/7, 13, 0.043, -0.1 in descending order.\nAnswer: 13, 0.043, 0, -0.1, -2, -164\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 36 - 43 + 156 - 38 + 16*o.\nAnswer: 16*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*o - 7, 0 = o - 4 + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 3. Let g(v) = 8*v - 132. Let q be g(19). Suppose 27*l - q*l - 28 = 0. What is a(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6761681.096 to the nearest 100.\nAnswer: 6761700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 207812483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -13. Suppose 6 + w = 6*n. Suppose c = n*r - 23, -r = 5*c - 7 + 1. Calculate the highest common factor of r and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 916077, 1832152, 2748225, 3664296?\nAnswer: 4580365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19\/33 + 79\/99. Which is the smallest value? (a) 0.14 (b) z (c) -1 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*u - 332*u - 185*u + 2656 - 6643 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 646?\nAnswer: 5168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - 78418?\nAnswer: -78401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - 38.5. Let x = c + 73. Let l = x + -35. What is the third biggest value in l, 1\/4, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*y + 164*y + 3*h + 7 = 0, y - 6*h - 13 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 58 - t**2 + 15*t**3 - 118)*(-7*t**2 + 3*t**2 - 7*t**2).\nAnswer: -165*t**5 + 11*t**4 + 44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -2)*(1 + 0)*2542 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 5. Suppose -5*s + 4*s - 3*k = -6, 3*s + 24 = 5*k. Suppose -3 = o + d, -o + 2*d + 9 = -0*o. Let j(v) = v + 1. Calculate o*a(x) + s*j(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 99484 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.852 - -0.818. Let x = n - 10.5. Round x to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 24 = 2*y, 3*y - 22 = -w + 9. Suppose 2 = -n - a, -4*n + 0*a = 5*a + y. Suppose -b = -n + 9. Which is bigger: b or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(sqrt(13) - (sqrt(13) + 2))**2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12267 and 24534?\nAnswer: 24534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-68 + 220)*1*7. What is the highest common divisor of 56 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -105, 17, -4, 5, 0 in increasing order.\nAnswer: -105, -4, -1, 0, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/9)*j**14*(j**11)**6 assuming j is positive.\nAnswer: j**(718\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14888 = -4*g + g - 1892. What are the prime factors of g?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*a = -7*a - 82, -a - 67 = -4*f. Suppose -5 = -2*b - 1. Suppose 54 = b*z - 42. Calculate the remainder when z is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -217687, -217688, -217689?\n\"Answer: -g - 217686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:03 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 55210333 (base 7) to base 5\nAnswer: 2203222041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*w - 27, -4*r + 3 = w - 0. Let m(b) be the second derivative of b**4\/4 - b**3\/2 + 3*b**2\/2 - 5*b. What are the prime factors of m(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 58*j + 197 = -10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2, 1, -25 in descending order.\nAnswer: 4, 1, -2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42837.6 + 45812.71. Let r = s + -2959. Let o = 0.11 - r. Is o greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1787 - 3564 + 7*i + 1777.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 442 + -130. Let z(k) = 61*k + 1549. Let i be z(-25). Calculate the greatest common factor of i and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - h = -17, -5*n = 5*h + 4 + 1. Let z(j) = -2*j - 5*j - j**2 + 4*j + j. Let l be z(n). Which is bigger: -4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22633*v - 1407253*v**2 - 22633*v - 1407255*v**2 + 2814510*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -239 divided by -16574\nAnswer: 239\/16574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qarqu. Give prob of picking 1 u and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1.4 (b) -35 (c) -0.2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 5. Let h(j) = -j - 7. Let f be h(-11). Calculate t(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 7. Let y = g + 5. Differentiate -4*a**4 + 1 + 8*a**y - a**4 with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -862, -3275, -7990, -15775, -27398, -43627?\nAnswer: -65230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2242 divided by -38\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*u**4\/2 + 5654*u**3 - 275141*u**2\/2 + 253009*u.\nAnswer: -u*(u - 2)*(11*u - 503)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 16*y + 30 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-57 - (12 + -30)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-5\/4)\/(q**(-2\/17)\/(q*q**4)))\/((q\/((q**(1\/2)\/q)\/q))**(2\/95))**(-23) assuming q is positive.\nAnswer: q**(9791\/1292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2393*k**5*q**3 + 3*k**5 + 2*k*q + 3*q**3 - 6*q**2 + 37*q wrt k.\nAnswer: 47860*k**3*q**3 + 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Suppose -h*b + 194 = -118. Suppose -3 = 5*w - b. Calculate the remainder when 59 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 14*a**2 + 32*a - 45. Calculate the smallest common multiple of k(12) and 3672.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3\/6 - 5954*w**2\/3 - 474254*w + 956448 = 0.\nAnswer: -11664, -246, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 14 - 6. Solve -m = -6*m - f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.99 + 10.941. Round l to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 430, 441, 458, 481, 510?\n\"Answer: 3*m**2 + 2*m + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 19*z**3 - 2*z**2 + z. What is the remainder when 51 - (3\/(-1) - -2) is divided by k(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28528700 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2. Let y(z) = -21*z**2 + 6*z. Determine y(m(j)).\nAnswer: -336*j**4 - 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 61*n**2 - 83*n**2 + 2 + 170*n**2 - n**4 to the form g*n**3 + v*n**2 + o + c*n**4 + m*n and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + l**2 + 10*l - 25. What is v(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28506338 by 14.\nAnswer: -2036167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 45*g**2 - 84.\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*m*r**2*s**3 + a*m*r*s**2 + 10*a*m*s**2 + 69*a*s**3 - 2*m*r**2*s + 18*m*r*s**2 + 2*m*s**3 wrt s?\nAnswer: 12*a*m*r**2 + 414*a + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 292667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -0.11, 1\/2, 0, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 0*x + 2*x)*(0*x - x**3 + 0*x) + (27 + 20 - 17)*(x**4 - 4*x**4 - x**4) in the form k + o*x**4 + m*x + h*x**2 + i*x**3 and give o.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - f = -91, 2*f - 31 = -n + 19. Let u = 16 + n. Suppose 3*l + 4*p = -64, -u = 4*l + 4*p + 20. Is l greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 12300 - 2410. Is m a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/329104 and -71\/6.\nAnswer: 987312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 8*n**2 - 2*n - 11. Let r be g(-8). Suppose -r*o + 0*o = -30. Suppose t - o*t + 15 = 0. Let i(h) = -h**3 + 4*h**2 + h - 3. Give i(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, x: 1, l: 2, h: 2}. What is prob of picking 1 p and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 291506 equal to 291507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3*p + 2*p - 17 = -4*y - 6*p, 14*p = 4*y - 0*y + 68 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**5\/60 - t**3\/6 - 2*t**2 - 2. Let b(a) be the second derivative of s(a). What is the derivative of b(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 891 = -29. Suppose m*r - 30*r - 4670 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*8\/(-54) + (-10)\/15?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxqxchchchhcc. Give prob of sequence cx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -59. Factor 8*z**d + 4*z**5 + 24*z**4 - 4 - 12*z**4 + 0*z**5 - 12*z - 8*z**2.\nAnswer: 4*(z - 1)*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - -5 - (2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.9623743 months?\nAnswer: 0.246864525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333006712 by -727.\nAnswer: -458056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -25, 1, -5, -4, -1 in increasing order.\nAnswer: -25, -5, -4, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/9 + 4*h**3\/9 + 2*h**2\/9 - h\/3 - 2\/9.\nAnswer: -(h - 2)*(h - 1)*(h + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-275 - -352) + -39 + -5\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 16. Let d be (0\/1)\/((-10)\/(-8 - 2)). Determine s(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 21 = -119 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*j - 2 - 2*j - 36*j + 1 to n*j + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j*o*w**3 - 2*j*o*w**2 + 9*j*o*w + j*w**3 + 20*j*w - 2*j wrt o.\nAnswer: -4*j*w**3 - 2*j*w**2 + 9*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447 is divided by 269?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**5\/8 + 18129*i**4\/8 + 97932*i**3 + 2490321*i**2\/2 + 5768328*i + 7303200 = 0.\nAnswer: -25, -8, -2, 6086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(98))**2*-1 - -6*sqrt(200)*1.\nAnswer: -107 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1477*v**2 - 1463*v**2 + 7353*v**2 - 1468*v**2 - 1473*v**2 - 1475*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssddyyssy?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 21, -302, -807, -1524, -2483, -3714, -5247?\nAnswer: -7112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**2*w**3 + 70*r**2 + 20100*r - 6599637*w**3 wrt w?\nAnswer: -3*r**2*w**2 - 19798911*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n - 4 = -4*c, 4*c - 5*n + 4 = 0. Suppose 181 = 2*l + 5*w - 92, 0 = -l - c*w + 129. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174*(5 - (-125)\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00348296 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 31*m**2 - m + 0*m.\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 53\/3 + 10\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 368201 - 342234.9. Let m = p - 25972.299996. Let u = m + 6.2. Round u to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 388, 372, 350, 322?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = f - 2, 0*f + 5*l + 4 = 2*f. Suppose r + 0*d - 2*d - 47 = 0, 2*r - 92 = 2*d. Calculate the smallest common multiple of 16\/5 - 9\/r and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(-34)))\/v**(1\/2))\/((v*v**(-1\/2)\/v)\/v**(-19)))**(-19) assuming v is positive.\nAnswer: v**1007","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 337752957 a multiple of 3792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**2 - 6. Let g(s) = 2*s. Calculate p(g(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64.1887 * -4.\nAnswer: -256.7548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 3*h - 2. Let b be l(2). Let j = -2 + 2.1. Let k = j - 1.1. What is the closest to b in -0.3, -1\/3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/9)\/((-360)\/(-324))*-5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102220 (base 3) in base 15?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/12 + ((-560)\/(-64) - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (133\/(-3))\/(173527\/27399)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + -838a8?\nAnswer: -838c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -439864848.466 plus 6?\nAnswer: -439864842.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22667 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p + 1. Let y be g(-3). Suppose -3*v + 82 = -v. Suppose v = 5*n - 3*t, 2*n - 5*n - y*t = -13. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3864311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 3*v**2 + 3*v + 5. Let m be g(4). Calculate the remainder when ((-31)\/4)\/(3\/(-12)) is divided by (-2 - -1) + m - -11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2588423*n + 2959457?\nAnswer: 2588423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2012653\nAnswer: 4\/2012653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*c**3*f - 103711*c**2*f + 5*c*f - 28093*c - 3*f - 1 wrt c?\nAnswer: 240*c*f - 207422*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*h**2 - 306*h**2 - 11591*h**3 + 10359*h**3 wrt h.\nAnswer: -7392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y, 1 = -4*f + 5*y - 7. Let m be (-6 - 8\/f) + 2200002. Round m to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233673?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186293, -372585, -558877?\nAnswer: -745169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/57*(-1)\/(-4). Let w = 4.05 - 0.05. Let b = w + -4.5. Sort -1, b, t in descending order.\nAnswer: t, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/34 - (-6454)\/238. Suppose -3*p + 36 = f. What is the biggest value in 0.5, p, -0.06?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 18*c - 3*h - 23224, -3*h = 0. List the prime factors of c.\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1340*o - 5185. Is 27 a factor of l(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9081 and 1692.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 - 5*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892563864 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/21, 2, -3, -1\/4 in ascending order.\nAnswer: -3, -1\/4, -1\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 115*g**2. Let b(s) = 5*s**2. What is b(o(h))?\nAnswer: 66125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133974 is divided by 31491.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 169 = 246. Suppose -16*p - k = -315. What is the remainder when 52 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j + 5*t + 7, 54 = 3*j - 3*t + 42 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49330293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2785 is divided by 176?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 0*x = 192. Let v = -26 + x. Solve 0 = -v*i + i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*l + l. Let g = 21 - l. What is the greatest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 t when four letters picked without replacement from ststsstsstst?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55309 and 29274?\nAnswer: 39490626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -414 - -1000. Let i = -590 + n. Which is the nearest to i? (a) 0.5 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**4\/8 + 5*j**3\/6 + j**2 + 255*j. What is x(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 563, 520, 403, 176, -197, -752, -1525?\nAnswer: -2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 13. Let g(z) = 25*z - 27*z + 19 + 1. What is 5*g(f) - 8*r(f)?\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-182)\/(-39))*4\/6?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 6:07 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571542, 1143069, 1714596, 2286123?\nAnswer: 2857650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 989.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 169, 170, 169, 166, 161?\n\"Answer: -u**2 + 4*u + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 42 = -5*v - 2 - 19, 5*v + 39 = 2*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - (1 - 2)) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1953 and 3472?\nAnswer: 31248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 3*q. Suppose -3*u + 50 = 2*u. Let s(i) = i**2 - 24*i + 114. Let l be s(18). Solve q = f - l*f + u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n**3*s**2 + 377*n**3 + n + 76*s**2 + 4*s + 2 wrt n?\nAnswer: -9*n**2*s**2 + 1131*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 4. Let m = f - 6.8. Let x = -120.4 + 120. Which is the second smallest value? (a) x (b) m (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2. Let x = -6 - -8. Let g(m) = 3*m**2 - 3*m**2 - 3*m**x + m**2. What is i(g(b))?\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 98988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1288 - 7?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoohooohhoohhhoohh. Give prob of picking 1 h and 1 o.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 26.99987. What is z rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2934719380 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 65 = -5*o - 205, 0 = -2*o - 2*v - 50. Let d be o*(66\/(-15) + 4). Suppose d*a - 16*a = -72. Solve 0 = -5*w + 2*k - 4*k - a, 0 = -w + 4*k - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 553 - 0?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 7 = 2*x + 2, 0 = y + 5*x + 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2 - -5)*3. Suppose 3*m = -2*o + 13, 4*o - 3*o - 8 = -k*m. What is the greatest common factor of o and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*o = 14, -4*f + 3*f = 4*o - 6. Calculate the least common multiple of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 5:07 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*6\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 4*v**2 + v + 1. Let j(d) = -10*d**3 + 19*d**2 + 7*d + 3. Calculate 7*h(g) - j(g).\nAnswer: 17*g**3 + 9*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0*p**5 + 0*p**2 - 1\/3*p**7 + 2*p + 0 - 11\/12*p**4 + 0*p**6 + 0*p**3. What is the third derivative of a(g) wrt g?\nAnswer: -840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuwuuwwuuu. Give prob of picking 3 u and 1 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -129. Suppose -t*q + 553 = 73. Calculate the highest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9200, -9865, -10530?\n\"Answer: -665*d - 8535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -2\/11 (c) -8521 (d) -0.2 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 533753.3 millilitres?\nAnswer: 533.7533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**7\/42 + 19*x**6\/24 - x**5\/4 - 295*x**4\/24 - 95*x**3\/3 + 473*x**2. Let u(t) = 0. Calculate t.\nAnswer: -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2135047 + 1235289. Let l = -152037 + c. Let j = l - 2493131. Round j to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/7)\/((-120)\/2739660)?\nAnswer: 2, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1 - 50 + 62*h - 12 + 13. Is 30 a factor of z(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -938*v + 46893. What is n(50)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.6 + -4.5. Let z = 2 - 4. Let c = -2.2 - z. What is the nearest to c in 0.4, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 * -5.83\nAnswer: -326.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z**2 - z + 2. Let s = -74 + 75. Determine k(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 110. Let u = -0.502 - 2.508. Let v = -0.01 - u. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10137*k. Let a(n) = 3*n**2. What is a(j(w))?\nAnswer: 308276307*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13. Which is greater: i or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688677 to the power of 1\/2, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a2b - 2?\nAnswer: a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - -0.25. Suppose 0 = -q + 3*y + 3 - 8, -2*q - 10 = 2*y. Let n be (-25)\/q + (-27)\/6. What is the biggest value in n, v, -0.6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*n - n. Let d be (-24)\/(-28) + 2*1272\/(-1792). Let u = d + n. Calculate the common denominator of -35\/176 and u.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3677095254 + 4.\nAnswer: 3.6322904746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13*c - 15. Let z(t) = 7*t - 7. Let f(b) = -6*x(b) + 11*z(b). Let h(s) = 3. Determine 2*f(m) - 9*h(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9265789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1804371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 175 = 569. Let d(m) = -125 + x - 42*m + 4*m. Let j(n) = -19*n + 31. Let p(r) = -4*d(r) + 7*j(r). Find the first derivative of p(i) wrt i.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 41*u + 670. Give i(-16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -799, -795, -787, -775?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/8 and 37\/979906.\nAnswer: 3919624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 8:29 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20900)\/(-33)*(-2)\/(4\/(-6)). Find the second derivative of -i*s + 0 + 108*s**4 + 0 + 1814*s wrt s.\nAnswer: 1296*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/1*(-113)\/(-226)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3137 - -3137. Suppose 0 = -3*t - 7 + 19. What is the nearest to a in t, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 - 16*v**2 - 2*v - 64. Let u(l) = l**3 - 6*l**2 - l - 22. Determine -3*j(o) + 8*u(o).\nAnswer: -4*o**3 - 2*o + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.044 (c) -0.1 (d) 0.03 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**4*o**3 + 34*j**4 - 26*j + o**3 wrt j.\nAnswer: 36*j**2*o**3 + 408*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 532 + -340. What is the lowest common multiple of 36 and o?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2 + 2)*(u - 3*u**2 - u)*(-100 + 64 - 162).\nAnswer: 594*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 384182491 divided by 77\nAnswer: 4989383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/5, -13, 77\/6, -1 in descending order.\nAnswer: 77\/6, -1, -18\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + 133. Calculate the remainder when c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12770827.15 to the nearest one thousand.\nAnswer: -12771000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227 + -135. Let s = -41 + x. Calculate the highest common factor of 34 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/79)*g)\/g**(13\/3) assuming g is positive.\nAnswer: g**(-784\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48868, -41369, -33870?\nAnswer: -26371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/4 (b) -0.5 (c) 5 (d) -4 (e) 1770\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261723719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29863738?\nAnswer: 2, 79, 189011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r - 1\/8*r**4 + r**3 + 2*r**2 + 0 - 1\/20*r**5. Solve q(k) = 0 for k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-260))\/((-10)\/(-3300)*-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 49\/5 of a second?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.026 + 6.936. Let i = 12 - 9. Which is the second smallest value? (a) j (b) i (c) -4\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2\/2 + 2784*m + 16758 = 0.\nAnswer: -6, 1862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -56. Let w = c - 65. Is w less than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-10 - (2 - 1) - (20 + -24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-370*k - 1349 - 1346 + 2695)*(-2 + 2*k - k**2 + 2) to t*k**3 + q*k + i*k**2 + u and give t.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -23.9.\nAnswer: -9.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 5*g - 2*v, 2*g + v = -84 + 254. What is the highest common factor of 3206 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u - 105*u + 65667 = 31*u. Solve -n - 378 + u = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -158*d**4 - 7888*d**3\/3 + 3806*d**2 - 3128*d\/3 + 24 = 0. Calculate d.\nAnswer: -18, 2\/79, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 14 + 8. Let z be m + (-462)\/(-119) + -5. Is z smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 20 + 10 = 0. Which is the closest to -2\/3? (a) 3\/8 (b) 3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5979418?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 4*j - 1. Let x be m(-3). Suppose -5*h - 2*k + 2 = -0*k, 5*k = h + x. Suppose 12*c - 2*c - 30 = h. Solve 0 = -c*q - 0*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y - 10. List the prime factors of w(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-16))\/(14\/(-24)). Let x be 10\/4*16\/(-140). Sort s, -5, x in decreasing order.\nAnswer: x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*r + 10, -2*v - 2*r + 6*r + 10 = 0. Let m = -31 - -33. Let y(g) = m*g**2 - 6*g + 5 + 2*g**2 - 3*g**2 + 0. Determine y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 26 = -4*r, -21*a + 16*a + 22 = -2*r + 4*r + 6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 51. Suppose 3*x + 2 = -w. What is the closest to x in 0, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.1 (b) -1\/3 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 1, -6, 0.5, 2\/13, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*s**3 + 2092*s**2 - 2092*s**2)*(-5*s + s + 2*s) - s**4 - 5*s**4 + 4*s**4.\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 8449 + 12*q - 16898 - 40*q**2 + 8450 in the form u*q + t + i*q**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 smaller than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 13*o**2\/2 + 4*o + 5. Is 4 a factor of n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 8 - (22 + -2)) + 21 + 33\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -11 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 - 1.26. Let g = -0.23855 + a. Round g to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -0.2 (c) 2 (d) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*t - 8 = 3*m, -4 = 2*m - 3*t. Put m, -3, 10 in ascending order.\nAnswer: -3, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64384\/112672*((-70)\/22)\/((-2)\/(-1))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - l + 453, -3*l = -9 + 18. Suppose 5*y - 2*y - 930 = 0. Let q = j - y. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:14 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 2:24 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + a81?\nAnswer: a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y - 39*y = -10990. Calculate the remainder when 425 is divided by y.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8797100 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 1. Let k(w) = -w - 4. Let d be k(-2). Let r be v(d). Let c = 3 - r. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -8) + (0 - 24)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 6*o + 8. Let w be t(6). Let k = 12 - w. Suppose -k*z = 4*c - 2*c - 76, 3*c - 4*z = 114. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8453, -34224, -77189, -137348, -214701?\nAnswer: -309248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.3561 from 9593.67.\nAnswer: 9590.3139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15673, -31531, -47689, -64297, -81505?\nAnswer: -99463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 2 - h + 22*h**2 - 12. Let t be q(6). What is t rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -11214451?\nAnswer: 11214451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o - 136. Let u(p) = 6*p - 91. Let n(f) = -5*k(f) + 7*u(f). Let z be n(-20). Solve 0 = -5*a - 4*g, 3*a - 6*a + 3 = z*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 24 = -s. Let o = s - 42. Suppose -5*g - 11*g + 320 = o. Are 17 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 3*m + 4*y, 229 = -37*m - 3*y + 262 - 115 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from vtbac?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001100101010 - 111?\nAnswer: 111001100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h + 9. Let p be 61\/h - 3\/(-4). Solve 5*n + p = 3*j, n + 5*j = -2*n - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(125) - (sqrt(125) + sqrt(125) + sqrt(125) + (4 + sqrt(125) + 0 - sqrt(125)) + sqrt(125))).\nAnswer: -15*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)\/(-2*1\/(-6)). Let l = -45 - -44.58. Let v = 6.58 - l. Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 8*g**2 + 2*g + 19. Let t be k(-8). Suppose -3*r + 30 = 4*o + o, -4*o + t*r = -24. Solve -o = -0*p + 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28675 is divided by 2046.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793416 is divided by 546?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -22, 1, 3 in decreasing order.\nAnswer: 6, 3, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -2, -67, 7 in descending order.\nAnswer: 7, -2, -67, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*o = -121, 0*o + 4*o - 12 = -d. What is the remainder when d is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 19232, -6 in decreasing order.\nAnswer: 19232, 1\/10, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -35\/3*o**3 + 2 + 3\/2*o**2 - 9*o**4 + 2*o. Factor i(l).\nAnswer: -(l + 1)*(4*l - 1)*(9*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 2. Let y(i) = 3*i - 1 - 9*i + 5*i. Give 3*x(j) - 5*y(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 302 + -17. Let d = b + -281. Solve 0 = -u - 3, -u + 1 = 4*h + d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*g + 32, 52*s + 8 = -2*g + 53*s. Let d be (-1)\/(-4) + (-2)\/8. Solve 2*t + d - 2 = g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + (10 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2208?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112.5 - -112.8. Sort -34\/5, 1\/4, o, 2 in decreasing order.\nAnswer: 2, o, 1\/4, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 692948*b**3 - 3054*b - 3828*b**4 - 692948*b**3 wrt b.\nAnswer: -45936*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -22*d - 128. Let j be u(-6). Suppose -51*y + 81639 = -j*y. List the prime factors of y.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1378830559 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 82 (c) -125 (d) 0.2 (e) 26\/5 (f) 2\/3 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 680 - 4758\/7. Factor -2\/7*h + w*h**5 - 4\/7*h**2 + 0 + 0*h**3 + 4\/7*h**4.\nAnswer: 2*h*(h - 1)*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105723301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 8 = -2*n. Suppose 8*c + 483 = 499. Suppose -n*z - 6*d + 16 = -c*d, -7 = 5*z - 4*d. Solve m + 0*m + z = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/11 - 1538*n**2\/11 + 3070*n\/11 - 1534\/11.\nAnswer: 2*(n - 767)*(n - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*o - 2120, -12*o = -d - 17*o + 396. Is d at least as big as 422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 413, 915, 1623, 2543, 3681, 5043?\nAnswer: 6635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2769 + -0.011\nAnswer: 2768.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -5)\/((-84)\/(-8)). Which is the biggest value? (a) v (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496449970?\nAnswer: 2, 5, 479, 103643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*b - 10, -b - 4 = -5*b + 2*a. Suppose -152 = -h + 3*f - 23, h - 2*f - 127 = b. Is h a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/11, -0.3, 3, -1\/7, -0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29850 is divided by 829.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 12) to base 14\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u\/(u\/(u*((u*u*u**(-3\/4)*u*u*u)\/u)\/u)))\/u)*u**(-13\/2))\/(u\/(u**(2\/41)*u)*u\/((u**(-2\/43)*u)\/u)) assuming u is positive.\nAnswer: u**(-54637\/7052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 36 = -4*g, 2*w = 2*g - g - 9. Let u = 10 + w. Solve -f + 7 = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 31. Let t = -3 + 6. Let u(s) = 13*s - 3. Let q be u(t). Calculate the greatest common factor of w and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211011111 (base 4) to base 8.\nAnswer: -4450525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**4 + 37205*n**3 + 2871570*n**2 = 0.\nAnswer: -7363, -78, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/61, -0.2, -1\/29, -4, -1?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**3 + 6*a**3 + 29*a**3 + 4*a**3 + 2*a**3 - 5*a**3 + (a**2 + 0*a**2 + a**2)*(5 - 2*a - 5).\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1234 - -179637. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwtwxfxwxa. What is prob of sequence tx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 40330001?\nAnswer: 40324442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c - 406?\nAnswer: -3c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 41*z + 277. Let i be w(-5). Let l = i - 143\/2. Factor -1\/2*a**3 + 1\/2 - l*a**2 + 1\/2*a.\nAnswer: -(a - 1)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*s = i - 24, 2*i - 4 = -5*s. What is the second derivative of 6*j - i*j - 5*j**4 - j wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3 + 1611321*o**2 + 1611312*o - 3222636 = 0?\nAnswer: -537106, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1269916 and 1180.\nAnswer: 6349580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10714 + -128.\nAnswer: -10842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -15*n - 5*i - 20, 0 = -3*n + 16*i - 14*i - 49 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6819 + 0.2.\nAnswer: 6819.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((4 + sqrt(2)*2)**2 - sqrt(2) - ((sqrt(96)\/sqrt(4) - sqrt(24))\/sqrt(12))**2)*1 + ((sqrt(144) + sqrt(144)*-4)*6)\/sqrt(8)).\nAnswer: -195*sqrt(2) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 2*q**2 - 4. Suppose 21*a - 30 = 33. Let m be (7\/(-14))\/((a - -1)\/8). Let u(b) be the first derivative of b + 2. Calculate m*o(s) - 6*u(s).\nAnswer: 2*s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44437095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1114.23079*0.4.\nAnswer: 445.692316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a02a17 - 188?\nAnswer: -a02ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 312 + -256. Is 583 - (-13)\/(91\/g) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002358705 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 (base 10) in base 12?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 9089*y - 9087*y = -23, l = -3*y - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.818281524 rounded to 4 dps?\nAnswer: 2.8183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -91540874\/9 at least -10171209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*2*6 - sqrt(325)) + sqrt(325) + -4*-2*sqrt(325) + -4*(sqrt(325)*2 + sqrt(325)) + 3*2*sqrt(325))**2.\nAnswer: 63700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268742\/15 - -17916. Which is the nearest to -1? (a) -0.009 (b) w (c) -0.1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4367, 8721, 13075, 17429?\n\"Answer: 4354*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 + 82.3. Let l = 286 - 287. Which is the smallest value? (a) 0 (b) l (c) n (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 569, 1140, 2083, 3392, 5061, 7084, 9455, 12168?\n\"Answer: -n**3 + 192*n**2 + 2*n + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 327\/4*4*(-3)\/36. Let s be (-4)\/10 - (-548)\/20. Let k = t + s. Which is bigger: 2\/3 or k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*i + 213*i + 2*i - 4*i)*(1 - 1 + 2*i) to l + p*i**2 + u*i and give p.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 457*l**3 - 1122*l**2.\nAnswer: 2742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three twentieths of a microgram?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Suppose 4*w - 13 = -n. Find the common denominator of w\/2*(-110)\/12 and 73\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 9) + 1 + (-18 - (11 + -13 + -4))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.38 - -24.38. Let s = -1629 - -1648. Let r = g - s. Which is the closest to -1\/4? (a) -1 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 0. What is the remainder when l is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/3 + (-2)\/2. Suppose i = -0*v + 5*v - 10. Suppose y = 8 - v. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddq when three letters picked without replacement from didiriiqiiiqii?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.52 + 22. Let u = p - 0.08. Let v = u - 0.399952. What is v rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152204136 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140384 by -70192.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 308*i + 171. Let m be p(21). Let b = m - 1778. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 11*j - 2. Suppose 845*r - 50 = 855*r. Give n(r).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572*o = -3082*o + 813*o + 1271*o - 89250 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**2*r**3 - c**2*r**2 - 19328*c**2 - 379*c*r**3 - c*r + 3*r**4 wrt r.\nAnswer: -24*c**2 - 2274*c + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4867 + 2168 = 19*n + 48*n. Solve 0 = -2*s - 110*j + n*j - 12, -j - 6 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 5*m - 20*m**4 - 6 - 18*m**2 + 29*m**4 - m. Let v(q) = 19*q**4 + q**3 - 31*q**2 - 13*q - 13. Let r(t) = -13*k(t) + 6*v(t). Factor r(f).\nAnswer: -3*f**2*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168752 and 147658.\nAnswer: 1181264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (3 - 104893\/(-2059) - 16)?\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 35*l - 174. Give d(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1013\/4 + -94057\/372. Calculate the common denominator of -49\/64 and o.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -46 + 10. Suppose 4*g - 7 - v = 2*s, 5*g - 10 = 5*s. Let r(d) = d**2 - 4*d - 4. Does 5 divide r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 72*a - 1\/12*a**3 + 13\/72*a**4 - 3\/2*a**2 + 7\/120*a**5 + 1\/180*a**6 + 0. Determine j, given that m(j) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -74487\/4042 and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022122 + -211020?\nAnswer: 12111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4733)\/(-156) - (-1 - -5). Let l = b - 467\/13. What is the common denominator of l and ((-28)\/10 + 3)\/((-4)\/(-530))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/6 (b) -0.3 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 8*u - 8. Let s be m(6). Suppose -47 = -s*o + 9. Suppose 0 = -5*l + 4*x + 21, l + o - 31 = 4*x. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -15*n**2. Let l(f) = 32 - 87 + 28 - 96*f + 27. What is l(h(k))?\nAnswer: 1440*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*n - 24. Suppose 3*m = -0*b - 2*b + 37, 3*b + 2*m - 43 = 0. Let h = b - n. Calculate the lowest common multiple of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.30416 millennia in decades?\nAnswer: 5830.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26 - 31) + 0 + 5. Let v be (-4*12\/16)\/(5\/(-30)). Solve -2*m + i = -3*m, w = -4*m + 2*i + v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 4, -9, 0 in increasing order.\nAnswer: -15, -9, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - 1 - -6 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (755*(-6540)\/16)\/(1*9\/(-48)). Round k to the nearest 10000.\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2)\/(5*-2) - 72\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 1\/120*v**6 + 1\/20*v**5 + 0 + 1\/12*v**4 + 0*v - 33*v**2 + v**3. Give a(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 258*l**2 - 1016*l + 341*l + 339*l + 334*l. Let c(f) = 3*f. Determine c(a(u)).\nAnswer: 774*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -59.9. Let x = a - -5.1. What is the closest to x in -5, -2\/7, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76822633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1275)\/(-35) + -29)*7.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -34) + (41 - (18 - ((-4 - -6) + -10)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.03 and -1173?\nAnswer: -29360.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/35*(-22680)\/(-324).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 10*c**2 + 5. Determine z(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 3 = 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = -2*n + 8*g + 10, -n - 3*g = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -529\/6 - -88. Let i = -3.8 - 0.2. Let h = 0.1 + 0.1. What is the closest to -1 in h, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 442272 or 380?\nAnswer: 442272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 4*a**4 + 0*a**4)*(429*a - 1732*a - 657*a).\nAnswer: -1960*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**4 + a**3 - 1. Let p(g) = 68*g**4 - 6*g**3 - 29*g**2 + 9. Let v(t) = 6*j(t) + p(t). What is the third derivative of v(x) wrt x?\nAnswer: 1488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from hhffyyffyf?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -3 + -5)\/((-15)\/3). Suppose 2*k + n = 7, n = 5*k - 1 - 6. Let t = k - 2. Solve j + s = 3*c + 3, t = 3*c - 3*j + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 46. Suppose 3*y - 2*a = 2*a - 17, 0 = -y - a + 6. What is the smallest common multiple of l and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 12:06 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 143, 580, 1207, 2024, 3031, 4228?\n\"Answer: 95*s**2 + 152*s - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/47425728 and -109\/584472?\nAnswer: 331980096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -10. Let h(j) = 108*j**2 - j - 1. Let b be h(o). Suppose -5*a = -4*x - 44, -3*x + 4*x = a - 8. Calculate the highest common factor of a and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 3)*(0*v + 0*v + 2*v) + 0*v + 0*v - 2*v)*(-23 - 22 + 28).\nAnswer: 68*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, 3, 34208, -2, 0 in increasing order.\nAnswer: -19, -5, -2, 0, 3, 34208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36631 divided by -7\nAnswer: -5233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - j = 3106, 8*l - 6*l + 2*j = 2076. Is 74 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolbhollbbobbc. What is prob of picking 1 b and 1 o?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -21*c + 230, 6713*c + y + 16 = 6715*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*v**4 + 5*v**2 - 7*v**4 - 18*v**2 + 8*v**4 wrt v.\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 7*u**3 - 170*u**2 + 170*u**2 + 2*u - 6 to h*u**2 + p + j*u**3 + f*u and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 0, -3*l + 43 - 46 = 5*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + 7. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2 - 12. Let q(n) = n**3 - 7*n**2 + 4*n - 17. Let z be q(j). Calculate the highest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohoooohhqhooqooeooo. Give prob of picking 1 e and 1 o.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1\/6)*(-100)\/2700?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3 + 3*n + 2*n + 6*n + 20 + 41*n**2 + 36*n**2. What is the units digit of u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.5. Let j = z + 2.5. Let c = 12 + -13. What is the closest to c in j, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219.549t in micrograms?\nAnswer: 2219549000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, -4, 499, 5, 1.\nAnswer: -11, -4, -2, 1, 5, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 95, 294, 451, 422, 63, -770?\n\"Answer: -24*v**3 + 123*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -r - 1011, 0*p + 996 = 2*p - 4*r. Let h be p\/(-5) - (-2)\/(-5). Let a be 1 - (3 - h\/(-33)). Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*k + 19*z = 14*z + 149, -7*k - k + z + 2*z = 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 121, -1 in ascending order.\nAnswer: -4, -1, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04824 to three decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 755759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5435, 2, 0, -32, -4\/7, -3\/2 in descending order.\nAnswer: 5435, 4, 2, 0, -4\/7, -3\/2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dadszzsw. What is prob of picking 1 d and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1034417 * 0.18\nAnswer: -186195.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -93386877786.7 - -0.1\nAnswer: -93386877786.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-21))\/((7 - 14)\/126).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 416 = -16*h. What is the units digit of 4 + 31\/4*(-2 + h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.4, 2\/9, 14, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -26, -4, -301, 0.\nAnswer: -301, -26, -4, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -76*q + 73*q. What is the remainder when 110 is divided by q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 - 17*s**2 + 3*s**2 + 9*s**2 + 3*s**2. Let x(b) = 1779*b. What is x(c(q))?\nAnswer: 5337*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 1:23 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 985869 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 11:04 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 15*z - 74. Let y be k(-19). Solve x + x - 2 = -y*l, 5*l + 2 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/2 of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1872)\/546)\/(12\/(-21))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + u**3 + 3*u**2)*(4*u - 3*u + u) + 345*u**4 + 822*u**4 + 208*u**4.\nAnswer: 1377*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -600*a**2*t**2 + 28058*a**2*t - 4*a**2 + 167*t**2 - 46444*t + 2 wrt a.\nAnswer: -1200*a*t**2 + 56116*a*t - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 9, -2, -1, 8\/5, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240399.99976 - 240377. Let l = -35 - -58. Let z = l - n. What is z rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 3\/5, -0.6832, -0.01, 2\/13?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 6 (b) 4 (c) 0.3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5782 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30877871 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2700\/109061?\nAnswer: 2700\/109061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhk when three letters picked without replacement from rkkrhkhhk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-10) - 6\/(-15). Suppose -l + 0*d = -5*d - 343, -f*l + 5*d + 989 = 0. Suppose -108 + l = 5*n. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(5) + sqrt(2) - (-1*sqrt(162))**2.\nAnswer: -162 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j - 6. Let u be o(5). Suppose -4 = -i, -4*h = -2*h + 2*i - u. What is the greatest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75959591*o**2 - 89313839*o wrt o?\nAnswer: 151919182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7316645077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -21. Let q(m) = -m**3 + 8*m**2 + 9*m + 35. Is q(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-9 - -4) - -7. Let k = -100 - -151. Let f = -47 + k. Sort f, w, -1\/2 in increasing order.\nAnswer: -1\/2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l**5 + 324*l**4 - 2534*l**3 + 322836984*l**2.\nAnswer: 420*l**2 + 7776*l - 15204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 53295674 divided by 5\nAnswer: 53295674\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m + 21. Calculate b(11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 29 - y + (-2*y + 2*y + y)*(-8 + 21 + 2).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 405\/(-12)*(-4)\/(-6)*((-2646)\/35)\/(-63)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/9)\/(3\/18*4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -4. Let d(s) = 10*s + 4*s - 11*s + 5. Calculate d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73661 by 5.\nAnswer: -73661\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80568 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.3. Let x = -39.018 - -0.018. Let l = 39.5 + x. What is the nearest to b in l, -3\/8, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-126)\/(-3 + 2)*(1 + 0). Calculate the greatest common divisor of c and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100 - -1001001?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93358?\nAnswer: 2, 46679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2. Let j(k) = -50*k. Give j(v(q)).\nAnswer: -200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**6)\/((l*(l\/l**4*l)\/l*l)\/l*l*l)*l\/((l**(6\/11)\/l)\/l)*l**(2\/11) assuming l is positive.\nAnswer: l**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 - 57*q\/4.\nAnswer: 3*q*(q - 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7 - 1 + 7 - 2 + w. Let q be m(-8). Solve -27 = -4*k - 5*j, k = 3*k - 3*j + q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 550*q + 6162. Determine x(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -103012200 (base 5) to base 10\nAnswer: -438425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 95.\nAnswer: -9\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6960 and 113\/960.\nAnswer: 27840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172218 and 2826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 17*t - 15*t - 4, 5*t - 2 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Simplify (2*(-4*sqrt(8) + sqrt(8)) + sqrt(8))\/(4*sqrt(100)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7 + -5. Let f(p) = -4*p - 2. Let h be f(-7). Let g = h - 131\/5. What is the biggest value in -1\/2, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - r**2 - 1. Let m(l) = l**3 + l**2 - l + 2. Give -4*b(n) - 2*m(n).\nAnswer: -6*n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -5*h**8\/336 - 17*h**7\/42 - 33*h**6\/8 - 69*h**5\/4 + 270*h**3 + 52*h**2 - 4*h. Determine p so that v(p) = 0.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 - 3.4. Put -4, d, 3 in decreasing order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, 0.4, -3\/10.\nAnswer: -2.5, -3\/10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7305, 12294, 17255, 22182, 27069, 31910?\n\"Answer: -g**3 - 8*g**2 + 5020*g + 2294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16 - -2) + (-38)\/((-3040)\/1176))\/((-2)\/5)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -2, 2080, -0.04341?\nAnswer: -0.04341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f**4 + 5*f**2 + 6*f. Let j(z) = -10*z**4 - 6*z**2 - 7*z. Let b = 12 + -5. Let u(h) = b*i(h) + 6*j(h). What is the third derivative of u(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -245.272 + 230.6. Round i to 1 decimal place.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 52 = -7*s. Is 12 a factor of s\/(-78)*375 - 12\/78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 6 = 3*r, 4*n = -3*r + 55574 - 55566 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9282\/68*(-5)\/60*-4*6. Suppose 5*i + 4*s = 47, 0*i - s = -2*i + 11. What is the greatest common divisor of f and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = -4. Suppose 2 = -2*s, z*p = s - 5*s + 28. Solve 3*g + p = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3377, -3525, -3771, -4115, -4557, -5097?\nAnswer: -5735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 1.9. Let v = 2\/123 + 13\/41. Which is the closest to v? (a) 0.1 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.38 - 1.08. Sort 2, -2\/9, -44, x in descending order.\nAnswer: 2, x, -2\/9, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1430 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from oqoqqqoqqoqqeeqoooe.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 2*o**2 + 5*o**2)*(3*o + 3*o + o).\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -12 (b) 0 (c) -6 (d) -548\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*d - 3*d**2 - 2 - 29*d + 2*d**3 - d**3 to the form v*d**2 + m + r*d + k*d**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 428370312 to the power of 1\/2, to the nearest integer?\nAnswer: 20697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5972.488 rounded to 0 dps?\nAnswer: -5972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**3 - a - a**3 - 8*a wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 49. What is the highest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -8.3. Let k = v + -3. What is the biggest value in -0.3, 1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16299.74 + 16302.74. Let o = -0.5 - -0.3. Let m = 0.3 + o. What is the third smallest value in m, i, 1\/27?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + i + 0*i + (-4*i - 4*i + 2*i)*(0 - 2 - 1).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2266)\/10197)\/((14\/60)\/(6\/(-10)))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 4*h**7\/21 + 3*h**6\/40 - 1103*h**3\/6 - 54*h**2 - 7*h. Differentiate g(q) with respect to q.\nAnswer: 160*q**3 + 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 28655 and 27819 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -14669\nAnswer: -44\/14669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042532 to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 488*v**3 + 488*v**3 + 491*v**3 + v - 1468*v**3. Let b(g) = 49*g**3 - 35*g. Give 2*b(r) + 70*s(r).\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/1486 in 0.5, 2, -118\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o**3 + 11*o**2 - 1. Let s(i) = -11*i**3 - 14*i**2 + 2. Let x(y) = -5*l(y) - 4*s(y). Suppose 0*b - 5*b = 0. Give x(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31104 (base 5) in base 12?\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2\/11, 4, 43, -3, 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/11 + 210*i**2\/11 - 1092*i\/11 + 80.\nAnswer: 2*(i - 4)*(i - 1)*(i + 110)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 9 + 14)*(28*r**2 + 16 - 16) - 4*r + 2*r**2 + 4*r.\nAnswer: 590*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314 less than 12795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 10*s**2 - 3*s + 18. Let c be h(-9). Which is bigger: 132 or c?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*h**2 + 14*h**2 - 64*h**2 + 17*h**2 + 35*h + 14*h**2 as q*h + l*h**2 + m and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 31 = -46. Solve -5*q + f = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000243145 to 6 decimal places.\nAnswer: -0.000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131730.\nAnswer: 2, 3, 5, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -2*q**3 + 116*q**2 - 6*q - 17. Is 13 a factor of l(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 + 3*3\/(-9) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**6\/70 + 15*h**5\/28 - 65*h**4\/28 - 25*h**3\/14 + 99*h**2\/7 - h + 411. What is w in s(w) = 0?\nAnswer: -1, 1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1783*b + 113.\nAnswer: -1783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 2, h: 1, b: 7}. Give prob of sequence zhz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1843158 centuries to decades.\nAnswer: 1.843158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*k - 3*k + 7, -5*c - 5*k = -15. Let s be c\/((-6)\/(-4))*-33. Let d be -2*s\/(-4)*2. Solve -2 = -4*f - d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -57.2 and 6839905308?\nAnswer: 6839905365.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 9*d**2 + 4. Let b be z(8). Let u = b - 168. Round u to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 388 = 412. Suppose 2*f - 3*z + 1245 = j*f, 5*f = 5*z + 3100. List the prime factors of f.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 4 - 4)*(-4*x**2 + x**2 + 2*x**2) - 1 - x**3 + 1 + (0 - x**2 + 0)*(636*x - 264*x + 731*x).\nAnswer: -1106*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19974.\nAnswer: 2, 3, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/15 and -32\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -195*f**2 - 40*f. Let a(y) be the second derivative of 5*y**4\/4 + y**3\/2 + 5*y - 112. Give 40*a(x) + 3*z(x).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 8 - (148 + -84)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 180143*g**2*y + 177435*g**2 wrt y?\nAnswer: 180143*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(1\/2)\/k)*k)**(-5\/3)\/((k\/k**(-1)*k)\/((k**(-1)*k*k)\/k)) assuming k is positive.\nAnswer: k**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9 - 17*z + 44*z - 41 + 2*z. What are the prime factors of j(7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23248 and 46?\nAnswer: 534704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**2\/2 + 7*j - 3. What are the prime factors of i(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-6 - -48)) + (-28 - -44).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from cnfnxfnnp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 89404822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rndr. What is prob of sequence drr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/sqrt(99) + 2 + sqrt(19) + -2)**2.\nAnswer: 304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 12968*p**2 - 302252*p - 6112080.\nAnswer: 4*(p - 36)*(p + 13)*(p + 3265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 5, e: 1, h: 3, g: 3, c: 7}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427137*o = 425958*o + 9432 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1543 - -3189. Suppose 0 = -5*i - c - 259. Let d = -2680\/7 - i. Find the common denominator of d and -63\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**3\/3 - 21*a**2\/2 - 5*a + 19. Let j(z) = z + 4. Let r be j(8). Let d be s(r). Solve 0 = -n - 2 + d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68817845 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7845 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/19)\/i*i\/i**(-2))\/(i*(i\/(i*i**0*i))\/i*i**8)*(((i**(3\/5)\/i)\/i)\/i**(-11))**7 assuming i is positive.\nAnswer: i**(6014\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4\/9 + 22*l**3\/9 - 6*l**2 + 50*l\/9 - 16\/9 = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39823, 79656, 119505, 159376, 199275?\n\"Answer: l**3 + 2*l**2 + 39820*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + u**2 - u - 5. Let f be x(0). What is the units digit of (-35)\/f*6\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/61104833 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.5, -2\/7, -0.07, -173 in decreasing order.\nAnswer: 0.5, 2\/11, -0.07, -2\/7, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.899971 - 5.9. Round y to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*(sqrt(8) + -4) - sqrt(8)) + ((-3*sqrt(80))\/sqrt(10) - sqrt(8)))*-5.\nAnswer: 20*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5 - 3.595. Let f = q + 0.071. Let r = -0.024 - f. Which is the closest to 0? (a) 3 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3365 and 280360.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 22*j**2 + 3. List the prime factors of p(4).\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 4 + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1297*h**2*m*p - 3*h**2*m + h**2*p - 16*h**2 + 5 wrt p.\nAnswer: 1297*h**2*m + h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005497822 rounded to six dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949449 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7902 + -0.7900717. Round r to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*n - x, -n + 0*x + 2*x + 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 874 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnb when three letters picked without replacement from {n: 5, b: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 43 - (-7 + 19).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -24277308*i + 4. Let m be p(-8). Suppose 2*h - 6*h - m = 0. Let k = h + 9354617. Round k to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*t - 2. Suppose 0 = 2*c + 2*f - 42, 5*f - 11 + 46 = t*c. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1202 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1 + (2086 - -3). Suppose 28*c - 26*c = 2744. Let g = u - c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*j**2 - 555*j**2 - 171 + 508 - 173 + 276*j**2 - 164.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 5*t + 95 = -11*k, 3*t + 380 = 4*k. Let s = k + -79. Suppose s*d = 15*d + 72. Calculate the remainder when d is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*u - 330, 13*g = 18*g + 30. Calculate the highest common factor of u and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/8 + -3\/8. What is the closest to g in 3\/7, -8, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -64863.\nAnswer: 32431.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3096 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -9*d**5\/10 + 5*d**4\/6 - d**3\/3 + 46*d**2. What is the second derivative of v(a) wrt a?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2838*x**4 - 9*x + 183. Let k(q) = -14190*q**4 - 42*q + 916. Let n(l) = 14*i(l) - 3*k(l). Find the first derivative of n(m) wrt m.\nAnswer: 11352*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 + -9.4\nAnswer: -9.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 488 = 592. Suppose 4*d + 8*p = 4*p + 24, -2*p - 3 = -d. Let t be (d*17)\/((-6)\/i). What is t rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**6\/360 + n**5\/20 - n**4\/4 + n**3\/3 - 3. Let g(f) be the third derivative of s(f). Suppose -2*x + 0 = 10. Determine g(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7206 + -0.0038.\nAnswer: -7206.0038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from {h: 1, w: 4, o: 7, v: 3, t: 2}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*p - 257, -31*p + 26*p - 273 = -t. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4445, 4450, 4455, 4460, 4465?\n\"Answer: 5*k + 4440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*p - 12*p**2 - 38*p)*(2*p**2 + 2*p**2 - 5*p**2).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -10 + 7 - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35247 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aahahhhnaacvj. Give prob of sequence hcj.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from mkn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 399 (c) 3 (d) 1 (e) 9 (f) -306 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5603 - -2?\nAnswer: 5605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*20\/15 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87, -281, -587, -1005, -1535, -2177?\n\"Answer: -56*q**2 - 26*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/((-6)\/74) + 0)\/1. Suppose 4*r = -5*c - d, -4*r = r + c + 20. Let o(g) = 0*g**2 - g**2 - 3*g + 2 - 6. Calculate o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-92)\/(-60) + -1)*(-8)\/2. Let v = 14\/5 + g. Which is the second biggest value? (a) v (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5 + 1. Let k be q\/6 - (-6)\/18. Solve k*d + 0 - 2\/3*d**2 - 2\/3*d**3 + 2\/3*d**4 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 3. Let x be v(3). Let j = x - 7. Let q be (-1)\/(-2) - 250\/(-20). Solve 15 = 4*n + n, 2*p + q = j*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*c**3\/7 + 3437985*c**2\/7 + 4125663*c\/7 + 1237707\/7.\nAnswer: -3*(c - 45841)*(5*c + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23860 divided by -5965\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 2*x + 0*x + (x + 0*x - 2*x)*(-3 + 7 + 1) - 96*x + 21*x - 54*x.\nAnswer: -135*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -21231?\nAnswer: -21234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + x + 13 = 0, i + x = -4*x - 10. Suppose 41 = 3*m - z - 21, i*m + z - 90 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 151*v + 765. Determine l(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95712445 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 149\/52 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -25*n**8\/336 - 3*n**5\/10 - 4*n**2. What is the third derivative of v(x) wrt x?\nAnswer: -1500*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163.172 times 0.1\nAnswer: -16.3172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 4*z**2 - 7*z - 3. Let u be k(-3). Suppose 52 = 5*j - 3*v - u, -v = 2*j - 31. Calculate the remainder when 37 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-330))\/((-2)\/(-48))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17781231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7348 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1 + (2 + 0 - 1)*(4 - 1 - 2) - 4 - 1 + 3)*(-o**2 + 5*o**2 + 0*o**2) + 11*o**2 - 21*o**2 - 27*o**2.\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 7*r + 2. Let a be y(8). Let m(o) = -o - 6. Let t be m(-7). Let q be (6\/a)\/(t\/5). Solve 1 = q*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/(((-108)\/(-15))\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 85782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 381. Let u(p) = 96*p**2 - 4*p + 4. Let v(g) = 122*g**2 - 5*g + 5. Let r(o) = -5*u(o) + 4*v(o). What is r(k(i))?\nAnswer: 32*i**4 - 12192*i**2 + 1161288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*n + 85*n - 294*k + 43 = -304*k - 87, 5*n + 98 = -2*k for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 - -141455?\nAnswer: 141402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k + 37 - 154. What is the remainder when 36 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, o: 4, g: 1, h: 2}. Give prob of picking 1 g, 1 h, and 2 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*s + 8 = -i, -2 = -2*i + 2*s. Let k = -1 + i. Solve -k*z + j = -5, 16 = -5*j + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(1176\/63))\/(2\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 5424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 3142023\/5 and 628405 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70645484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 20*c - 28. Let b be (6 + -3)\/c*(1 - 0). Put -3, b, -16 in ascending order.\nAnswer: -16, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x**2 + 21*x + 12. Let g be u(-13). Suppose -36 = 5*y - 11, -4*y - g = -4*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -510948, -2043801, -4598556, -8175213, -12773772, -18394233?\n\"Answer: -510951*m**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5513 + -55019\/10. Calculate the common denominator of 47\/9 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, k: 4}. Give prob of picking 1 k and 1 e.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2, 2\/23, -3\/73, -13, 0?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 + 484\/3. Let p(w) be the first derivative of 0*w - u*w**3 - w**2 - 1\/2*w**4 + 2. Determine o, given that p(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = -a, 6 = -4*y - a + 18. Suppose 0 = s, 2*p - 4*s = -s + 4. Suppose 4*h + 84 = 5*m, p*h = 5*m + 10 - 92. Solve 4*t + y = m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -23*f - 279, -175*p + 2*f = -179*p + 5*f + 48 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {g: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s - 4*c + 16, -12 = -5*s + 4*c. Solve 0 = 3*x + y - 6*y + 21, -3*y = s*x - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/278468 or -1?\nAnswer: -1\/278468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqfrfqr. What is prob of sequence ffrq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95)*-2*-5 + 2*-1*sqrt(95))\/((sqrt(180)\/sqrt(9) - (sqrt(80)*-1 + sqrt(5)))*-2).\nAnswer: -9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 253 - 77. Let n = 153 - c. Let z = 77 - 60. What is the remainder when n is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**7)**(-9))**(-31))**(1\/22) assuming n is positive.\nAnswer: n**(1116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6129468 + 2*g - 6129700 + 3*g**2 - 3*g**3 - 2*g to the form y + o*g**2 + a*g + p*g**3 and give y.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24531 is divided by 139.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 4*x - 2. Let p be i(4). Let o be 104\/66 + 2\/(-3). Let g = -19\/33 + o. Which is the second smallest value? (a) 2\/5 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15 - 2) + 0 + 0. Let u be (-10)\/(-15) - 26\/(-6). Suppose 40 = 4*p - 0*p + 3*n, u*p - 2*n - 73 = 0. Calculate the highest common factor of p and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 - 463 = -37*c. Let a(g) be the first derivative of c + 0*g**2 - 16\/3*g**3 + 6*g. Find the first derivative of a(w) wrt w.\nAnswer: -32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 728\/23520 + 6\/10 and 47\/69?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5\/7 + 876*w**4\/7 + 125210*w**3\/7 + 5772720*w**2\/7 - 12439552*w\/7 - 18087936\/7 = 0.\nAnswer: -184, -128, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 25*f - 16. What are the prime factors of b(-22)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 602, 22, 2 in ascending order.\nAnswer: 2, 22, 602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(-4522*h + 11413*h - 5683*h) + (-4 + 2 + 3)*(3*h - 4*h + 2*h) as a + u*h and give u.\nAnswer: 2417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 220 - 219 - (84\/15)\/(-4). What is m in 16\/5 - 4\/5*m**3 - 28\/5*m**2 + 0*m + 4\/5*m**5 + f*m**4 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 4*q**2 - 2*q**4)*(-12 - 6 + 1).\nAnswer: 34*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*l - 2 + 2 - 168*l.\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 9, -2 in descending order.\nAnswer: 9, 8, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 945*o**3*v**2 + 21*o**2*v - 3*o*v - 3*v**2 wrt o?\nAnswer: 5670*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1877*x + 44. Let p be j(2). Calculate the highest common divisor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b - 2 + 2. Let k(g) be the first derivative of g**3\/3 - 10. Give h(k(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -17328 + 17\/(85\/25). What is m rounded to the nearest 100?\nAnswer: -17300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 21 = -2*n, 0*n - 4*d = -3*n + 21. Suppose 0 = n*r - 114257 - 80743. What is r rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065.1 - 36406?\nAnswer: -35340.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = 4*y. Let s be 33\/(-12) + (-3)\/12. Put -1, s, y in descending order.\nAnswer: y, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2831 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 182\/9 + 8\/(-36). Suppose 5*t = t + m. Let o(r) = -r + 1. Suppose -w + 1 = -0*w. Let h(s) = 7*s - 4. What is t*o(l) + w*h(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*r = -23034, -4*k - 5*r + 46075 = -2*r. Does 44 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2200*p - 301*p + 36652 = -29813 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*(l\/l**(-1))\/l)\/l)\/(l\/((l\/(l\/(l**(1\/7)\/l)*l*l)*l*l)\/l*l))*((l\/(l\/(l\/(l*l*l**(-2\/5)))))\/l)**(-11\/4))**(-8) assuming l is positive.\nAnswer: l**(-1272\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 b when three letters picked without replacement from jjjobzoojjjbjzbjjoj.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 18980074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.044 * -30412.\nAnswer: -1338.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-18)*(-20)\/(-75)*(-30)\/36. Suppose -o = -d + 6, 2*d - 4*o = -3*d + 32. What is the second biggest value in 2, 3, i, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1011010000110110111001?\nAnswer: -1011010000110110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -3*r + 65. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(7*h + 16*h**2 - 2*h - 12*h**2).\nAnswer: 4*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 272651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5115 in 1\/4, -0.6, -0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752*n - 188*n - 188*n - 188*n - 191*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 21 - ((-9 - -13) + 7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 23086.04\nAnswer: 13851.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:30 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 74659*-0.04\nAnswer: -2986.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) 2096 (c) 0.89 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -183 + 182.747. Let a = c - 13.683. Let f = 14 + a. What is f rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69670 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 3*m - m - 9*m - 8*m + 4*m + (-1 - 3 + 2)*(0 + 2*m + 0) + m - 3*m + 0*m - 6 + 6 + m + (1 - 2 + 0)*(0*m + m + m).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/24 + (-3265)\/(-3). Suppose 3*q - l = q. Let p = q - 295. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 124, 2, -19, -5, -3, -17 in increasing order.\nAnswer: -19, -17, -5, -3, 2, 3, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -192872 + 33872. Round a to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55103516123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 14*l - 11*l + 9, 5*l + 40 = 5*q. Solve 2*i - q*i - 2 = 2*d, 0 = -4*i + 3*d + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2937*n**2 + 12*n - 441?\nAnswer: -5874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -270*z - 2963. Calculate y(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Let r = -67\/2 + c. What is the common denominator of r and (-3*1)\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -11, 2, -192 in decreasing order.\nAnswer: 4, 2, -1, -11, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3821012 and 4251260.\nAnswer: 1585719980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.214 and 0.27?\nAnswer: 0.05778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16922, -16921, -16920?\nAnswer: -16919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*v + 642, 0*c - 2*c + 330 = 3*v. Let d = -2108\/13 + c. Suppose -5*i + u = 0, 4*i - 2*i + u - 7 = 0. Are d and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -3*o**6\/10 + 6*o**5\/5 - 7*o**4\/4 + o**3 - 21*o. Find k such that t(k) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -33*i**4\/2 - 5*i**3\/6 + 7*i**2\/2 - 3*i - 1. Let o be z(17). What is o rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 138816*c - 3750948.\nAnswer: 4*(c - 34731)*(c + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c + 272 = -35*c. Let r be 1 + (c + 0)\/4. Solve 4*u + 2 = r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -x + 5. Let b be (-318)\/x + (-4)\/6. What is the units digit of b\/(-3 - (-7)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12864791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 123576\/4408)\/(1\/(-4) - 3\/(-4)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 927 and 162225.\nAnswer: 162225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 148541267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -31\/12024918 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1082*h + 1081*h = -5. Solve r - h + 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 12. Suppose 20 = d*a, 0*a + 20 = -t + 4*a. Let n be -54003 + 3 + t\/(-4). Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.98156*-9.\nAnswer: -8.83404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/3 - 7\/12. Let o = 34169 + -34168.8. Which is the nearest to o? (a) 1\/8 (b) w (c) -4\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94, -784, -1942, -3574, -5686, -8284?\n\"Answer: -t**3 - 228*t**2 + t + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 263129 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*w = 108*w + 5476. List the prime factors of w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/6 - (1\/2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9807 - -9807.33. Let a = -947.33 - -952. Let v = k + a. Put v, 0.3, -0.2 in descending order.\nAnswer: v, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 249 = 5*p, p + 5*j - 4 = 69. Suppose -p = -2*t + 97. Suppose t + 65 = i. What is the highest common divisor of 35 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -1\/5, 3, 8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 78059.52t?\nAnswer: 78059520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 1)*(5 - 1 - 1)*(2*f + 3 - 3)*(-3 + 0 - 2).\nAnswer: -180*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6*(-2 + 32). Suppose w*y - 5*y - 5 = 0. Let z = -0.3 + -0.2. Put z, 0.3, y in ascending order.\nAnswer: z, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -250*r**5 + 768290*r**4 - 2555168358*r**3\/5 - 628054283066*r**2\/5 + 100537736656*r\/5 - 4022163432\/5 = 0. Calculate r.\nAnswer: -189, 2\/25, 1631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-20)\/15)*(3 + -1). Let i = 7 - 6.9. What is the nearest to i in 0, -2, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b**2 + 6*b + 6. Let h be g(-2). Calculate the highest common divisor of h and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**4\/2 - 7197*n**2\/2 + 11067*n + 12692. What is the derivative of j(d) wrt d?\nAnswer: -6*d**2 - 7197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 9*l - 6*l to u + v*l and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6883 is divided by 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43635873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31841 or -30726?\nAnswer: -31841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292586322.465 + 0.068.\nAnswer: 292586322.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - b**2 - 6*b + 1. What is m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230 + 230.00245. Round u to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -4.7423344\nAnswer: 23.711672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59650 - -167811. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, 4, -30, -3, 5\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-47)))\/i**(-44)*(i**(18\/5))**(-2\/39) assuming i is positive.\nAnswer: i**(-207\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -62. Suppose -3*a = -x + 1. Suppose 4*m + 21 - 65 = 0. Solve 0 = 5*o + a + m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1024669 bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27716.313 minutes in hours?\nAnswer: 461.93855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s*v**3 + 4055*s*v - 2*s - 8543*v**3 - 31*v**2 - 16*v - 10 wrt v?\nAnswer: -30*s*v - 51258*v - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35178, 69469, 103766, 138069, 172378, 206693, 241014?\nAnswer: 275341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -194*j - 12. Let o(s) = -194*s - 14. Determine 6*l(u) - 5*o(u).\nAnswer: -194*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*q**2 + 4*q**2 + 19*q**2)*(120 + 135 - 7 + 118 - 51) in the form m*q**2 + l*q + y and give m.\nAnswer: 9450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49\/12, 0.6, -3\/4 in increasing order.\nAnswer: -49\/12, -3\/4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 137830.8 grams?\nAnswer: 0.1378308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.852 and -5929141.96?\nAnswer: 5929142.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*k - 6, 4*k - 3*h - 8 = -7*h. Which is the second biggest value? (a) 3\/26 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:43 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = -158. Let m = 832 - t. What are the prime factors of m?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t - 31*t = -23*t + 492 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9 + 32\/(-30). Let t(o) = -o**3 + 12*o**2 - 13*o - 19. Let i be t(11). Let m = 42 + i. Which is the smallest value? (a) k (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18662819*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7725737300 rounded to the nearest one million?\nAnswer: 7726000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 + 213310*k + 11375289025 = 0. Calculate k.\nAnswer: -106655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 148. Let z be 152\/k + (-8 - -7). Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/10*6\/(-5). Suppose 0*m + 84 = r*m. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -59823634.\nAnswer: -59823633.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjj. What is prob of picking 1 w and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52802.3675 rounded to the nearest 10?\nAnswer: 52800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 - 1 - (0 + 3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 3*v - 67 = 0, 148*i - 145*i + v = 29 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16 + 8 - 177*r**6 - 311*r**2 - 1 + 9 wrt r.\nAnswer: -21240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/656 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tot when three letters picked without replacement from {t: 4, g: 2, o: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 340162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17680)\/(-72) + 4*(-1)\/(-9). Suppose 4*v + m = 2402. Does 37 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 - 52. Suppose -d*b + 110*b - 54 = 0. Sort -2, 4, b, 11 in decreasing order.\nAnswer: 11, 4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-16 - -35))*14\/(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 18 = 51*b. Let o(i) = 3*i**2 + 2*i - 14. Let m be o(b). Sort 61, 5, m in ascending order.\nAnswer: m, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*(1092\/30)\/13. Which is the third smallest value? (a) -0.02 (b) -2\/9 (c) f (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -35. Solve o + c = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005520027 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37332 and 5868.\nAnswer: 6085116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/19, 2\/7, -1\/720?\nAnswer: -1\/720","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 3:06 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**5\/20 + 5*j**4\/12 - 5*j**2\/2 - 2*j - 32. Let s(p) = p**3 + 4*p**2 - 5. Determine 4*n(z) - 5*s(z).\nAnswer: -z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1055695*w**2 - 14779745*w\/2 + 105\/2.\nAnswer: 5*(w - 7)*(422278*w - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 3*o - 33. Suppose 4*i + a + 17 = 3, 0 = 2*i - 2*a + 2. Let q(d) = d + 8. What is the remainder when s(-10) is divided by q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64966.85t in micrograms?\nAnswer: 64966850000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 4, z: 16}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {r: 1, l: 7, w: 2, a: 1, p: 5}.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 49 - (-12 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + k + 11, -4*z - 2*k + 24 = k. Suppose -81 = z*a + 2*i + i, -4*a - 114 = i. Let r = 37 + a. What is the greatest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-10\/7)\/j*j**10*j*j**(-1\/5)\/(j*j*j**(-12)))**(3\/19) assuming j is positive.\nAnswer: j**(2034\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63648 divided by 7072.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5*m - 6 = 0, 3*m + 24 = 2*p + 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94925*y**5 - y**4 + 107*y**3 + 26*y + 3382994.\nAnswer: 1898500*y**3 - 12*y**2 + 642*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 1a8218?\nAnswer: 1a8212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629305?\nAnswer: 5, 325861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12278, 12207, 12136, 12065, 11994?\nAnswer: 11923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6 + 3 - (2 + -9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m + 12*m - 10 - 6 + 17 - 23*m.\nAnswer: -25*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 57. Let w = -22.9 - q. Let k = 210 + -207. What is the closest to 0.1 in 2\/5, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(330\/50 + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 12:41 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -l + 156 - 127, 0 = 3*s - 15. Solve -7*v = -l*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 14 = 0. Suppose 2*k - 9 = 3*f + 2, -2*f + 4*k = 10. Let q = r + f. Solve 4*s = -0*s - q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (0 - 2) - -3. Solve 2*x + 0*x + s = -13, u*s + 20 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: de3 (base 16) to base 6\nAnswer: 24243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10.95654 and 325031036?\nAnswer: 325031046.95654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 8. Let u be d(-10). Suppose -3*g - 4*s + 20 = -0*g, g + s = 7. Solve -u*z + g = -6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**4*l))*l*l**(-1\/10))**29 assuming l is positive.\nAnswer: l**(2001\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, e: 3, s: 2, p: 1, d: 5}. What is prob of picking 1 p, 1 e, and 1 d?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpggpqppppp. Give prob of sequence qp.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -2 - (-6 + (8 - 5)). Let n(d) = d**2 - 4*d - 6. Let a be n(5). Let r = 648 + -647. Sort a, r, -2, c.\nAnswer: -2, a, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -48*t + 1656. What is the greatest common factor of 16 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1331)*2 + -4 - 3*(sqrt(1331) + (sqrt(1331)*-3 - sqrt(1331))))**2.\nAnswer: -3872*sqrt(11) + 644268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 14364 = -12*g + 37*g. What is the highest common factor of 140 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/10 - 51*c**3\/10 + 577*c**2\/10 + 51*c\/10 - 289\/5 = 0. What is c?\nAnswer: -1, 1, 17, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1779191.9\nAnswer: -533757.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (280\/(-105))\/((-3)\/(-9)) - -9. Is v at least as big as -2\/7497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626347517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/3173 + 2093\/1142280. Are 0.02 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/17 (b) 0 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a - 3. Let m be b(2). Let n = m - 11. Suppose 165 = o + n*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)*q)\/q)**(2\/15) assuming q is positive.\nAnswer: q**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31ff + 55?\nAnswer: -31aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48122 + -2831. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeebebebbeebeebeeee. Give prob of picking 2 b.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 17*u. Let g(o) = -5*o**2 - 14*o + 7. Let z(w) = 4*w**2 + 12*w - 6. Let s(h) = 6*g(h) + 7*z(h). Give s(y(v)).\nAnswer: -578*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-23877)\/1470 + (-2 - -17) and 7\/610?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*g - p + 40, 157 = 5*g - 4*p. Let v = -23 + g. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -918 by 918.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8755 + -8747. Calculate the smallest common multiple of 3220 and n.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, -62, 4.\nAnswer: -62, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203770 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 3\/4, 4, 13227, 2\/27 in decreasing order.\nAnswer: 13227, 4, 3\/4, 2\/15, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Let n be b + 2\/(-2) + 11. Solve -3*g + n = -6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 0.13, 1, 2\/11, 2.\nAnswer: -2, 0.13, 2\/11, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 14. What is the remainder when -3 + 33 + (0 - 1) is divided by f(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4504 (base 9) in base 15?\nAnswer: eba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -28. Suppose -5*j + 7*j = w. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -12. Calculate the greatest common factor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*r = 81*r - 2316. Let o = 605 + r. Calculate the lowest common multiple of o and 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-45)\/156)*19827\/8812.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2, 7 = 2*g + 5*o - 2. Suppose 0 = 2*n - 3 - 41. Suppose -g*b + n = -b. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnzgn. What is prob of picking 1 g and 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71843.\nAnswer: 71843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s**3 + 8*s**2 + 12*s + 12. List the prime factors of k(-5).\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8385445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3453)\/4)\/((-93)\/620) + (0 - -5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 51 = -65. Determine t so that 27*t - s*t - 15*t + 3*t**3 - 8*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**3 - 34*f**3 + 11*f**3)*(279*f**2 - 82*f**2 - 80*f**2).\nAnswer: -1989*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1188)\/(-792)*70\/(-3)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/12 - 2*k**3 + 11*k. Let a be z(-8). What is the derivative of -5*w + 2*w + 33 - a wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6690*v = 296*v + 696946 for v.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954236901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38522035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from {l: 1, p: 5, r: 1, w: 1, b: 3, g: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*d**3 - 292\/5 - 58*d**2 + 583\/5*d.\nAnswer: -(d - 1)**2*(d + 292)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -4*(sqrt(180)*2 - sqrt(180) - sqrt(180)))\/(sqrt(21)\/sqrt(63)))\/(3*sqrt(12)*2 - sqrt(144)\/(sqrt(12) + (sqrt(12) - -4*sqrt(12)))).\nAnswer: 18*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2210*k + 11308. What is w(5)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1207177, -2414341, -3621501, -4828657, -6035809?\nAnswer: -7242957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -369941, 5 in descending order.\nAnswer: 5, -5, -369941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1. Let b(w) = -161 + w + 161. Determine -3*b(x) - 2*j(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) + (20\/(-3) - -9). Suppose -z = -h*z - 3*d + 97, 44 = z + 3*d. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5*l = -2. Suppose -2*y - 8 = -l*k, 5*y + 5 = 10. Solve -k*o + 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 162 = 4*w. Let a be ((-3)\/(-4))\/(8\/w). Suppose -1 = n + a*f + 5, 0 = -f - 4. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30276 divided by 137?\nAnswer: -30276\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 7*c**2 - c + 8. Let r be p(7). What is the third biggest value in -2, 5, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = j + 2*t - 19, -4*t = -j + 19. Suppose -j*i = -24*i + 320. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2 - 16784724*s + 23477246646348 = 0. Calculate s.\nAnswer: 2797454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13322786 * 1.3.\nAnswer: -17319621.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97166 is divided by 53?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.711 + 1.011. Which is the third biggest value? (a) 26 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2 - 535*y - 530 = 0. Calculate y.\nAnswer: -106, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 8. Let v be d(3). Let s(b) be the first derivative of -1 + b**v - 2 - 17. Let t(y) = -13*y**2. Calculate s(t(l)).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 161, 160, 159, 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:53 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2. Let l(y) = 59*y. Let k(z) = 1504*z. Let b(x) = -5*k(x) + 128*l(x). Give b(j(i)).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*g = 189, -455 = -4*g - 463. Calculate the highest common divisor of 17184 and a.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1428691*b**5 + b**4 + 1862*b**2 - 176 wrt b.\nAnswer: -85721460*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 6. Let k be c(8). Suppose 0 = -3*q - k*q + 15. Suppose 0*t = q*t - 18. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = -4*n - 7, 4*n = 4. Suppose t*y - 38 = -2*h, -5*y + 3*h + 58 = 2*h. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7309104?\nAnswer: 2, 3, 11, 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2 + (4 - 5 + 2)*(-2 - 1 - 1) - 1 + 1 - 2)*(11*d + 8*d - 5*d + (-1 + 1 + 2)*(-d + 2*d - 2*d)) as u + q*d and give q.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -18*b**2 + 18*b - 48. Let g(s) = s**2 + s. Let z(l) = 18*g(l) - m(l). Differentiate z(a) wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a447 (base 11) to base 14.\nAnswer: 11a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14576 + -9449. Which is bigger: 5126 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9948.8537 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = 17*s. Suppose -2*x - 2*h + 336 = s, 7*x - 854 = 2*x + 2*h. What are the prime factors of x?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 0*a + 4 - 4*a**3 + 10*a - 4*a - 5*a**3.\nAnswer: -9*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((2 - 2) + -2). Let k be (0 - d) + 2 + -4. Let g be -1*k\/((-4)\/6). Which is smaller: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3)*9\/(-6). Let j be t\/(-12)*4*6. Solve -q = -j*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {k: 2, e: 2, q: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*t - 26*k + 29*k, 0 = 4*t + 5*k + 20. Suppose 32*w + 12955 - 44539 = t. What are the prime factors of w?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4485 = 7*d - 2*d. List the prime factors of d.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from dddtddtddddt.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 35. Suppose 14*z - 12*z = 0. Let k be a(z). What is the hundreds digit of 4\/(-7) + 5130\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-1820))\/(29\/(13195\/(-52))*5)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163 or -12568\/77?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73956?\nAnswer: 2, 3, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-18 + 15)) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3909, 8164, 12419, 16674, 20929?\nAnswer: 25184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 6*t + 3. Let h be m(2). What is the nearest to 3\/2 in -1\/4, 4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 357*b**4 + 2136*b**3 + 3177*b**2 - 54*b = 0?\nAnswer: -3, 0, 2\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 35 = -2*o, -4*i = 3*o - 10 - 3 - 67 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 882982, 882975, 882946, 882883, 882774, 882607, 882370?\nAnswer: 882051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -404, -1569, -3454, -6011, -9192, -12949, -17234, -21999?\n\"Answer: 8*s**3 - 408*s**2 + 3*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-108)\/2520)\/(6*69\/24)?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26192482?\nAnswer: 2, 109, 137, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 373 - 3?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3932 by 983.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 - 15*r**2 - 11*r + 17. Let w(x) = 3*x**3 + 14*x**2 + 10*x - 16. Let q(k) = 4*j(k) + 5*w(k). What is the units digit of q(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 5, -137\/3, 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t. Let u(o) = 3*o**2 - 136. Give j(u(n)).\nAnswer: 54*n**2 - 2448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*y - 23, -t + y + 2 = -3. Let l(b) = 4*b + 2. Let c(u) = -u + 1. Let p(o) = 9*o - 1. Let d(x) = -4*c(x) - p(x). Determine t*d(h) + 4*l(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -42*j + 11. Suppose 3*d + 1 = -f + 21, 5*d = -2*f + 32. Let i be w(d). Let p = i + 2597\/8. Put -2, -1, p in descending order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1343*q**2 + 448*q**2 + 450*q**2 + 447*q**2. Let b(f) = -716*f. Calculate b(d(k)).\nAnswer: -1432*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40351688 is divided by 141?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32838, 65659, 98480, 131301?\nAnswer: 164122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 219779671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -144, -153, -164?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -603 or -604?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - -3 - (-1)\/(-2 + 74\/34). Let h = 1 - 1.3. What is the nearest to y in h, 0.3, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25145 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 35*f**2 + 42*f + 40. Calculate x(-16).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3)\/7)*(-16)\/(-32)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from {j: 1, t: 4, b: 10, a: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose -b = t*b. Let l be (b - 0) + 2\/(-1). Let w(d) = -d**3 - 2*d**2 - d - 2. Determine w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f - 2*f - 1323 = 6*f - 4*f for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = g + 4366, 0*s = -5*g + 2*s - 21911. Let b = -1211 - g. Round b to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 125 = -3*s, 5*s - 15 = 0. Let u(k) = -k**3 - 42*k**2 - 43*k - 24. Let g be u(-41). What is the highest common divisor of g and r?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367849839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - (sqrt(171) - (-3*1*sqrt(171) - sqrt(171) - sqrt(171)) - sqrt(171))))\/(1*sqrt(729)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662 (base 8) to base 9.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43753570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 902816 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:07 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-15) - (-20364)\/(-15). Let s = -658 - y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**5\/120 + 2*r**3\/3 - 5. Let h(j) be the third derivative of f(j). List the prime factors of h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 8173?\nAnswer: -32692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 1, 6, 25116 in increasing order.\nAnswer: -93, 1, 6, 25116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 35. Let h be u(17). Suppose -h*b = 154 - 586. Let k(l) = -l**2 + 36. Let p be k(0). What is the highest common divisor of b and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c - 323038 = 600277. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 4\/3, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + c**2 + 0*c**2)*(0*c - 4*c + c) + 11 - 3*c**3 - 11 + 2*c**2.\nAnswer: 6*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 57*m**2 + 121*m - 876. What is w(7)?\nAnswer: 2764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 5*k**3\/3 + 4*k**2 + 5*k. Differentiate u(d) wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69203 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -803 = -3*z + i, i = -5*z + 6*i + 1335. Let f = z + 30. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 2, c: 1, w: 3}. Give prob of picking 2 w and 2 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfhwwhhhhfffffh. What is prob of picking 1 h and 1 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7811 + 3070. Round j to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + 5 + (71 - 68) - (-94 + -1)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81146.\nAnswer: 2, 13, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/12*(-2)\/5.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3452 - -31036\/9. Let g = 3211\/9 + -356. Calculate the common denominator of u and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Suppose 25 = d*j + 60. Let g = j + 14. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqv when three letters picked without replacement from vqhqnnnns.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35881606.\nAnswer: 2, 17940803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 1. Let c be k(-2). Let x = -226 + 240. Solve -2*h = -4*w - x, -c*h + 4 = w - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 + 2469596*p\/3 + 4939184\/3.\nAnswer: 2*(p + 2)*(p + 1234796)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/29, 59, 0.4, 0.2 in increasing order.\nAnswer: 2\/29, 0.2, 0.4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 168\/14905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*r - 3. What is the tens digit of (-514)\/(-12) + (31\/6 - r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3}. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 83*k - 24. Let t be j(-27). Let f be (-25)\/t + 10\/12. Solve f*r = 2*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/11 - 8432*u**3\/11 - 161020*u**2\/11 + 381024*u\/11 + 48510 = 0. What is u?\nAnswer: -21, -1, 3, 4235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -259, -585, -1041, -1627?\n\"Answer: -65*n**2 - n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 671.6142 millennia?\nAnswer: 8059370.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (94 - 27) + -112 - 18\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = 2*l + 94, -5*l = -25. Let i = 28 - b. Suppose 0 = -2*z + 4 + 8. What is the greatest common divisor of i and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 39 = -4*b - 129, -3*b = x - 5 - 8 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8*t**3 + 6 - 4.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let x = 8 + -8.1. Let u = x + -0.2. Which is the second smallest value? (a) q (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*r + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1990, 0, -1 in descending order.\nAnswer: 0, -1, -1990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 1. Let w be (2 + 1)\/(k\/6). Solve 0 = w*c - 7 + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqseem. What is prob of sequence esq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -3) + -39 + 22 + -13 + 15?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 511876051 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/((i**(-6)\/i)\/i)*i)\/i)\/i**(-2))**3\/(i\/(i**(-1\/4)\/i*i)*i**(1\/2)*i\/(i**(-5\/2)*i*i)*i*i*i**(-3)) assuming i is positive.\nAnswer: i**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*24\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Let r be (-3 - j) + 4 + 0. Suppose -2*u + 10 = -r*q, -5*q + 1 = 3*u - 14. What is the highest common factor of u and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*202\nAnswer: -80.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Suppose 0 = -r*y - 5*a - 5, -5*y = -3*a + a + 5. Put 2, y, 5 in descending order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**7\/105 + 17*l**6\/30 + 349*l**5\/30 + 85*l**4 + 300*l**3 + 1618*l**2. Suppose t(u) = 0. Calculate u.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517269510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 16. What is the derivative of 0*s + q + s + 8*s**4 - s wrt s?\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -141, -5 in descending order.\nAnswer: 0, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2 + sqrt(7))*-2 - sqrt(21)\/sqrt(12)) + (3 + (4*sqrt(448))\/(2*sqrt(16)))**2.\nAnswer: 39*sqrt(7) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -622852.797 - -622563. Let o = b - -290. What is o rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -908 = -55*q - 30*q + 877. Solve -h - q - 6 = -5*w, 5*h - 2*w + 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4725482599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -1292706.253.\nAnswer: 1292709.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/48 in 7, 4, -5, 5, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 84 - (2 + (-2 - -4)). Suppose 4*o - n = -2*c, -2*c = -5*c. Is o > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 13*m = -5*m - 4*y, -4*m - 2*y = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63104 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: Let m = 5 + -10. Let u be (-1 - (4 - 6)) + m. What are the prime factors of (-591)\/(-12) - 3\/u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2703040, -5406160, -8109280, -10812400, -13515520?\nAnswer: -16218640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1127613 to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((100\/(-12))\/5). Which is the third smallest value? (a) 40\/3 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19 - 179*l + 64 + 174*l. Let k be s(9). Let u(v) = -v**3 + v - 1. Calculate u(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64954700 to the power of 1\/2, to the nearest integer?\nAnswer: 8059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 4*a - 10. Let l(x) = -x**2 + 7*x - 6. Let b be l(4). Let u be d(b). Solve -2*v - u*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*h - 2*h - 3*n, 3*n + 173 = 4*h. Let k = h + -34. Solve 5*r + k = -0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*h + 5705 - 1525 = -6*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g - 1 = -33*g - 5*a, 5*g = 18*a - 22*a + 39 - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14226533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -501*j - 3. Let t be p(-3). Suppose -11*y = -17*y + t. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = 4*z + 4*x, -13 = -z + x. Put z, -1\/4, 3, -3 in descending order.\nAnswer: z, 3, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.62 from -5.\nAnswer: -10.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x = -12, -3*s = -x - 34. Suppose 0 = -b - s*b + 44. Solve -2*c = -b*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 497 - 3473\/7. Which is the nearest to 0.2? (a) z (b) 2\/15 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*d**2*n*s - 5*d**2*n - 2*d**2*s + 23*d**2 - d*n*s - 31 with respect to s.\nAnswer: -94*d**2*n - 2*d**2 - d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -0.1, -105 in increasing order.\nAnswer: -105, -8, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4)**35\/(((j**(-10)\/j*j)\/j)\/(j*j*j**(-16)*j)) assuming j is positive.\nAnswer: j**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**4 + 3*s**3 - 9*s**2 - 3*s - 5. Let y(a) = 2*a**4 - 4*a**3 + 10*a**2 + 4*a + 6. Let b(g) = 6*k(g) + 5*y(g). Suppose b(c) = 0. What is c?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 892 - -d7?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 602 + -600. Suppose -f = k*f + 6*f. Solve f = u + 5*a + 16, -a = 5*u + 14 - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-2\/11)*((n*n\/(((n*n**(-11))\/n)\/n)*n*n)\/n)\/n)\/(n**(-2\/3)*n**(-11)))**27 assuming n is positive.\nAnswer: n**(8163\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -477 - -480. Suppose -4*u + 0 = -2*s - 2, -4*s = -4. What is the closest to -0.1 in -9, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*o - 40 = o, 5*o = -5*h + 110. Calculate the highest common factor of h and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 153*v + 2. Let x be f(2). Suppose -x = -4*t + 32. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3\/6 - f**2\/2 - 9*f. Give w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24101*o - 1470168. What is j(61)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 0.1, 3\/10, 4, 1\/2, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -21 + 21 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((418320\/(-864))\/415)\/((-133)\/(-4)).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1044*a**2 + 18822*a + 542. What is m(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(sqrt(11) + -3))**2.\nAnswer: -288*sqrt(11) + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -2\/15 (c) -2\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2. Let u(d) be the third derivative of -5*d**5\/12 + 34*d**2. Give i(u(t)).\nAnswer: 1250*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-78)\/12*(0 - 2). Suppose -2*f + 3 - 5 = 0. Let r = h - f. What is the remainder when r is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8174 - -20048. Suppose -4*u - s - 9726 = 0. Round u to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. Suppose 3*v - v - 26 = 0. Suppose 4*c - 3*c - 5*j = -22, 2*j - v = -c. Put c, 5, l in decreasing order.\nAnswer: 5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9017\/3 in -0.3, -1\/34, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -203\/4, 12 in descending order.\nAnswer: 12, 0.2, -203\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12c + 1f?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/(33\/(-44) - 523\/(-700)). What is z rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8675871431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a31 - d3?\nAnswer: -b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+52892974\nAnswer: 52892973.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/10 + 5*v**4\/24 - 7*v**3\/12 - v**2\/2 + 4*v. Factor q(n).\nAnswer: (n - 1)*(n + 2)*(4*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12 from 122.\nAnswer: 121.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -11.2762?\nAnswer: 3.38286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.807 + -0.193. Let f = -0.318 - 0.182. What is the nearest to -1 in -43, 1, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 33*i + 43*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**3\/3 + 481*s**2 + 346*s - 1922. Find the first derivative of f(r) wrt r.\nAnswer: 4*r + 962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 4) in base 2?\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*u - 32 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37034 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/215 and 17\/2505.\nAnswer: 107715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-19640)\/30)\/(-4 - 1205\/(-300)). What is d rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 10:26 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 208382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + z = -2*p + 18, -z - 2*p = -3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 963*h. Let n(l) = -3*l + 18. Let s(f) = 4*f**2 + 84*f - 504. Let q(m) = 56*n(m) + 2*s(m). Give q(r(i)).\nAnswer: 7418952*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/7689 and 131\/100656.\nAnswer: 1107216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 184.\nAnswer: -1\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 + -1 - -4) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 + 3*a**2 - 2*a**3 - 1139 + 0*a**3 - 2*a**3 + 1217 as z + d*a**2 + k*a + r*a**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/4 + (-1*4)\/(-2). Let g(z) = 12*z**2 + 3*z + 3. Let j(r) = -1 - 1 + 1 - r**2 - r. Let s(v) = y*g(v) - 6*j(v). Factor s(l).\nAnswer: -3*(l - 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8847808 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (42240\/(-288))\/((-2)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1067 - -1422. Calculate the remainder when h is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 2*q**2 - 3*q + q + (-3*q - 3 + 3)*(4*q - 4*q + 2*q)*(0 + 4 - 1) + (-34*q + 27*q - 48*q)*(5*q + 2*q - 5*q) as w*q + t*q**2 + m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(4 + (-54)\/15). Solve 5*t + 3*x = 4*t + 4, -f*t + 5*x + 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let v be s\/((-3)\/15 - 0). Suppose -g + v*g = 60. Solve g = -3*u + 6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.2 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0772352 to three decimal places.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 70. Let f = -10 + 49. Let m = f + t. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.163 - 0.11. Let u = -1.009 - m. Round u to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222280\/51 + 4358. Find the common denominator of 13\/11 and r.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 162 = -4*f, 2*d = 3*d + f - 80. What are the prime factors of d?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 + -110. What is the closest to 7 in -0.4, b, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5136 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2) + -2 - 6*(sqrt(17) + 1)**2 - ((-1*sqrt(102) + sqrt(102))*1 - sqrt(102) - sqrt(102))\/sqrt(6))*-5.\nAnswer: 45*sqrt(17) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**6\/10 + y**5\/10 - 11*y**4\/24 + y**3\/6 + 2*y**2 + 2*y. List the prime factors of o(4).\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 4*w**2 + 2*w + 1. Let r be o(3). Let q = r - 18. What are the prime factors of 104\/4 - -3 - q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 171.076.\nAnswer: -170.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27*(-24)\/(-32)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 6. Suppose b + 2*w = 1 + 11, -4*b + 3*w - a = 0. Solve -3*m - b*m = 5*c + 20, m = -5*c - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 948 - 539. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/36*(0 - (-6)\/4). What is the biggest value in c, 0, 0.2, 0.06?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 2*j - j + (j - 3*j + j)*(343 - 878 - 1864) + (-3*j + 0*j + 4*j)*(5 - 2 - 1) to the form k*j + y and give k.\nAnswer: 2402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {z: 3, m: 2, k: 12}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*a - 2*s + 301, -5 = 5*s. Suppose -a = -f + 104. Let q = 418 - f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 less than or equal to 1568\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 140790822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -272, -500, -794, -1154?\nAnswer: -1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 259.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6146 - 6145. Let g(w) be the second derivative of 7*w**4\/12 + w**2\/2 - 2*w. Let h(n) be the first derivative of g(n). Give h(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-6) - (63 + 2). Is (t\/(-9))\/((-4)\/(-42)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -4 + 8 + -4 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30\/77, 0.2, -5, 10\/59 in increasing order.\nAnswer: -5, -30\/77, 10\/59, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -3\/2*m**2 + m - 12. Determine q(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 0. Suppose g - 14 = -s + 4*s, 0 = k*s - 15. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1666 and 3136.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(12\/(-4) - (-6752)\/2251) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4081, 4108, 4135, 4162, 4189?\nAnswer: 4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149784 and 288.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -46, -5, 1 in decreasing order.\nAnswer: 4, 1, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 + 2*a**3 - 6*a**3.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -4, 3.\nAnswer: -6, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*f - 5*f. Sort -3\/5, f, -0.4, -3\/4 in ascending order.\nAnswer: -3\/4, -3\/5, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = 122*y + 160 - 434 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -129, -2, -9 in decreasing order.\nAnswer: 5, -2, -3, -9, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 31. Suppose -3*b = -b - c. Suppose 4 + b = 2*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*c - 4196 = 1121*c - 208*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -1a5?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177.9 - -30.9. Let c = -146.8 - r. Is -6 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03447 - 0.0365. Round y to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137319 (base 15) to base 11\nAnswer: 589a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4354\/19904)\/(21\/60)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 46*z**2 + 2*z + 92. Determine y(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411453, -822875, -1234267, -1645629, -2056961, -2468263, -2879535?\nAnswer: -3290777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*g + 7*g + 312 - 123 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {s: 6, l: 5, p: 1, y: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.07 (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 29*v - 370386 = -38*v. Round v to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i. Let b(p) = 7849*p - 28. Determine j(b(a)).\nAnswer: 39245*a - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-5))\/(32\/(-460)) and 468\/24*(-2)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14236029 is divided by 206318?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367 - 29*z + 30*z - 756 + 212)*(z + 2*z - 2*z).\nAnswer: z**2 - 177*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3 = 13. Suppose 0 = 3*a + 2 - 32. Calculate the least common multiple of v and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + -4332114?\nAnswer: -4332141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6110 and 1235?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i - 3. Let z(p) = p**2 + 4*p - 3. Calculate -3*d(l) + 2*z(l).\nAnswer: 2*l**2 - 7*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*l + 3, -l - 349947*y = -349948*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 - 91. Let b be 3 + (-3 - -3 - 3). Suppose b = -0*v - 4*v + o. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 2. Let f be t(-3). Let y = -11 - f. Suppose -1 - 9 = -y*q, s - 73 = 2*q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 6*o - 5. Let l be y(7). What is the third derivative of 14*q**2 - 146*q**5 + 125*q**5 + 10*q**l wrt q?\nAnswer: -1260*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**4 - 22*c**3 - 4*c**2 - 376*c - 139353730?\nAnswer: -4*c**3 - 66*c**2 - 8*c - 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 38 + 2*s + 3*s - 9 to x*s + y and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.13, 43, -1, 3, 5, 128, 2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13624 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 996*g - 82668.\nAnswer: -3*(g - 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 14*r**2 + 16*r + 1. Let a be m(15). Solve 174*n - 178*n - a = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5243376 and 26175?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0426106 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/10 - 57\/(-495). Let v = -2\/11 + s. Let h be (-4)\/(-7)*280\/(-400). Which is the smallest value? (a) h (b) v (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28590 - 28589.99947589. Round n to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -710*j**5 + 3*j**4 + 3*j**3 + 1006*j. Let p(w) = -2*w**5 - w**4 - w**3 - w. Let s(b) = l(b) + 3*p(b). What is the second derivative of s(q) wrt q?\nAnswer: -14320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+66091363796\nAnswer: 66091363796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 2 + 0 - 3. Let h be t(-4). Suppose -z - 3*o = 7, -5*o + 4*o = h. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 525, 721, 1 in ascending order.\nAnswer: -24, 1, 525, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.2. Let i be 1\/(-2)*20\/50. Which is the closest to 0? (a) u (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7373 divided by 11.\nAnswer: -7373\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1398 and 8508.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*l = -0*j - 3, 3*j - 2*l = -22. Let z = j - -22. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9087 and 585?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 + 1?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -118 in increasing order.\nAnswer: -118, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/11 - 1592*z**2\/11 + 194098*z\/11 - 192508\/11 = 0 for z.\nAnswer: 1, 149, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a - -225a?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from uewqgdwu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26846*m - 86823 = -26855*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + 1. Let a be z(2). Let x = -2 + a. Let s(n) = 0 + 4 + 4*n**2 + 4*n - x*n**2. Calculate s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (2 - 1))\/2 - -13. Calculate the highest common factor of m and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21504 - 4?\nAnswer: 21500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.169, -2\/15, -1\/7, -449.5, -5, 0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d - 4. Let n(j) = -j + 1. Determine -6*n(m) - t(m).\nAnswer: -10*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/5 - 137*n**3\/5 - 283*n**2\/5 + 689*n\/5 + 834\/5 = 0. Calculate n.\nAnswer: -3, -1, 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*v - 415*v - 109*v.\nAnswer: -855*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 455 and 242322.\nAnswer: 242777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -8*m + 53. What is the least common multiple of m and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.3, 2, 0.2, 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - z. Let t(h) = h**2 - 5*h + 4. Let d be t(6). Suppose z + d = 5*b. Solve -23 = 6*i - 3*i - b*q, 2*q - 8 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -4 - (-65 + 104).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11406, -17882, -24358?\n\"Answer: -6476*s - 4930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 9) + 1 + (-11 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {j: 1, h: 2, d: 2, o: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*b + 58, 0*f + 56 = 2*f - b. What is the remainder when f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 139*t**3 - t**2 - 7*t - 7. Let y(q) = -139*q**3 + q**2 + 6*q + 6. What is -6*g(x) - 7*y(x)?\nAnswer: 139*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 204725403 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00689355061082 less than 1?\nAnswer: 0.99310644938918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(0 + 3\/(-12)*6). Suppose 2*a + 3*f = 132, -z*f = -5 - 7. Suppose -a = 63*n - 66*n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -61*l**3 + 3*l**2 - 2. Let w(j) = 184*j**3 - 10*j**2 + 6. Determine 10*m(a) + 3*w(a).\nAnswer: -58*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 171225 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 34*j**2 + 30*j - 64. Is t(-35) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1417876, 1417536, 1417196, 1416856?\nAnswer: 1416516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n - 1. Let l(x) = 17*x + 3. Let t(s) = 4*s**2 + 1 + s**3 - 2 + 1 - 4*s - 6. Let p be t(-5). Determine p*o(i) - 4*l(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 2. Let p(x) = -18*x - 12. Calculate 6*i(c) + 2*p(c).\nAnswer: -24*c - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 694711919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7*((-5)\/20*-20 + -3) - 3. Solve -r*v + 14 + 41 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 191?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19440 plus -14?\nAnswer: 19426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.00992 + 0.01002127. What is l rounded to six dps?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 162856*d - 4234266. Calculate i(26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.2 + 4.1. Let z = w + 0.4. Let i = -0.66 + 0.56. What is the closest to -3 in z, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/12))\/z)**(2\/45)*(z**(-8\/9))**(3\/13) assuming z is positive.\nAnswer: z**(-733\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -22.1. Sort v, 13, 2\/9 in decreasing order.\nAnswer: 13, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-166)\/8 + (-2 + (-300)\/(-144))*21?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z - 47. Let s be v(-5). Suppose -2*l + s = 2. Factor 2*t**4 + t**4 - 2*t**4 - 4*t**2 - t**l + 7*t - 3*t.\nAnswer: t*(t - 2)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 463031149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584 a factor of 1686757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6574*z + 19719. Calculate f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86158017?\nAnswer: 3, 11, 870283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w - 25 + 25)*(-4 + 2 + 0 + (-2 + 2 - 1)*(1 + 2 - 4) - 1 + 6 - 2).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 8*u - 595 + 1864 = 0 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 36. Suppose -g = -u, 3*u - 2*g = -6*g + v. Suppose -3*q - 62 = -u*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 44, 43, 42, 41?\n\"Answer: -r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r + 2. Let g be d(1). Suppose -2*x = 5*t - 18, -2*t + 2*x - 7*x + 3 = g. Suppose -4*m + t + 8 = 4*n, -m + 18 = 4*n. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**3 - 23*j**2 - 20*j + 3. Let a(f) = -55*f**3 + 300*f**2 + 260*f - 40. Let z(l) = 3*a(l) + 40*g(l). Solve z(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + s)*(s**3 - 5*s**3 + 2*s**3) + 12*s**4 + s**4 - 31*s**4.\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48, 2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 298032436 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/15 - 3992*a - 23690278\/15.\nAnswer: -2*(a + 401)*(a + 29539)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 979111518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8138.93 - 8039.9906. Let n = 99 - g. What is n rounded to three decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 9*f + 6 = 0. Let l be (-2 - f)*(12\/8)\/3. What is the third derivative of -4*n**3 - 21*n**3 - 2*n**3 + 5*n**l wrt n?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -67*g + 229. Give m(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*z + u, 43*u = 3*z + 47*u - 17. Let p(q) = -q**3 + 9*q**2 + 23*q - 4. Give p(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12 = -5*k + 13, 3*k = 2*r + 20. Differentiate 1 + 0*q + 3*q - k + 4 wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 223*t**2 - 17*t - 3593. Give n(-223).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a31 (base 16) to base 13.\nAnswer: -1259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -85*f - 134. Calculate the lowest common multiple of t(-3) and 7.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*w + 1171 = 7*w, -2*p + w = -1161. Put p, 5, 0 in increasing order.\nAnswer: 0, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-84))\/2*(-264)\/22?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 5. Let x be c(0). Suppose -3 = -2*m + 3. Put x, -3, m in descending order.\nAnswer: x, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 252\/27 + -7 - 4\/(-6). Solve -6*c = -c - f - 17, -k*f + 17 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 58509 and 1.75.\nAnswer: 58510.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 4*u**2 + u**2)*(3*u - 3*u + 2*u**2) - 2*u**4 - 2*u**3 + 2*u**3 + (6*u - 17*u - 6 + 10*u)*(4*u**3 + u**3 - 4*u**3).\nAnswer: -5*u**4 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z - 15*z - 17*z.\nAnswer: -86*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -345. Let g = 79 - j. Suppose 3*h + 0*h = g. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1738813814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -41. Solve 3*v + 20 = k*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((20\/8)\/(14\/112*-4))\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33836038*r**4 - 170842*r**2 + 7*r.\nAnswer: -812064912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60214 (base 7) in base 15?\nAnswer: -447a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120461 (base 7) to base 12.\nAnswer: -10788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*u + 71*u - 6*u**2)*(3*u - 3*u + 2*u)*(2 - 2 - 1).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42159677 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 14355 - 2938. Suppose -q - f = -539, -547 + w = 2*q + 5*f. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 64, 128, 210, 304, 404?\n\"Answer: -a**3 + 18*a**2 - 7*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Suppose 2 + o = i. Suppose 2*u - 68 = i*w, 0 = -u + 4*w + 31 + 11. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 187*d**2 - 2*d - 2. Let l(p) = 155585*p**2 - 1665*p - 1665. Give 2*l(x) - 1665*q(x).\nAnswer: -185*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 37 * 4818.478\nAnswer: 178283.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 760c60 (base 13) to base 6\nAnswer: 135231431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2. Let y(n) = -34*n - 56*n + 31*n - 5*n**2. Give y(c(j)).\nAnswer: -5*j**4 - 59*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 45*b - 1180. Is 56 a factor of p(-76)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(-2) - (7\/6 - 441\/54).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 - -29683?\nAnswer: 29623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.176? (a) 3 (b) -65 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 115232667 + 115232667 + 2*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69, -168, -265, -360, -453, -544, -633?\n\"Answer: r**2 - 102*r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 113081*h - 1868*h**2 - 113081*h in the form r + b*h**2 + v*h and give b.\nAnswer: -1868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/5 + 197*g**4\/5 - 409*g**3 + 1035*g**2.\nAnswer: g**2*(g - 5)**2*(g + 207)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 4738*z**5\/5 - 10030*z**3\/3 - 4621. What is the third derivative of g(i) wrt i?\nAnswer: 113712*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259331b (base 13) to base 4.\nAnswer: 230322210232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -790317.41 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 595*f**2 - 58734*f - 2005. Give u(125).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421698 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Let j(i) = i**3 + 9 - 2 - 4*i - 4*i**z + 10*i**2. Calculate the remainder when j(-6) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24124.\nAnswer: 2, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4\/5, 4, -0.3 in ascending order.\nAnswer: -4\/5, -0.3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14*h. Let l(t) = -22*t. Let f(q) = 9*q + 4. Let s(z) = -44*z - 22. Let o(d) = 11*f(d) + 2*s(d). Let v(x) = 3*l(x) + 5*o(x). Give u(v(k)).\nAnswer: 154*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 3.698?\nAnswer: 3.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + -0.2. Let l be 1\/(9\/(-6))*(-13 - -16). Let q be ((-147)\/18 - -8)*l. Put r, q, 0.2 in decreasing order.\nAnswer: q, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:44 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1570277436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 51*z**3 - 7*z**2 - 8*z - 1. Let h be y(-4). What is the hundreds digit of (-5)\/(-3*(-5)\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 9 = -39. Suppose -471 = -2*l - 7*p + 2*p, -3*l - q*p = -694. List the prime factors of l.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 20. Let r = -0.0705 + 4.1605. Let m = 0.09 - r. Which is the second smallest value? (a) v (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 24 = -8*b. Suppose 0 = 4*i - 2 - b. Suppose 3*n - 14 = -8. Solve 3 = -m + i*m - 4*h, n*m - 2*h + 6 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 5*n - 5. Let w(z) = z - 5. Let u(i) = -9*i + 51. Let g(k) = 2*u(k) + 21*w(k). Let h = 47 + -53. Let s be (10\/h)\/(2\/6). Give s*g(f) + 3*d(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4674184 is divided by 467409.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -370*d. Let i(f) = 3*f. What is g(i(m))?\nAnswer: -1110*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from ecezvzveemzzvvzc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 + 303\/27. Suppose 5 = -y - 2*r, -4*y + 6*y + 5*r = -t. Which is greater: -14\/9 or y?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.2 - 5. Let p = -0.88 + 56.88. Let a = p - 56.3. What is the closest to a in -2, n, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 a factor of 951204264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6877012, 13754074, 20631136, 27508198, 34385260?\nAnswer: 41262322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1888342, 3776657, 5664908, 7553065, 9441098?\nAnswer: 11328977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/2)*x**(-1\/7) assuming x is positive.\nAnswer: x**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 22. Let z be q(9). Which is the nearest to -1? (a) 2\/11 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33542 - 331?\nAnswer: 33211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = w - 4*h, 7*w = 38*h - 22*h - 13*h - 207 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -353, -1366, -3057, -5432, -8497?\n\"Answer: -l**3 - 333*l**2 - 7*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 680516250*w**2*y**3 - 5*w*y**3 - 22354010*w*y - y**3 wrt w.\nAnswer: 1361032500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772966?\nAnswer: 2, 29, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 2185.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 75. Let i = d - -13. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001010111 + 10010011?\nAnswer: 1000011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/988*65)\/((-2)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(68\/40) + 13. Solve 4*q + 7 = -y*z, 2*z = -11*q + 9*q - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(sqrt(16)\/(sqrt(8) + sqrt(8)*-2) + ((-1*sqrt(2) - sqrt(2)) + sqrt(2))**2 + -3) + 0.\nAnswer: -6*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 10*d = 20700. Let l = -2423 - d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 18*p + 54 = 0. Factor 10 - 10*u**2 - 5*u - 38*u**3 + 83*u**p - 40*u**3.\nAnswer: 5*(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3755524 to the power of 1\/2, to the nearest integer?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/3 - -16\/33. Let d = 83 - 88. Sort 1\/10, y, d in ascending order.\nAnswer: d, y, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5 + 2*k + 4 + 4*k**2 - 8*k. Is l(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12854404069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3425\/1507)\/(24\/(-88))?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -22. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -11*u**7\/273 - 24*u**6\/65 - 27*u**5\/26 - 49*u**4\/39 - 8*u**3\/13 + 3317*u. Determine i so that k(i) = 0.\nAnswer: -4, -1, -6\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*h**4*o**2 + 136*h**3*o**2 - 41915*o**2 wrt h.\nAnswer: 104*h**3*o**2 + 408*h**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s + 42. Let i be t(-6). Sort 2, -1.2, i, 3\/16, -0.5 in increasing order.\nAnswer: -1.2, -0.5, i, 3\/16, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.8400529 + -2.84. What is b rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = v - 13, 4*v - 3*q - q = 64. Let b be (10\/v)\/((-2)\/(-6)). Solve -b*w - 3*w = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-24))\/((-2)\/12). Calculate the least common multiple of 2 and (-72)\/(-1*(y - -4)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/37758210 and 151\/5394030.\nAnswer: 37758210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**2*v**3 + 75*q**2 + 2*q*v**2 + 125*v**6 wrt v?\nAnswer: -30*q**2 + 15000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/31)*i*i\/i**3*i)\/(i**3)**(-14) assuming i is positive.\nAnswer: i**(1300\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11359 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -27*y - 31. Let o be k(-18). Let x = -322 + o. List the prime factors of x.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 12:22 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 9 = 189. What is the remainder when 104 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p + 12. Let b(t) = -t**3 - t**2 - 2*t + 2. Is b(p) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -416*f - 472*f + 840*f - 1104 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = y. Let r be (-7 - (-6 - 2))*11\/y. Sort -1, 3, r in descending order.\nAnswer: 3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 - 240. What is the common denominator of (1 + 193\/(-72))\/(3\/s) and -49\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 + 5*-1*16\/20. Let c = 170 + -87. Find the second derivative of c*h - 96*h - h**2 - w*h**2 wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*n - 11. Let j = 27 + n. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -50704522.458 and -7.\nAnswer: -50704529.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by 159969.\nAnswer: 90\/53323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1252632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(sqrt(9)*2) + 1*sqrt(125)\/sqrt(5) + sqrt(25) + sqrt(25))\/((5*sqrt(60)\/sqrt(6))\/sqrt(2)).\nAnswer: 7*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 75845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/30 - 3*y**4\/8 + 5*y**3\/2 + 131*y**2 + 4*y. Determine q(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40960752?\nAnswer: 2, 3, 7, 17, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2. Let n(w) = 3*w**2 + 0*w**2 + 2*w**2 - 3*w**2. Give r(n(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + h)*(2*h + h - h) + 17*h**2 + 3*h**2 - 7*h**2)*(77*h**2 - 217*h**2 - 133*h**2) to the form i + w*h**4 + a*h**2 + p*h + z*h**3 and give w.\nAnswer: -4095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.796684 rounded to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -488932.2 to the nearest one hundred.\nAnswer: -488900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159 - -145.2. Let u = 14.5 + w. What is the biggest value in 4, 2, u, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/244 and 4\/(-80)*1\/(12\/2550)?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -5 (b) 4 (c) -2\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 11 = -4*p + 29, 0 = 4*p + n - 24. Let i = 17 - p. Suppose 10*a = i*a - 30. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3462.39 - 3315. Let m = s + -126.5. What is m rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.86 - -29.8. Let z = q + 0.06. Which is the second biggest value? (a) -3 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 h, and 1 y when four letters picked without replacement from {p: 5, h: 2, d: 1, y: 3, w: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50469 - -7?\nAnswer: 50473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222297979 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003688535 a multiple of 5364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-26) - -2)*-1\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2025*n**2 - 3992*n**2 + 2014*n**2.\nAnswer: 47*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*w + 57 + 357 = -532 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130875*z**4 + 73200*z wrt z?\nAnswer: -1570500*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3023623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (722\/780 + (-95)\/(-114)*-1)*5.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4831 is divided by 233?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 5*y**2 + 3*y + 3. Let t be l(-5). Let r = t - -14. Factor -6*z - z**2 - r*z + 3*z**2 - 8*z + 32.\nAnswer: 2*(z - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -15*o - 3. Let v(w) = 164*w + 32. Let g(u) = 14*u + 10. Let p be g(-3). Let s(r) = p*n(r) - 3*v(r). Let y(z) = -6*z. Determine 3*s(h) - 5*y(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o. Let h(g) = 2. Let b(f) = f + 5. Suppose 38*m - 10 = 33*m. Let c(s) = m*b(s) - 5*h(s). Give v(c(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:06 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 63. Let h = 151\/3 - l. Let p = -0.01 - -0.31. Which is smaller: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/2 - 460\/(-100)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -840 divided by -12\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Let l = d + 2.3. Let v = -2.7 - -0.7. Which is the closest to v? (a) 0.5 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 150\/19 in 4\/7, -2\/7, -8\/3, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131179?\nAnswer: 233, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/10))\/(y**(-3\/8)*y*y)*y**(-10)\/y**(8\/5) assuming y is positive.\nAnswer: y**(-477\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/j**(-26))\/j*j*j\/(j**20\/j))**(1\/8) assuming j is positive.\nAnswer: j**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) + (-1)\/4. Suppose 2*d + 5 = p, 4*p = 15*d - 10*d + 20. Let u = -2 + 5. Solve 2*o - q - u = j, d = -o + q - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95563.\nAnswer: 13, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 63940*u + 7417035. What is y(-116)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/5 - 119160656*f\/5 - 1774907742293792\/5 = 0.\nAnswer: -29790164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3\/(-90)*(26 + -20).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -3, -4, -7, -12, -19, -28?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 29 + 79 = -24*r + 3*c, -2*r - 5*c - 40 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 18*l + 5.\nAnswer: 18*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 667, -2244, -7097, -13892, -22629?\n\"Answer: -971*u**2 + 2*u + 1636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k - 6. Let h = 15 + k. Solve -10 = -3*w + w + 5*d, -4*w - 4 = -h*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnp when three letters picked without replacement from {n: 9, p: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 165*a - 2652.\nAnswer: 3*(a - 68)*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1311 + 1316. Let d = -551\/9 - -61. Let p = -0.3 + 0.1. What is the third smallest value in p, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-8) + (18\/(-240))\/((-56)\/(-672)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1644113 (base 7) to base 16.\nAnswer: 38096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2930)\/(-15)*234\/52. Is x bigger than 867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4*(-22)\/(-33) - 20127\/(-9) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -151155 from -17598946.\nAnswer: -17447791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*b**3*s**4 + 8*b**3*s - 101*b - 10*s**4 wrt s?\nAnswer: 336*b**3*s**2 - 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 324829288 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79285*u - 4 = -79284*u + 2*n, -3*u = n + 22 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (414\/345)\/((-12)\/(-15))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*d**2*o - 1033*d**2 + 19*o wrt o?\nAnswer: -18*d**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.044 - 3.044. Which is the fourth smallest value? (a) n (b) 2\/9 (c) -0.4 (d) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6423 - 53?\nAnswer: -6506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i**2 + 119*i + 19. Let w be t(-15). What are the prime factors of -4 - (-420)\/102 - (-50792)\/w?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 t, and 1 b when four letters picked without replacement from {t: 4, b: 4, f: 6}?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = y - 7*r - 1805, -5*r - 7227 = -4*y. Does 20 divide (-2)\/11 + y\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 minus -708631979.8?\nAnswer: 708631980.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-4))\/1)\/((-4)\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.44 - -6.44. What is the biggest value in -1, 4, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 12 = 4*a, b + 9 = 5*a - 26 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - d + 18 = 0, 5*l = l + 3*d + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100101010100001 (base 2) to base 5.\nAnswer: -12224114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 11:00 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 9. Let g be b(8). Let m(l) = 7*l**2 + 10*l + 9. Let u(w) = w**2. Let r(v) = -m(v) + 6*u(v). What is the remainder when 34 is divided by r(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122113 (base 4) to base 16.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3.5?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 1557.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15766155 divided by -23.\nAnswer: -685485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and -313304.\nAnswer: -313303.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 2*j = -k - 8*j - 28, -16 = 4*j for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (10 + (-1 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3864)\/(-3542) - 49909858\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 4*k + 3*k)*(-2*k - 5*k + 5*k)*(-k - 7*k + 46*k) + 88*k**3 - 32*k**3 - 28*k**3.\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 328\/(-224)*4 + 6\/(-42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6610106 (base 8) to base 10\nAnswer: -1773638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168259\/18 + 9354. Find the common denominator of 33\/356 and g.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1742 + -1016. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -440908\/5, 3, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 22094131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c + 4. Let g be a(7). List the prime factors of (-4)\/(-8) + g\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/u**3)**(2\/35) assuming u is positive.\nAnswer: u**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 6434320*o\/3 - 5175059232800\/3.\nAnswer: -2*(o + 1608580)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/9 - (-33925)\/13275.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = -5*n. Let f be n + (0 + 2)*11. Solve -4*a + f = -5*a - 4*i, -a = -5*i - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 + 93709*z\/2 + 7157034.\nAnswer: (z + 153)*(z + 93556)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-202)\/(-8) - (-2)\/(-8). Let h = 9 + -4. Calculate the greatest common divisor of c and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -1.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345 and 1955?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -19*y - 33. Let w(a) = 12*a + 22. Let o(c) = -5*q(c) - 8*w(c). Determine o(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**2 - 33*r**2 + 69*r**2 - 3*r - 9*r**2 - 3*r**2 to n*r + j*r**2 + a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3956)\/89010 + (-622)\/180\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + j + 3*j**3)*(7*j - 40 + 40) + 21*j + j**4 + 280*j + 248*j in the form g*j**3 + k*j**4 + l*j + u + r*j**2 and give l.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 3 + 9*j**4 + 1 - 2*j - 14*j**4 - j**2 as n*j**4 + o*j**3 + d*j + s*j**2 + v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1122\/2244)\/(((-3)\/3)\/(-100)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h\/(h**(-5\/8)\/h))\/(h**6\/h)**(-2\/39) assuming h is positive.\nAnswer: h**(-349\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-six fifths of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1636*f**2 + f. Let x be i(1). Let s = x - -11386\/7. Find the common denominator of -38\/5 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5 + 2. Let y = 6 + -6. Put y, g, 5 in descending order.\nAnswer: 5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2149*u**4 + 4*u**2 - 9891*u?\nAnswer: -25788*u**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12\/583 - 3017\/174900. Let d(l) be the third derivative of 3\/10*l**3 - 2*l**2 + i*l**5 + 0 - 1\/20*l**4 + 0*l. Solve d(k) = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -10*n - 1106. List the prime factors of n.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**4\/24 - 23*a**2. Let i(p) = p**3 - 11*p + 27. Let f(r) = -2*i(r) + 22*n(r). What is the derivative of f(q) wrt q?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0479 + -1.0479. Let k be -1*(-3 - 0 - -3). Let s be 6\/33*(k + 1). What is the closest to 0 in s, a, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = 27. Determine k so that 6 + 0*k - 4*k + a*k - 3*k**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4 + 13239*v**3 + 19866*v**2 - 19861*v - 13242 = 0?\nAnswer: -2, -1\/2, 1, 6621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3)*6\/(-4). Suppose 4*i = 5*m + 54, -54 = -i - l*i - 3*m. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 7. Suppose -4*k + f = -3*k. What is the nearest to k in -2, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 326200?\nAnswer: 978600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from zccyycycccyzyccyc.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/3140 and -7\/1713508.\nAnswer: 1345103780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*v - v + 6*v in the form i + o*v and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**3 - 102*l**2 - 9*l + 57. Determine s(-17).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 10. Let v be g(-7). Let p be (-10 - 2)*10\/(-8). Let c be p + -13 + 2*1. Solve -2 = v*r + c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 202055 and 46?\nAnswer: 404110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1290\/(-5504)*52\/(-65)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/51)\/((-2886)\/(-1887))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 73.50685 years?\nAnswer: 0.07350685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oko when three letters picked without replacement from {y: 1, k: 5, o: 2, z: 2, h: 3, q: 7}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 132. Determine i(-2).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 14*w**2 - 13*w - 18. Calculate the remainder when 33 is divided by z(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -37. Let t = -31 - l. Solve t*x - 2*x - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*c + 26*c + 92620. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g**4 - 180 - 260*g**3 - 46*g + 3*g**5 + 300*g + 95*g**2 + 3*g**5 + 113*g**2 = 0. Calculate g.\nAnswer: -5, -1, 2\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 166.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4 - 0, 3*d - 60 = 3*l. Is 2992\/d - 4\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(57\/(-18) + 3). Let c be 664\/6 - 4\/q. Suppose 0*a = -3*a - c. Round a to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.20766m to millimeters.\nAnswer: 38207.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 102 = 2*h, 3*h + 0*h + 15 = 0. Let l = f - -45. Does 27 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-6) + (7 - 1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 4*f**2 + 5*f + 9. Let g be l(-4). Let h = 3 - g. Let c = h + -2. Solve 0 = 5*d + 2*j + 4, -2*d = -5*j + 7 + c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2. Let u(y) = 153*y**2 + 2. Determine u(r(j)).\nAnswer: 1377*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, 86241, -2 in increasing order.\nAnswer: -14, -2, 4, 86241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 305560741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29477.\nAnswer: 7, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 2 - 4*h**2 - 7*h + 5*h**2 + 3*h**2 to the form m*h + p + u*h**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 37. Let a(r) = -r - 18. Let h(c) = 5*a(c) - 2*p(c). Give h(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-36 - 76 - -53).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 4*u = 4*p + 5424, 4*u = -4*p + 5416. Is 32 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 51*n**2 + 3*n - 71. Let k be o(51). Calculate the highest common divisor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -651, -4, 5, 33, -1 in increasing order.\nAnswer: -651, -4, -1, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-4)\/14*-1). Let r(u) = 2*u**2 - 9*u + 9. Let a(o) = -o**2. Let z(q) = -a(q) - r(q). Does 3 divide z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804 = -5*i - 5*m + 226, 3*m + 831 = 4*i. Let f = i + 239. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 1) + -50 + 55?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by (-1764)\/168*28\/(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10335042*b**3 + 731*b**2 - 182*b + 2 wrt b.\nAnswer: 62010252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 61, -43, 0.1 in ascending order.\nAnswer: -43, -2\/11, 0.1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014248556686 rounded to six decimal places?\nAnswer: 0.001425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.1 and -0.045835.\nAnswer: -0.2337585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987*u - 9749 - 27771 = 49*u for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 7167 - 789. Let w be -8*(-3)\/48*78. Calculate the highest common divisor of m and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 969870 and 25650?\nAnswer: 829238850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 11*q**6\/60 + q**5\/30 - q**4 + 38*q**2. Find the second derivative of j(x) wrt x.\nAnswer: 132*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010941604 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*s + 766*s = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4105 and 420352?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeie when four letters picked without replacement from ieieiieeeieee.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p. Let n be (p + 8)*(-2)\/(-18). Is 1 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363, 720, 1067, 1398, 1707?\nAnswer: 1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + n - 42. Let g(t) = -170*t - 169*t + 684*t - 179*t - 171*t + 211 + 10*t**2. What is -2*g(f) - 11*j(f)?\nAnswer: 2*f**2 - f + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 19 - 6 = 7*r - 8, 0 = 5*w - 4*r - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39303479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k - 41*k + 32 = 0. Let w = 1 - -1. Suppose -8 = 3*v - u + 6*u, w*v + u - 4 = 0. What is the lowest common multiple of k and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (-2 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhcddcccsdhdsccs. What is prob of picking 2 h and 1 d?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 74. Let u(p) = -p - 111. Calculate -5*u(v) + 7*w(v).\nAnswer: -2*v + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22129.046 * -21.\nAnswer: 464709.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41530133 is divided by 20765060?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by 3\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**2 + 44363*c - 469391.\nAnswer: 12*c + 44363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.44 + -1.56. Put -1\/2, 2\/19, i, -0.2 in descending order.\nAnswer: 2\/19, -0.2, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or 0.01?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 365\/438 - 4\/((-8)\/6) and -19\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*g*s**3*y**2 + 16*g*s**3*y - g*s*x - 3*s**3*x - s**3 - 2*s**2*x - s*x*y wrt y.\nAnswer: 12*g*s**3*y + 16*g*s**3 - s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167689 = -59*o + 166627 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*u - 9, 0*u - 5 = -3*r + 2*u. Suppose 4*p = -r*p. Solve 5*m - 20 = 5*x, p = 5*m - 0*m + 4*x + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2660\/33, -2\/21, -1, -0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) - (-184184)\/198. What is the hundreds digit of (-6)\/(-12)*i - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (906 - 186 + 299)*(-3 + 3 - s).\nAnswer: -1019*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 3, -0.5, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x + 63*x = -3. Let z(g) be the third derivative of -g**6\/120 - g**2. Let q(f) be the second derivative of f**5\/20 - f. Calculate x*q(c) + 6*z(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183 greater than or equal to 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36 + -32 - (1 + -1). Put -29, -1, m in ascending order.\nAnswer: -29, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -13.9. Suppose 3*t = -5 - 4. Let s = 0 + 0.2. What is the closest to c in s, t, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*u = -1 - 1, 5*u = -4*x + 8. Suppose -x*v + 0 + 4 = 0. Put 5, -2, v in decreasing order.\nAnswer: 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5017 - -50121\/10. Calculate the common denominator of -13\/5 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 + 166.4. What is the nearest to -3 in 2\/5, -1, 2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-5)*25\/((-8400)\/(-3744))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17920 is divided by 5970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc824 (base 14) in base 16?\nAnswer: -6f990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -295 - -505. Suppose f = -5*d - d. Let m = d - -35. Solve -5*j - 5 - 20 = m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-11)\/66 + -17. Which is the third smallest value? (a) -2\/19 (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -0.2, 1\/552, -1\/4, 4\/3, -0.08?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - 3*m - 1. Let a(s) = -s**2 - 1. Let w(t) = 2*a(t) - v(t). Let k be w(-3). Put k, 4, 2 in decreasing order.\nAnswer: 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(1 + 7 - 4)*(-2*y + 2 - 2).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 23*i + 11. Let n be b(-11). Suppose -3*c - 1 - 2 = n. Which is smaller: 5\/12 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78958*i**3*o**2 - 18*i**3*o + 5*i**2*o**2 + 728*i**2 + 90*i*o wrt i?\nAnswer: 473748*o**2 - 108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11032 - 11031.8. What is the closest to 2\/17 in 18.2, p, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266612016.\nAnswer: 2, 3, 11, 504947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1378 and 424?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(45\/90).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -30*x - 119, 3*x - 2*l + 19 + 0 = 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35139 and 48923823.\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 4, m: 5, h: 1}. Give prob of picking 1 h and 2 p.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 389191 by 106.\nAnswer: 389191\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68667.5mm in kilometers?\nAnswer: 0.0686675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = -10. Let n be ((-1)\/(-1))\/((-12)\/(-8) + -1). Find the second derivative of -138*y**h + 160*y**2 + n*y - 7*y wrt y.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - v + 3. Suppose -u - 2*u = 0. Let d be s(u). Suppose 20 = 4*g, -70 = -x - d*x + 2*g. Solve 0*m = 2*m + 4*k - 6, -5*m + x = 5*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, -1\/3, -61, 3.3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 827161180*o**4 - 221791992*o?\nAnswer: 9925934160*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-2))\/(1\/(-10)). Let s = b - 32. Solve 4*p - s*h + 28 - 3 = 0, 2 = p + 2*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46191, 46048, 45903, 45756, 45607, 45456, 45303?\nAnswer: 45148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*x + 74 - 114 = 0, 0 = -4*x - 30 + 130 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*u + 1256 = -43*u + 1117 + 6667 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*f + 41 + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2 = u, 180*u - 175*u + 2*p + 6 = -11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*h + 130, -5*h + 142 = -2*o - 183. What is the remainder when h is divided by 4 + -6 + 19 - 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 34*u + 21. Let r(m) = m - 4. Let t(p) = -n(p) - 5*r(p). Let j(x) = 4*x. Calculate t(j(i)).\nAnswer: -156*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.1 in 1\/11, -1\/4, 3\/19, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 23 = -p, -2*p + 11 + 21 = y. Let d be 2\/5 - (-84)\/(-10). Calculate the remainder when y is divided by (21\/6)\/((-2)\/d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071409.\nAnswer: 23, 37, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(17)*-4 + sqrt(153)\/(-2*sqrt(9)) + -5)*-1.\nAnswer: -23*sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6077 - -6081. Are -4 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/8 (b) -1 (c) -0.4 (d) -16 (e) -0.05 (f) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -30*i + 2. Let y(n) = n**2 + 3. Let h(l) = 3*l**2 - 15. Let r(p) = h(p) + 5*y(p). What is m(r(o))?\nAnswer: -240*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*b = 12, 0 = 5*a - 10*a - b. Which is smaller: -4\/13 or a?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:34 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 29. Let a(g) = -3*g**2. Give c(a(d)).\nAnswer: 18*d**4 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by (-2211)\/(-99) - 1\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 2*x**3 - 3*x**2)*(4*x - 4 - 20*x**2 + 8 - 6).\nAnswer: -40*x**5 + 8*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*y - 0. Let q(p) = 2*p - 3. Let r be q(4). Suppose 0 = -r*h + 3*a + 57, 3*h - 40 = -a - 3*a. What is the lowest common multiple of y and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -34 (c) -37\/2 (d) -7 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6*120\/(-32). Let f = 0.5 - 1.5. Which is the nearest to -1? (a) 1 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21985663433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*3315\/(-1190)*24*7\/105.\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:20 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -5\/24*n**4 + 0*n**3 + 0*n - 6*n**2 - 6. Calculate h(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294613?\nAnswer: 11, 26783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -447846 or 1\/3?\nAnswer: -447846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 60, 103, 146, 177?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60476182229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102210022011200 (base 3) to base 14.\nAnswer: -b9130c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 77. Put -5, w, 28 in decreasing order.\nAnswer: 28, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(21\/2)\/i*i**(-6)\/i)\/(i**(-1\/6)\/i**(-16)) assuming i is positive.\nAnswer: i**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12108708 and 192.\nAnswer: 193739328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**6 - 11*k**5*n - 5*k**3*n + 50*k**2*n - 5*k*n wrt k.\nAnswer: -120*k**3 - 660*k**2*n - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 14*m - 4*m - 27*m to f*m + z and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**3 + 6*t**3 - 4*t**3 - 19*t**3.\nAnswer: -35*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6976958895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(o - 2 + 2) + 5 - 6*o - 5 in the form a*o + l and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -31.99984. What is s rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1*1\/(-2))\/(17*(-21)\/(-2778888))?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23887 = -5*l + 2*c, 0 = 2*l - 24*c + 29*c - 9549. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 12*g + 17. What is u(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + 5. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6343.999952652 - 6344. What is q rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 2*x + 13, -5*x - 3 = -2*x - 2*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 19*g**2 + 48*g - 6. Let a be h(16). What are the prime factors of 33\/a*(-16)\/44 - -415?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, 2\/13, 2\/15, -2\/1375, 2\/5 in decreasing order.\nAnswer: 2\/5, 2\/13, 2\/15, -2\/1375, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1440) - 1*sqrt(1440)) + sqrt(1440) - (sqrt(10) - (sqrt(70)*1)\/sqrt(7)))\/(((2*sqrt(198))\/sqrt(9) - sqrt(22))\/sqrt(176)).\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**2. Let q(a) be the second derivative of -a**3\/3 + 69*a**2\/2 + 1500*a. Give f(q(d)).\nAnswer: -28*d**2 + 1932*d - 33327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*r - 25 = -93*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwlw when four letters picked without replacement from {z: 3, s: 4, w: 3, l: 7, v: 1}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 564 and 1744?\nAnswer: 245904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1740)\/(-1044)*4\/540*-12.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277 and 39?\nAnswer: 10803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/27, 5, 618049 in decreasing order.\nAnswer: 618049, 5, 2\/27, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -18*i - 219. Let a be f(-12). Let c be (a - (-33)\/6)\/((-80)\/(-24)). Find w such that -c*w - 1\/2 + 3*w**2 - 7\/4*w**3 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -153*z + 155*z + 132, z = -2*n + 54. Solve 0 = -x - 3, -28 = -2*r - 4*x - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4)**(-2\/19)*(i*i**7)**(-4\/13) assuming i is positive.\nAnswer: i**(-712\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 3. Let d(x) = -x - 5. Let u(c) = -3*d(c) - 5*k(c). Let r(f) = -6*f**2. Determine u(r(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1294.90005297 - -1294.9. What is d rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2984 and 3683002?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/7*k**3 + 33\/7*k**2 - 62\/7*k = 0. Calculate k.\nAnswer: 0, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249792 = 3086*o - 18690 for o.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:46 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2584014.\nAnswer: 2, 3, 269, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29011011 and 5.32?\nAnswer: 29011005.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*a - 82*m + 20, 4*m - 10 = 13*m - m - 3*m for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/5 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(451*x - 1 - 87*x - 162*x) + x - x - x.\nAnswer: 403*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 20 = 3*f + 5*o, 4*o = -5*f + 16. Solve 3*i = 3*t + 18, f*i + 2*i + 13 = -3*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44349*y**3 - 21517*y**3 - 14767*y**3.\nAnswer: -80633*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303 + -10?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39528450?\nAnswer: 2, 3, 5, 13, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5737 is divided by 104?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 0*r - 5 + r + 0 + 2. Let k be a(6). Solve 3*l + 3*x + k = 0, l - 4*x + 8 = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 366750 - 2225?\nAnswer: 364523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 9. What is the highest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22513 by 691.\nAnswer: -22513\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 22627?\nAnswer: -22620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p*q - 1109*p + 56*q + 1 wrt p?\nAnswer: q - 1109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:04 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose 5*z - 4*f = 223, 2*z - 5*z - m*f = -125. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140.327719956 + -2871.672312264. Let a = 3012 + w. What is a rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*p + 2, -3 = -y - y + 5*p. Let a be 20\/11 + -3 - y. What is the smallest value in 1\/10, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72600 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 17 = -53. Let c(z) be the first derivative of z**3\/3 + 9*z**2\/2 - 7*z - 3. Let y be c(p). Sort 2, 0, y.\nAnswer: 0, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.067 + -2.047. Which is the nearest to 1? (a) 35 (b) 4\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1973937606?\nAnswer: 2, 3, 29, 131, 86599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*p - 4 + 16, 4*b + 4 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 14) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 13*u**8\/168 - 11*u**4\/24 + 24*u**2. What is the second derivative of f(m) wrt m?\nAnswer: 520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5\/2 + 671205*s**4 - 29529495*s**3 + 352998280*s**2 - 1240185765*s\/2 + 295952895 = 0. What is s?\nAnswer: 1, 21, 268438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 2*g**3 + 3*g**3)*(3 - 4 - 1)*(-2*g**2 + 3*g**2 - 2*g**2) + 1676*g**3 - 1676*g**3 + 67*g**5.\nAnswer: 69*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -166941 <= -166943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*h + 20 - 5 = 0, h + 15 = 4*t. Suppose 4*w + 3 - 7 = 0, 0 = -f - t*w + 18. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 7131260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88231, 88129, 88019, 87901, 87775, 87641?\nAnswer: 87499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274940122 to the nearest integer?\nAnswer: 16581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2495610 and 41\/5083650.\nAnswer: 137258550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*q + 2673 + 1797. Let f = 37603\/3 - 12381. Let v = q - f. Does v = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6593475ng in milligrams?\nAnswer: 0.0000006593475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-4))\/((-112)\/(-4480)))\/(((-4)\/(-6))\/1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/5, -23, 161, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/10 - -3\/5. Let k = -13 - -16. Sort -4, x, k in descending order.\nAnswer: k, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 9) in base 11?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -73. Suppose -g = 2*b - 12. Put 5, -1, -5, b in descending order.\nAnswer: 5, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 13870 - 3287. Let q = m - 1117\/2. Let o(y) = 39*y**3 - 1. Find the common denominator of o(-1) and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13121 divided by 2491?\nAnswer: -13121\/2491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 19*g. Suppose 6*j - 3*j = r + 508, -r + 5 = 0. What is the remainder when j is divided by h(9)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/10, -3, 0.5, 5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330 (base 7) to base 3.\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:43 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4836341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61664107.\nAnswer: 43, 61, 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2\/5 - 214*g\/5 + 84 = 0.\nAnswer: 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43854353 - -0.347.\nAnswer: -43854352.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1939 divide 1738711925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1139, 4534, 10193, 18116?\n\"Answer: 1132*w**2 - w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + (-8 + 5300 - 5)?\nAnswer: 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, w: 3, e: 2, d: 2, c: 4}. What is prob of picking 1 w and 2 x?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2839780 divided by -10?\nAnswer: -283978","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 285\/30*2*2. Suppose 5*j - a = 92. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 7:03 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:02 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -t - 9*i - 3, -5*i = 5*t - 5. Let x = 8 - 1. Suppose x*s - 10*s = t. Solve -4*q + s*q = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 + 4*d - 6. Let b be z(2). Solve 120 - 48*u**3 + b*u**2 - 54*u**3 + 100*u - 55*u**3 + 152*u**3 = 0 for u.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18756\/(-1042))\/(-4 - 31\/(-8)). Let b be ((-63)\/1)\/(-1) - 0. Calculate the highest common divisor of j and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*h - h - 1485161 - 6761569. What is h rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-444)\/(-72) - (-4)\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704563769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183 - -297. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -2008 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. Let v = f - -3.2. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 2*x - 7. Let u be d(5). Suppose -6*t = -2*t - u. Suppose t*f - f = -l + 6, 0 = f + 1. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 8 - (1 + 0) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 53. Which is the closest to 0.2? (a) -0.4 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + 364. Let x be (-1)\/(-2)*(-288)\/(-16). Suppose x*g = z + 312. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/147000 and 101\/2551500.\nAnswer: 35721000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4\/4 - 415*c**3 + 3*c**2\/4 + 2491*c\/2 + 830 = 0.\nAnswer: -1660, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5470, -5379, -5288, -5197, -5106, -5015?\n\"Answer: 91*p - 5561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 42 = -3*n, 2*n - 13*p + 9*p - 52 = 0. Is -180*(108\/243 - 35\/n) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 3, x: 1, g: 5, k: 3}. What is prob of picking 1 k and 1 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398071 + 419136 = -383*p for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19510137 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -146, -326, -504, -680?\n\"Answer: l**2 - 183*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5499.752 litres to millilitres.\nAnswer: 5499752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 7) to base 14\nAnswer: -1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25*((-34)\/55 - 10\/55). What is the second biggest value in 5, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112126 < 1112124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135)\/sqrt(3) - sqrt(45))*1)\/((2*sqrt(99))\/sqrt(11) + sqrt(9)))**2 - ((2 + sqrt(245))**2 - (sqrt(20)\/sqrt(4) + 3)).\nAnswer: -246 - 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -31416159 and -31416119 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -198, -757, -1316?\n\"Answer: -559*j + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10638 by -4.\nAnswer: -5319\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -26*s + 3714. Calculate w(143).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 9, 29, 69, 135, 233, 369?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196*n**2*y**2 - n**2*y + 3*n*y**3 - y**3 + 10973 wrt n.\nAnswer: -392*n*y**2 - 2*n*y + 3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**4 + 0*z**4 - z**2 + 197*z - 197*z + 7 as s*z + u*z**4 + c + t*z**2 + k*z**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 3*h + 3*h)*(3*h**2 + 0 + 0) + 2*h**3 + 4*h - 2*h - h to f*h**2 + d*h**3 + o + r*h and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/3, -41, 5, 5\/8.\nAnswer: -41, 5\/8, 1, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 - 67. What is the units digit of (-233)\/(-1) - (i\/8 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127992578 - -560?\nAnswer: -127992018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -137893, -0.48, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.44423 hours in seconds?\nAnswer: 318399.228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 7*v - 31318. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544418853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -190 (b) 9.1 (c) 0.035 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y = 3*x - 28, 60 = 5*x - 5*y. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 669 = -5*w, -4*w + 2*r = 6*r - 540. Calculate the greatest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 2*c**4 + c**5 - c**5 + 0*c**3 + 0*c**3 + (3*c - c - 4*c)*(-c**4 - 2*c**4 + c**4) + 0*c**5 - 5*c**5 + 3*c**5.\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 = 20. Suppose -a*q + 102 = 117. Let v(w) = -4*w**3 - 5*w**2 - 11*w - 15. Is 28 a factor of v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2410*u + 5444 - 5444 - 784*u.\nAnswer: 1626*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -56. Let k be (-6 - -18)\/(f\/4). Factor h**2 + 15 - 6*h - k + 10.\nAnswer: (h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192406094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 4 + 124)*(44*d - 17*d - 109*d - 80*d).\nAnswer: -13770*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - (-1 + (-68 - -18) - -11 - -12)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or -1\/82336?\nAnswer: -1\/82336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 27*i**2 + 50*i - 1543. Let y be b(30). Round y to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 63 + 98*z + 98 to the form s*z + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14134 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (270476\/(-7))\/(60\/(-8)). Let i = 5152 - p. Let w = 199\/315 - i. Is w equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 12 + 1 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.17 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21574, 86244, 194026, 344920, 538926, 776044, 1056274?\nAnswer: 1379616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 123\/63 + 14\/(-49). Which is the second biggest value? (a) 2\/13 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22.3645 weeks?\nAnswer: 225434.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 1:24 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9535393 divided by 1362199.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 8*s**3 - 21*s**2 - 18*s.\nAnswer: -s*(s + 2)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/6, 2\/19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - 5*m - 3. Let w = -3 - -1. Let p be k(w). What are the prime factors of (p\/5 + (-581)\/10)*-2?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/1085526139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000158081 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001111010 + -10?\nAnswer: 10001001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 - 27 + 48)*(-1 + 0 + 0)*((-3*s + 3*s - 2*s)*(2 - 3 + 4) - 2*s + 4*s - s - 4 + 4 - 2*s + (-2*s + 2 - 2)*(3 + 1 - 2)).\nAnswer: 1133*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + (sqrt(28) - 5*sqrt(252)) + -1.\nAnswer: -26*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (26 - (8 - -9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-2)**2*3.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -r, 7*c - 99 - 8 = -0*c + 4*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23625 to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54374.\nAnswer: 2, 31, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 4412*w + 554952.\nAnswer: -4*(w - 114)*(w + 1217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2 - sqrt(13) - ((1*sqrt(143))\/sqrt(11) + sqrt(13))) + 4*(sqrt(1053)*2)**2 + (sqrt(104) - (sqrt(104)*-2*3 + sqrt(104)))\/(2*sqrt(512)).\nAnswer: 27*sqrt(13)\/8 + 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43824871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914299 is divided by 223.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 1 - b)*(4*b**2 + 2*b**2 - 4*b**2).\nAnswer: -6*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 36. Give g(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 20*u**2 - 31 + 12*u**2 - 4*u - 22 + 4*u.\nAnswer: -8*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((t - 3*t - t)*(-3*t - t + 3*t)*(2 + 2 + 1)*(-t - 5*t - 4*t) - t**3 + 3*t**3 - 4*t**3)*(12 + 2 - 11) as w*t + f + j*t**3 + z*t**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 16*w**2 + 8*w - 6. Let k be g(-9). Let r(b) = -163*b**2 + 76*b**2 + k*b**2. Let f(t) = 1 - 6*t**2 - 1. What is r(f(m))?\nAnswer: -108*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ac6 (base 14) in base 13?\nAnswer: 22b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2 = j + 3*h, 10 = 5*j + h. Let q be j\/(-3) + 20\/25. What is the smallest value in q, -2\/15, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3993.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501510129?\nAnswer: 3, 167170043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 5. Let i be p(-1). Suppose i*r = 3*r - 36. What is the lowest common multiple of 9 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 220 = -0*f - 9*f. Sort -41, f, -5 in decreasing order.\nAnswer: f, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/2 + 1067*n\/2 + 1069 = 0.\nAnswer: -2, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(2\/(-3))\/(36\/81). What is the second biggest value in o, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + -302230012021?\nAnswer: -302230011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - r + 13)*(-11 + 7 - 6).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029972 rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 581909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 2*c + 27, 0 = 5*t - 192*c - 296*c + 377*c + 3017 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from wzrwgg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2553571624.\nAnswer: 2, 89, 379, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**3 - 38*l**2 + 2*l + 10. Let w(s) = 5*s**3 + 38*s**2 - 2*s - 17. Let g(k) = 3*n(k) + 4*w(k). Let g(b) = 0. Calculate b.\nAnswer: -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-170)\/(-17)*(-6)\/(-3). Calculate the greatest common factor of 930 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 11*w + 10. Let o be x(-10). Suppose -5*m + m + 108 = o. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = k + 103, 2140774*k - 2140776*k = -3*v + 104 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -809 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + i - 4*i + 91130 = 0, 45565 = j - i. Suppose 158*z - j = 153*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11147743 from 329352.\nAnswer: -10818391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 533710 divided by 106742\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 16*l**2 + l + 4. Let t be 10\/2 - (10 + -8). Let u be g(t). Let d = u - 30. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1774, 1751, 1710, 1645, 1550, 1419?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*c - 16 = 0, c + 4453 = -4*n + 4450 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1350\/264)\/(-9) + 48\/64?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -20. Let v be (2\/i)\/((-5)\/(-8)). Let c = 1 + 2. What is the third biggest value in v, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6*72\/6. Let z(r) = -4 + 0 - 4 - r + 3. Let y(h) be the second derivative of -2*h**2 + 14*h. What is u*y(v) - 3*z(v)?\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -15\/26?\nAnswer: -15\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t - 7. Let p = 15 + -10. Suppose -p*m = -16 - 14. List the prime factors of n(m).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95158.14 litres in millilitres?\nAnswer: 95158140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-2)\/(-7))*(-74)\/(-1813)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) + (-64)\/(-1008). Which is the biggest value? (a) -0.3 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from qqhrthqttqhq?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 13 - (183 - 192).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(3 + (sqrt(450) + (2 + sqrt(450))*-6)*-5)*-5.\nAnswer: -5625*sqrt(2) - 945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -507*d + 7235. Let a be i(13). Calculate the greatest common factor of 168 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40\/63 - 1\/42. Let w = s - 89\/72. Let u = -13750 - -165125\/12. Find the common denominator of w and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(605) - sqrt(125)*2))**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -57881a6?\nAnswer: 57881a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.49 smaller than -19267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**6 + 4*s + 239*s**5 + 0*s + s**2 + 13*s - 61*s**5 wrt s?\nAnswer: -240*s**3 + 10680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -1. Suppose 18 = -9*w + 6*w. Let g be (1\/((-9)\/w))\/(28\/6). What is the second smallest value in g, -0.3, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 5. Suppose 3*f = g*f - 24. Let a be (-8)\/f*(-6)\/4. Solve 3*m = a*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(5) + -5 + sqrt(20)\/(sqrt(10)*2).\nAnswer: -5 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-27)\/(243\/18))\/14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -175. Suppose -4*t + 0*y - 5*y = -169, 3*t = 3*y + c. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -278*x. What are the prime factors of p(-2)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 11) + -5 - -6 - (-25 - -66)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -261*k**2 - 11*k - 1. What is z(1)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 18*l. Let d = -30 + 37. Let a(q) = 10*q**2 + 7*q + 7. Let t(s) = -3*s**2 - 2*s - 2. Let o(y) = d*t(y) + 2*a(y). Calculate i(o(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 10*a + 3. Suppose 3*f - 35 = 5*p, -3 = -3*p - 0*p - 3*f. What are the prime factors of c(p)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 374321744 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 363 + 4990*b - 1349 - 4677*b wrt b?\nAnswer: 313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4040 (b) -0.3 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 + -117. Put y, 415, 5 in decreasing order.\nAnswer: 415, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3556*l + 15 = -3559*l, -3*q - 20 = 4*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76935*b - 76935*b + 197*b**4)*(3*b + b - 3*b)*(1 - 1 + 1).\nAnswer: 197*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d = -541 + 136 - 497 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, 1047, 4100, 8395, 13938, 20735?\nAnswer: 28792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27680 times -10.2?\nAnswer: 282336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2529*o**6 + 54*o**2 + 15?\nAnswer: -303480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/3120*-10)\/((-6)\/8).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13970 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19382)\/10 + (-120)\/(-100). What is y rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3564*f**5 + 1586*f**2 + 2 wrt f?\nAnswer: -213840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2711062, -5422125, -8133188?\n\"Answer: -2711063*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1225582 + 1225932. Let a = -1 + 2. Is m at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 103*l + 140. Let f be u(50). Let o(w) = 2*w**3 + 19*w**2 - 10*w + 12. Determine o(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 388 and 10?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (126\/56)\/(0 - (-9)\/29280).\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -290\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -331 - 219. Suppose 3*d - 2*d = 22. What is the greatest common divisor of d and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*z**2 - 168*z**2 - 44 + 37 - 163*z**2.\nAnswer: -z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241553 is divided by 47?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.86979 to two decimal places.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 6*m + 9*m - 3 + 3 + 1 to i*m**3 + v + t*m + p*m**2 and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.28 and -266713749.\nAnswer: -266713749.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 32*o**2 + 1336*o - 155. What is m(-56)?\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 200*m + 5. Let g(b) = 6099*b + 152. Determine -5*g(t) + 152*n(t).\nAnswer: -95*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(2\/11))\/i**(1\/7)*(i*(i\/(i*i**8\/i))\/i*i)\/i*(i\/(i**(-5)*i))\/i)**(17\/6))**(-7\/6) assuming i is positive.\nAnswer: i**(3043\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10785544 divided by -1540792\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 1 - (-12)\/(-4). Solve g = -n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/9))**(-12)\/(r*r**(1\/13)\/r*r*(r\/(r*r*r\/r**(-8)*r)*r)\/r))**(-18))**25 assuming r is positive.\nAnswer: r**(-73650\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/7 - 125*m**4\/7 + 6010*m**3\/7 - 137610*m**2\/7 + 212355*m - 6073353\/7 = 0 for m.\nAnswer: 13, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2295 and 174?\nAnswer: 133110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27034b + -2?\nAnswer: 270349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 7. Let j be a(3). Let y be (-3)\/11*-8 + (-52)\/286. Suppose -c = -j, g - y*g - 2*c = -13. Solve 3*h = 10 + g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1639 - -44?\nAnswer: -1595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9557317 to the nearest one hundred thousand.\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2710194 is divided by 338772.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + s. Let p be l(-1). Let w = p + 0. Let y be (w - 0) + (0 - 1). Solve y = -3*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5102.\nAnswer: 2, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 43*w + 363. Let d be z(15). Let j = -22 - 36. Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 67?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 62*s - 481. Give c(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -7, -1, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0*n**2 + n + 0 + 1\/2*n**3. Let k(f) = -f**2. Give k(c(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607521727 to the power of 1\/2, to the nearest integer?\nAnswer: 24648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhf when three letters picked without replacement from foohhoohzo.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + 2*g)*(-10*g + 2*g + g)*(-1 + 2 + 1)*(-g + g**2 + g).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2392 from 11.\nAnswer: -2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 0, -6, -12, 53 in ascending order.\nAnswer: -12, -8, -6, 0, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 19, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189715284 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (1 - 0))*1. Let g(t) be the first derivative of 3*t**2 + t - 22. What is g(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5) - (-1035)\/1200?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 6. Let k = j + 2. Let y(r) = -2*r - 5. Calculate the least common multiple of y(-7) and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -40*u - 38. Let f be h(-7). Let w = f - 241. Solve 5*n - w - 24 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l = 20. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.253 - 15.253. Let x(h) = -2*h - 13. Let y be x(-10). Put i, 0.3, y in descending order.\nAnswer: y, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*g - 83*g = 1344. What is the highest common factor of g and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59700.927 to the nearest one hundred.\nAnswer: -59700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.86 + 20.86. Let y = -3440\/741 - 6\/247. Let o = 3 + -5. Sort -1, r, y, o in decreasing order.\nAnswer: r, -1, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6118*h**2*w**2 + 282*h**2 - 2*h*n*w**2 + 2*h*n*w + 26*n*w wrt w.\nAnswer: 12236*h**2 - 4*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 3:41 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 44*z - 1059. What is i(26)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1688 - 1856. Sort 5, 0, h in ascending order.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37300, -37326, -37378, -37468, -37608?\n\"Answer: -2*a**3 - a**2 - 9*a - 37288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-1 - 2 - 2). Let i(c) = c**3 + 9*c**2 + 8*c + 4. Let q be i(h). Solve 0*p = -q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 61 + 55 = 0. Let w = 83 - t. Calculate the remainder when 122 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.2. Let v = 5.4 + -5. Let i = f - v. What is the third biggest value in 0.4, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0 + (-2 + 5 + 0)*(-12 + 26 - 9))*(0*x**4 - 3*x**5 + 0*x**4) + x**5 - 3*x**5 + x**2 + 0*x**2 - 2.\nAnswer: -44*x**5 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/31 (b) 4 (c) -7\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 302?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4)*(4 + -8 + 8). Put f, 0, -2, 8 in increasing order.\nAnswer: f, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2758777350?\nAnswer: 2, 3, 5, 7, 37, 71011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 471?\nAnswer: 1\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/66652 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6*x - 7. Let u(o) = o**2 + 9*o - 10. Let v be u(-5). Let n = -1 + v. Let g = n + 26. Determine d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 21416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10140 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 24*p**2 + 26*p.\nAnswer: -2*p*(p - 1)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = 3*w - 2*w, -12 = -3*z - w. Suppose -3*g + 34 = -0*g + 4*a, -z*a - 6 = -g. Does 8 divide 6\/g + 851\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5 + -2 + sqrt(1584) - (-1 + sqrt(1584)*-3 + sqrt(1584) - sqrt(1584)) - -2*2*(sqrt(1584)*2 + -4)))**2.\nAnswer: -5184*sqrt(11) + 228420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i, -4*i - 21 + 1 = -5*l. Suppose 12 = -v - 5*j, -l*v + j = -2*v + 2. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.063 times -1216?\nAnswer: -8588.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4224 and 880?\nAnswer: 21120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/36 and -161\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138774 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**3 - s**2 + 10*s - 9. What is z(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(294)\/sqrt(6))\/(sqrt(7) - sqrt(84)\/sqrt(3)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5 - 42*p**4 + 283*p**3 - 366*p**2 - 284*p + 408 = 0?\nAnswer: -1, 1, 2, 6, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.7986261 rounded to 0 decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:42 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/18*3)\/((-2)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153443 at most as big as -0.058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 (base 9) in base 6?\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/9, -5, -22?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16510359 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from eeiiekzeeiyz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -583 + 118*p + 292 + 291 in the form m + t*p and give t.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 + 47*c + 69. Let h be i(16). Is h greater than or equal to -716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*1026\/2964.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211178216.\nAnswer: 2, 17, 1552781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 - 219. Suppose 5*j = o*n - 221, n + 4*j = 81 - 13. Calculate the highest common factor of n and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*x - 24685, m - 8*x + 5*x - 4950 = 0. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(208) - (-1*sqrt(1053))**2.\nAnswer: -1054 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f + 4*f - 6*f**3 + 9*f.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfzfzuuufigf. What is prob of sequence zizf?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -36*h**5\/5 - 21*h**4 + 428*h**3\/3 - 126*h**2 + 40*h + 183. Find m such that s(m) = 0.\nAnswer: -5, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7466)\/26)\/(-1) + 42\/(-273). Let q = i - 280. Suppose -b - 9 = -26. What is the remainder when b is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.08, -279, -0.3 in ascending order.\nAnswer: -279, -1, -0.3, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 1, d: 1, i: 1, k: 1, o: 1}. Give prob of picking 1 k and 1 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 31 from -127266.34.\nAnswer: -127297.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(24) - (sqrt(24) + sqrt(24)*-1)))\/sqrt(12) - (sqrt(2) + sqrt(288) + (sqrt(288) + sqrt(288) + -2*sqrt(288))**2).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 111 = -3*q, -1047*q - 1038*q - 50 = -2081*q - 2*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 802439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 640*f**2 - 12*f + 8?\nAnswer: 1280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 90 + 164 = 4*z, -3*i - 150 - 40 = -5*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146 by 6.\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1812094 and -1812101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 12067132.\nAnswer: 1\/6033566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-36)\/(-8))\/((-16)\/30792*(-3)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12056 - -37485. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1015 (base 6) to base 5.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 9.1 (b) 878 (c) -0.2 (d) 3\/2 (e) -3 (f) -2\/9 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/9)\/(2\/20*-3 + 2366\/420).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m - 2 - 1 - 18*m. Let j(t) be the second derivative of 0*t**3 + 0*t**2 + 0 - 1\/6*t**4 - 11*t. What is c(j(r))?\nAnswer: 16*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 30*j + (12 - 1 - 1)*(6 - 2 - 2)*(0*j - 4*j + 3*j).\nAnswer: -50*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 39*s**3 - 8*s - 9. Let q(u) = -26*u**3 + 5*u + 6. Give 5*b(o) + 8*q(o).\nAnswer: -13*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/9 - 13*z\/9 - 14\/9 = 0. Calculate z.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 3*f - 0*f + 32, 5*a = 2*f - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((5500\/(-50))\/(-660))\/((-3)\/414)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -105*k**2. Let a(u) = -211*u**2 - 1. Give 2*a(v) - 5*q(v).\nAnswer: 103*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 13 (c) 16 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 less than 1.024027?\nAnswer: -177.975973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 + 3*m + 111*m**4 - m**3 + 2*m**3 - 6*m**2 - 5 - 110*m**4 to the form f*m**3 + y*m**4 + x + w*m**2 + t*m and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 22*v = 15*v - 204700. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247707168671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*s + 16 = c - 137*s, 5*c - s = 42 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 0*a = -73*q + 294, 0*q + q = -0*q + 2*a + 2*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u - 57. Determine g(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 23 - (-14 + 4 - -4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -37.2. Let s = 3.1 + z. Let l be 4\/12 + (-70)\/(-15). Sort s, 0.1, 1, l.\nAnswer: 0.1, s, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 2)*1 + 1. Let x be (h\/((-15)\/114))\/((-3)\/63852). Let n = x - -291208. What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 30 - 24*u - 27\/2*u**2 - u**3. Determine z so that m(z) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6512715*v**3 - 14*v**2 - 474285 wrt v.\nAnswer: 39076290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3*z**4 + 37813*z - 37755*z - z**3 - z**4 + 6*z**4 to h*z + g*z**3 + a*z**2 + w*z**4 + f and give h.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*z + 5*d + 51, -d = 0. Suppose 189 = -16*j + z*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -600 - 444. Calculate the remainder when t is divided by 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 131207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/30 - 6*z**2. Let m(a) = -2*a**2 - 2*a**2 + 0*a**2. Calculate m(w(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*j - 36, 46*q - 5*j - 60 = 51*q. What is the nearest to 0.1 in q, 2, -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) 0.1 (c) 1 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*n**2 - 43*n**2 + 7844*n**3 + 4138*n**3 - 44*n**2.\nAnswer: 11982*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -203 + 15*s + s - 98 - 2110 + 9*s**3 + 33*s**3 wrt s?\nAnswer: 126*s**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449419098 divided by 74903183.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 divided by 4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1 = -4*r. Let y be ((-1)\/2 + (-2)\/(-4))*r. Solve -4*a - q = y, 0 = 2*a + 4*q - 9*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13 + (-330)\/390.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3081603299676 + 0.14?\nAnswer: -3081603299675.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014 is divided by 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(3) + sqrt(28))\/sqrt(4)*2 + (sqrt(7) - (0 + sqrt(7) + -5))*3 - (5*sqrt(63)*5 + (sqrt(7)*2 + -4)*3))**2.\nAnswer: -4158*sqrt(7) + 42232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 11*n**2 + 5*n + 68. Suppose -w + 6 = s + 10, -3*w = -2*s + 37. Is u(w) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51090670.\nAnswer: 2, 5, 5109067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2316 = -5*g - 3*k, 0 = -3*g + 6*k - 4*k + 1382. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 13*m - 35. Let h(d) = -27*d + 175. Let y be h(16). Let t = -265 - y. Calculate u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0 - 2*y**2 + 3*y + 1\/3*y**3. Let m = 11 + -7. Give c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 15*p**3 + 8*p**3 - 2*p**2 - 9 - 26*p**3 - 16*p. What is the hundreds digit of i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/659 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1899886\/65 + -29228. Find the common denominator of x and 23\/91.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216549 is divided by 290.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 22*t**2 - 2*t + 3. Let o be g(4). Suppose 5*h + 47 = o. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8887619 - 5*z + 2*z - 8887619.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 16*f**2 + 2*f - 28. Let j be g(16). Suppose j*v + 0 = 12. Solve -v - 1 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*q = -2337*q - 492*q - 32674 - 634 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -2, 120?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 3:48 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -12.45.\nAnswer: -12.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 308*h**2 - 8135. Let v(z) = 2*z. Calculate k(v(l)).\nAnswer: 1232*l**2 - 8135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - 2 - 3 + 5*b + 0 - 2*b**2. Let k(f) = -f**3 + 5*f**2 - 5*f - 2. Let q be k(4). Let w be p(q). Solve c + w = -4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176571195 is divided by 174?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1407\/27863 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 <= 670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1694*p**5\/5 + 9878*p**4\/5 - 33226*p**3\/5 - 31806*p**2\/5 - 1836*p - 864\/5 = 0. What is p?\nAnswer: -8, -2\/7, -3\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 - 1 - (-2 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -130, 3, 22.8, -5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 9. Let b = -7 + u. What is the units digit of 2*21\/b*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/8)\/2)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4744 - 4749. Which is the closest to 0.03? (a) 6 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*l = -16, 4*x + 10*l - 16 = 12*l. Solve -4*r + x = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 1\/5, -0.3, -1\/6, -6\/7.\nAnswer: -36, -6\/7, -0.3, -1\/6, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 != -4723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17475 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*l - 2\/3*l**5 + 0 + 4\/3*l**4 + 0*l**3 - 4\/3*l**2.\nAnswer: -2*l*(l - 1)**3*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Suppose v = -5*a + 5 + 10. Factor -4*l**2 + 2 + a*l**4 + 2*l**4 - 3*l**4.\nAnswer: 2*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -3.8. What is the biggest value in -0.2, 14, m?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -1\/2*u**4 + 0 + 0*u - 1\/60*u**5 + 61*u**2 - 11\/6*u**3. Find r, given that w(r) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -48*c + 1. Let d be g(-1). Suppose -5*w + d + 276 = 0. Suppose -3*p = 5*k - 48, k - w - 37 = -5*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308912 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 7) to base 12.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5229 + 5270. What is the lowest common multiple of a and 35?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2027.3 to the nearest ten.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*z = 3*z + 21, -3*n - 3*z - 24 = 0. Let q be (-2)\/6*-8*n\/24. Sort 1, q, -3 in descending order.\nAnswer: 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 338\/795 + -4\/159. Factor 4\/5*h - t - 2\/5*h**2.\nAnswer: -2*(h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9754339 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.114102?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 n when three letters picked without replacement from {n: 7, d: 6}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.889752 to two decimal places.\nAnswer: -55.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 22*h**2 + 3*h - 8. Suppose -31 + 9 = -11*y. Let x(g) = -g + 6. Calculate the remainder when t(y) is divided by x(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1029 in 0, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*s - 195*s = 4*r - 1, 2*r - 28 = 4*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 11757 - 1938 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/2240)\/(3300\/1540).\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 206.551 + 0.449. Let s = 206.907 - t. What is s rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58 + 105285?\nAnswer: 105332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 10*r**2 - 13*r + 19. Let x be u(-8). Which is the closest to x? (a) 5 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*q**5 - 73*q - 1.\nAnswer: -1420*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -240279871 and -0.2.\nAnswer: -240279871.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-234)\/60)*19*(-6)\/(-2565)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n + 4. Let g(t) = -6494*t**2 + 131. What is o(g(v))?\nAnswer: 25976*v**2 - 520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {k: 1, g: 4, i: 2, o: 7, u: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 8*v**2 + 9*v + 1. Let s be i(-4). Suppose 22*f - s = 65. Which is smaller: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 - 14*h - 1. Let d(t) = -t**2 - t + 1. Let w(u) = -6*d(u) + s(u). What is the tens digit of w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 255, 382, 509, 636?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 - 1 - 4*o**2 + 3*o**2 + 24*o**2 as k*o + u + s*o**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 44, 63, 80, 95?\n\"Answer: -z**2 + 24*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**4\/8 - 11*w**3\/6 - w**2. What is the tens digit of n(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15387*o**3 + 5*o**2 - 6*o - 8842.\nAnswer: -92322*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 659\/232 + 1\/29. Let m = -4 - -6. Calculate the common denominator of r and 106\/(-6) - m\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2\/7 - 12*t\/7 - 16\/7 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)*t*t**(-2\/37))\/(t**(-3\/10)\/t*t**(6\/5)) assuming t is positive.\nAnswer: t**(387\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/13 - (-14)\/91. Suppose 52 = a - b. Let f be a\/(-39) - (-20)\/6. Solve -5*h + f*w = 8, -7*w = -h - 2*w + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q + q - 5*q)*(-13 + 0 - 1)*(0 + 1 + 3 + (0 - 1 - 1)*(-1 - 1 + 1)) to the form u + n*q and give n.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -500 (b) -7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3*w**5 - 24*s**3*w**3 - 13*s**3 - 6*s*w wrt w?\nAnswer: 40*s**3*w**3 - 144*s**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 557 + -544. Calculate the remainder when 62 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5\/9 + 3380*k**4\/9 - 7910*k**3\/3 - 7900*k**2 + 10161*k = 0.\nAnswer: -3387, -3, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -54. Let g(b) = b**2 + 4*b - 4. Let p be g(v). Which is bigger: 1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002458 rounded to 6 decimal places?\nAnswer: -0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*k - 556*k + 59*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*(k\/(k\/(k\/(k**(-1\/9)\/k))))\/k*k*k)*k**6\/k assuming k is positive.\nAnswer: k**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15288 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -884.9 - -885.3. Which is the closest to 0.04? (a) 1 (b) v (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-2) + (-117)\/18. Let t = 2.4 + -2. Sort t, x, 3.\nAnswer: x, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 109. Suppose 10*p - 22310 = -a*p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 4. Let p be (-1)\/t + 28\/(-6). Let f(r) be the second derivative of r**5\/20 + r**4\/2 + 5*r**3\/6 + r**2\/2 - 2*r. Give f(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330 - 1130*b + 1138*b + 330.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 o when three letters picked without replacement from syssskydossslsddys?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.054353611 to 5 decimal places.\nAnswer: -0.05435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/(((i\/i**(-6)*i)\/i)\/i))**(-1\/15)\/(((i\/(i\/(i*i**2)))\/i)\/i*i\/((i*i**4)\/i))**(-2\/55) assuming i is positive.\nAnswer: i**(-1\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 122655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2223, -4, -0.53.\nAnswer: -2223, -5, -4, -0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4\/5 - 5*b**3 + 6*b**2\/5 + 16*b\/5 = 0.\nAnswer: -2\/3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -1316. Let f be 12\/15*65\/2. Let q = m + f. What is q rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 + 28*u - 5. Calculate the remainder when i(8) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (-3*sqrt(66) + sqrt(66))\/sqrt(6) + (sqrt(396) + sqrt(11))*4.\nAnswer: 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -26. Let d(j) = -2*j - g*j + j**3 + 9*j + 1. Determine d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 11*j**3 + 2*j**2 + j + 1. Calculate a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s + 0*s - 14*s + 3*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572165 is divided by 119.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Solve -t = -0*t - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 18 = 2*y, -3*c - 5*y + 1 - 6 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16221535.\nAnswer: 5, 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 + 5*a + 4. Let x be m(-4). Suppose -3*r - 9603 = -3*q - x*q, 0 = q - 3*r - 3205. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 4. Let j be (-6)\/(-1 + -5) + 4. What is the smallest common multiple of n(j) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**3 + 2*u**2 + 3*u - 1. Does 7 divide k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/792 and 41\/9.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -748 + 1068. What is the highest common factor of v and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 1, 3, 2.\nAnswer: -10, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4594 - 4584.0024. Let o = 10 - b. Round o to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**4\/24 - y**3 + 2*y**2. Let l(p) = 1. Let b(n) = d(n) + 6*l(n). Let o(k) = -2*k**2. What is b(o(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 66 - 137 - 12*f + f**2 + 52. What is j(12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let h = 1 + 2. Suppose 6 = m - n, 18 + 4 = -h*m - 5*n. Put m, 2, p in descending order.\nAnswer: p, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(396)) + sqrt(66)\/sqrt(6)*-5 + -2)**2*1*5.\nAnswer: 130*sqrt(11) + 9300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.8821 to one decimal place.\nAnswer: -33.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:47 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/27, 4, -2137 in decreasing order.\nAnswer: 4, 1\/27, -2137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11001110 (base 2) to base 8\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273512218?\nAnswer: 2, 7, 17, 164173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p**7 + 0 + 0*p + 0*p**5 - 19\/24*p**4 + 20*p**2 - 1\/84*p**8 + 0*p**3 + 0*p**6. What is the second derivative of l(d) wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -7*l - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10353149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20455 (base 7) in base 5?\nAnswer: -130123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 14 + 30 - 44.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124911804?\nAnswer: 2, 3, 23, 452579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 0 + -2 - 12270\/(-21). Let p = z + -580. Suppose 3*l + 4*w + 2 = 0, 2*l + 8*w = 3*w - 6. Is p smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3090000 to the nearest ten thousand.\nAnswer: 3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622777 (base 12) to base 2.\nAnswer: 101110111101111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1801 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2441, -9801, -22069, -39245, -61329, -88321?\n\"Answer: -2454*d**2 + 2*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - 3*x + 3*x)*(-4*x**2 - 9*x**2 + 5*x**2) in the form o + f*x**2 + a*x**3 + z*x + s*x**4 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7483228um in kilometers?\nAnswer: 0.0000000007483228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(1095\/(-3)))\/(1*((-170)\/(-17))\/(-50))?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4972330 rounded to the nearest ten thousand?\nAnswer: -4970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 50. Let h(i) be the second derivative of -i**4\/12 + 115*i. Give h(g(t)).\nAnswer: -t**2 + 100*t - 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -19*i**2 - 203*i - 413. Determine g(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 20 - 19)*((3*y - 5*y + y)*(-3*y + 6*y - 2*y) + (0*y - 2*y + 3*y)*(8*y - 120*y + 7*y)).\nAnswer: -5088*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334, -337, -340, -343?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 52. Let y be (-2)\/(-8) - (335\/4)\/(-5). Let m be j(y). Is m less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 74*b + 681. Determine c(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 61. Let f(x) = x**2 + x + 14. What is the remainder when 82 is divided by f(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 621222 by 207074.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8703 take away 23?\nAnswer: -8726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 + 197. Suppose 0 = -5*d + 2*j + h, 3*d = -3*j + 59 + 16. What is the highest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**3 - 4*s**2 + 4*s - 5. Calculate the remainder when c(4) is divided by 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - 3550\/400 - (-3)\/(-24).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 7:23 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 375 + 1\/((-10)\/40). Round m to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:06 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -188. Let r = -92 + c. Calculate the least common multiple of 8 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 192673 - 51581 = 0. What are the prime factors of p?\nAnswer: 2, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155143*f**3*q**5 + 2744*f**3 - 4*f**2*q**2 + q**2 wrt q.\nAnswer: 9308580*f**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1724936 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 7:12 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3540 and -49\/40?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p + 6. Suppose -q = -4*q + 66. Calculate the remainder when q is divided by r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 11 - 7508*f**2 + 3722*f**2 - 7 + 3793*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.97 + -2.97. Put 5, -0.1, -3, m in decreasing order.\nAnswer: 5, m, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -367348844 - -367348952.19998052. Let d = 108.2 - k. Round d to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (sqrt(34) - -4*(-2*sqrt(34) - sqrt(34))))\/(5*(sqrt(2) - (sqrt(2)*-4 + sqrt(2) - sqrt(2)) - sqrt(2))).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 166.4.\nAnswer: 33.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Let n = s + -1.9. Which is the biggest value? (a) 1 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -43*m - 1. Let j(s) be the second derivative of -s**4\/12 - 18*s. Determine t(j(n)).\nAnswer: 43*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 5*t**2 + 6*t - 5. Let x be g(4). Let h be 6 + x\/(-3) - 1. Let y = 1 + h. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. What is the second smallest value in -8\/7, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = r - 5, -5*r + 7*c + 25 = 2*c. Solve r*d + 17 = 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4199 - -16751\/4. What is the common denominator of x and 37\/339?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**2\/5 - 10628*x\/5 - 4248 = 0.\nAnswer: -2655, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207 - 351. Let d = s + 128. Which is bigger: -1\/7 or d?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 94071284*l + 94071288.\nAnswer: -4*(l - 23517822)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 2}. What is prob of picking 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320 and 6.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) 5 (b) 3\/4 (c) 1\/14 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187)\/(2*sqrt(275))*6 + (sqrt(68)*-4*-2)\/((sqrt(4) - sqrt(8)\/sqrt(2))*4 + sqrt(4)))**2.\nAnswer: 19652\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163463*p - 168090 with respect to p.\nAnswer: -163463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3*r - 24, -r - 370*t + 8 = -365*t for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/71703 and -61\/372.\nAnswer: 286812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 11:42 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3534934\/283 or 12492?\nAnswer: 12492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69249205, -69249206, -69249207?\nAnswer: -69249208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/20*(-80)\/20.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkqqzzqkqq. Give prob of picking 4 z.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1988*m**5 - 700*m wrt m.\nAnswer: 39760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 214 - 653. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = -5*z, 4*o - 76 = 5*z. Is ((-21)\/o - -1)\/((-1)\/7814) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 - 32*l**3 - 30*l**3 + 55*l**3 to the form b*l**2 + d*l + m + f*l**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -10*u**3 - 11\/2*u**2 + 0*u + 20. Find the second derivative of f(z) wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6019?\nAnswer: 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 1612 - 1614 = -4*b, -c + 1 = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -42 - -33) + (-58 - -8 - 8).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3935024 and -0.4.\nAnswer: -1574009.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5 + 13 + -29 + 14557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/((-45)\/34))\/(225\/27 + 0) and 44\/685?\nAnswer: 17125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-217)\/(-2)*576\/84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 832.7 - 878. Let u = 45 + w. What is the nearest to 2 in 2\/5, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-8)\/(-4)*1). Let z = 1\/10 + i. Is z >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 6:14 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = -0*c. Let s be (c\/(-4))\/((-1)\/2). Suppose l**4 + 2*l**s + 4*l**4 - 3*l**4 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(2*y**2 + y - y) - 11*y**2 + 7*y**2 - 16*y**2 - 99*y**2 - 25*y - 5*y + 97*y**2.\nAnswer: -20*y**2 - 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajxxiwxziji. What is prob of picking 1 x, 2 i, and 1 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 1917061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - -1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -118429, -118414, -118399, -118384, -118369?\n\"Answer: 15*z - 118444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 245*i**4 + 4*i**4 + 50*i**4 + i**3 - i**3 - 2*i**4 - 2*i**2 + i**4 + 2*i**2 + (4 - 3 + 1)*(-3*i**4 - i**4 + 5*i**4).\nAnswer: 300*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -7*w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99409957 to the power of 1\/2, to the nearest integer?\nAnswer: 9970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -27415410 (base 8) in base 12?\nAnswer: -2095060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -22. Solve p*i + i = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 6*t**3 + 4*t**3 + (2 + 3 - 3)*(-3*t + 3*t + 2*t**3) - 69293190*t**2 + 69293190*t**2 + 4*t**3 - 367 + 2*t.\nAnswer: 9*t**3 + 2*t - 367","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 17}. What is prob of picking 1 b and 1 j?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-36))\/((-4)\/(12\/(-1)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1684182 or -0.1?\nAnswer: 1684182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1115 and 1103 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-210)\/(-630) - 8\/6)\/(2\/8). Let l(s) = -14*s + 93. Let q(f) = 5*f - 31. Give h*l(n) - 11*q(n).\nAnswer: n - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*w - 5 = 0, 4*h - 11442*w - 2 = -11440*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3199877, 6399759, 9599641, 12799523, 15999405, 19199287?\nAnswer: 22399169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8594 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-16) + ((-150)\/12)\/((-12)\/21). Solve -l*j = 91 - 47 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1721.5 - 1722. What is the nearest to -180 in 0, -0.4, d, -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 570953, 571026, 571149, 571322, 571545, 571818?\n\"Answer: 25*p**2 - 2*p + 570930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9641985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/81 in 2, -3, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 - 13*h**3 - 23*h**3 - 10*h**2 + 33*h**3 to the form q*h + s*h**2 + k*h**3 + n and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 340346983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1822, -0.3, 0.4?\nAnswer: -1822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/475*(-4)\/(-6).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309?\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79578 is divided by 130?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 690*q + 1034\/3 + 4\/3*q**2 = 0?\nAnswer: -517, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 305645 and 14304186.\nAnswer: 71520930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2 (c) 0 (d) 42\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-11 - (11\/77 - (-66)\/(-21)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*h**3 - 20*h**3 + 443*h + 3218*h + 68*h**5 - 3*h**4 - 105*h**5 wrt h.\nAnswer: -740*h**3 - 36*h**2 + 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 5 + 86*b - 44*b - 41*b - 7.\nAnswer: b - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6693.383 millilitres in litres?\nAnswer: 6.693383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i**3 - 10*i**2 + 3*i - 23. Let r be s(7). Let j(b) = 3*b - 1127 - 5*b - 1122 + r. Give j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*m + 40 = 0, -3*f - m = f - 25. Solve -f*u - 6*r + 20 = -r, -3*u = 2*r - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**4\/4 + 4*d**3\/3 - 2*d - 5. Determine g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 3. Let n be z(0). Suppose -12*i + 13*i - 2 = 0. Suppose i*v - 455 = -n*v. What is the remainder when v is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 4, k: 6, p: 6}. Give prob of picking 1 q and 3 k.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -464 - -463.952. Let u = t - 0.052. What is the smallest value in u, 5, -2\/3, 4\/17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 6*q**2 - 5. Let r be a(5). Suppose -3*x = 2*x - r. Solve -x*i = -2*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*h**2 - 3*h + 2*h + 0 - 3 to w*h**2 + d + b*h and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 18 - (7 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 k when three letters picked without replacement from jkkkjakjhhjjkkme.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 59, 103, 163?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 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 the closest to -2757 in -0.1, 5, 2\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*x + 291*x - 22870710 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:14 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1381\/9 + -153. Find the common denominator of v and -67\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*v = -535, -3*u + 106 = -4*v - 212. Let f = 4348 - 4236. Let h = f - u. Solve -h*d + y + 3 = -0, 4*d = -5*y + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2)*0\/1. Suppose -3*j + q + 3*q - 64 = n, -2*j - 5*q - 12 = 0. Let c = 3 - j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102\/5 - -734\/35. Let q = -1.1 - -1.12. Let p = 0.28 + q. Which is the closest to p? (a) 1 (b) k (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/6 + a**3\/2 + 2*a**2. What is the derivative of i(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/24 - 29\/120. Let j = -0.13 + -4.87. Let i = -2.1 - -2. Which is the nearest to i? (a) -0.3 (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -106516*d**2. Let r(s) = 7*s. Calculate t(r(i)).\nAnswer: -5219284*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*g - 381*g = -20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*r - 117, 5*r - 2*b + 43 = 172. Let x = 15 - r. Let d = x + 34. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.0061397 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 4*b**2 + b - 2. Determine f(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -22 + 1 + 6\/(-3). Let b = w - -104. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5 + n**2 + 1 + 3 - 3*n**3. Let f be w(1). Let t = 25 + -23. Sort f, -5, t.\nAnswer: -5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4533 times 7?\nAnswer: -31731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-5265)\/52)\/(-27) + (-4)\/(-8)*-6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/428636?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*l - l. Let x = 9 - l. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39 - -21.61. Let p = y - 34.5. Round p to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 16. Let w = 44 - 38. What is the least common multiple of n and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u + 2. Let d be h(0). Suppose 44 = d*c + 2*c. Suppose c*t = 6*t + 40. Calculate the greatest common factor of t and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -689 + 688.6. What is the nearest to -1 in r, -2\/7, -356?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*x + 22, r + 35 = -3*r - 5*x. Let j = 13 - r. Let a = 53 - j. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.65 - 10.5. Let j = -0.05 + 0.2. Let b = h - j. What is the nearest to b in 1\/2, 1, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 2*t**2 + 3*t\/2.\nAnswer: t*(t - 3)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbkebktkkrsbbeb. Give prob of picking 1 b and 2 e.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a - 10. Suppose g + a = -0. Let m(q) be the third derivative of -q**5\/60 - q**4\/4 + q**3\/6 - q**2. Calculate m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4713 + -4712. Suppose 2*d + 82 = -0*d. Which is smaller: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34202\/39979 or 1?\nAnswer: 34202\/39979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 3. Let o = -96 + 99. Suppose -10\/7*b**v + 2*b**2 - 4\/7 - 6\/7*b**o + 6\/7*b = 0. What is b?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12121126 (base 7) in base 15?\nAnswer: -1653c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -2. Let f = 1532 + -13790\/9. Which is the closest to 1? (a) k (b) f (c) -3\/8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4460947028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 2. Let h(c) = c**2 - c + 1. Suppose 3*b - 2*f = 13, 0*b - 2*f - 8 = 2*b. Let d(q) = b*h(q) - r(q). Determine d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**2 + 2*m**2 - 271418*m + 271385*m - m**3 - 390*m**4 wrt m.\nAnswer: -9360*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10720 + 10723. Which is bigger: -0.0127 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(1 - 3 + 1) - 2 + 3 - 3)*(117 + 65 + 42)*(-29*m + 1 + 1 - 3 - m**2).\nAnswer: 672*m**2 + 19488*m + 672","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**6 - 2*l**5 + 33*l**4 - 5*l**2 + 250*l wrt l?\nAnswer: 360*l**3 - 120*l**2 + 792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (-2 - -7) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179653849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 4) + -3 + (2 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13044923 + 4?\nAnswer: -1304491a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 8, 31, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386c1 (base 14) in base 13?\nAnswer: 4b0a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 827 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 29*r**2 + 16*r + 5. Let q be m(-3). Suppose 222 = -212*f + q*f. Calculate the greatest common factor of 37 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 1133 - 664 + 369 in the form r*c + w and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2608*z**5 - 14*z**4 + 396*z - 864.\nAnswer: 52160*z**3 - 168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeaaaaaeebaaaaaa. Give prob of picking 2 a.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -11.2. What is the smallest value in y, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-4))\/(2\/(-4)). Let k = 6 - 4. Suppose s + 8 = k*y, z*s - 3*y - 8 = -27. Which is the second smallest value? (a) -0.4 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 28. Give o(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*o = 2*v - 25, 0 = 3*v + o - 5. Suppose -2*g - 4 - 1 = j, j - 23 = 5*g. Let x be g\/10 - 72\/(-30). Solve -x*p + 7*p = 3*n + 10, v = -n + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (95\/3 - 2). Let a*n**3 - 32\/3*n**2 + 4\/3*n - 49\/3*n**4 + 0 = 0. What is n?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6089930 and -6089952 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whhh. What is prob of picking 1 w and 2 h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -15. Let t be -2 + -2 + r + 16. Let z = -5 + t. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.799988 rounded to 3 dps?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 32*l - 46. Let n be b(2). Let c(s) = 5*s - 2. Let f be c(4). What is the highest common factor of n and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 998067262 - -43467236. Let l = 1041534763.9999674 - q. Let p = l + -266. Round p to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5 + 51. Let v be p\/4 - (-2)\/4. What is the common denominator of -55\/9 and -25*v\/(-12) + -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -94? (a) 0.5 (b) -1\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 16*c + 27. Let l(g) be the second derivative of 0*g**3 + 3*g - 1\/130*g**c - 1\/78*g**4 + 0*g**2 + 0. Determine t so that l(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 854945 and 2275.\nAnswer: 4274725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(15\/(-10) + -1). Let p be b\/(-3)*9\/(-5). Solve -3*m - 4*r + 0 = 7, r + p = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 2322925?\nAnswer: 4645850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 1. Let t(g) = -84*g**2 + 63. Give -63*f(r) + t(r).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(693)\/((sqrt(11) - 4*(sqrt(11)*2 + sqrt(11))) + sqrt(11))*-4.\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 10*z**2 + 11*z + 2. Let r be f(6). Let j = r - -86. What is the remainder when 12 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4403 - 1358. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*b + 4*q, 5*b - 3*q = 2 + 4. Solve 0 = -4*s - r + 20, -b*r + 4 + 0 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356294088 divided by 36.\nAnswer: 9897058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 233 in ascending order.\nAnswer: -3, -2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43003142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 7 - 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 + 1 = 0. Let z(j) be the first derivative of 7*j**3\/3 + j**2\/2 + j + 1. Calculate z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - 4*j + (-6 + 3 + 1)*(1 - 1 + 3*j) + (14*j + 9*j - 14*j)*(4 - 3 - 3) + (0 + 0 + 2*j)*(19 + 31 + 115))*(-1 + 1 - 1).\nAnswer: -304*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -2*s**3\/3 - 5*s**2\/2 - 27. Let m = 3 - 1. Suppose -g + m*g + 4 = 0. Give q(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000443402015 to 6 dps.\nAnswer: -0.000443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - 6541*h**5 - 6750*h**5 + 13064*h**5 + (h - 4*h + 4*h)*(38*h**2 - 38*h**2 - 2*h**4 + 3*h**3).\nAnswer: -229*h**5 + 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, o: 6}. What is prob of picking 2 y?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996211.\nAnswer: 7, 40739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 14465.\nAnswer: 28930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*s - 5*d, 10*s - 5*s - 27 = -4*d. Suppose -4*c - 2*y + 98 = 0, 81 - 7 = 3*c + 2*y. Sort 5, c, s.\nAnswer: s, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 7*y - 7. Let f be u(-2). Suppose 0 = -5*c - f*c + 64. Solve p + p = -c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 2*s - 28, -3*d - 8*s + 42 = -3*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1083 + -1061. What is the greatest common divisor of 1540 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*t**3 - 3218*k*t**2*x**3 + 16*t**3*x**3 + 8*t**3*x + 12*t**3 wrt k?\nAnswer: t**3 - 3218*t**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(1\/3))**(-15\/2)*n**(1\/15)*n**(25\/3) assuming n is positive.\nAnswer: n**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + 3*j - 4. Suppose 12 = -15*z + 9*z. Let p be u(z). Solve m - p*m - 30 = 5*f, -f = 4*m + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, 4, 1 in decreasing order.\nAnswer: 4, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l + 5*l**2 + 10 - 5*l - 7*l = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -291531? (a) 5 (b) -3 (c) -0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n**2. Let x(z) = z**2 - 3*z + 4. Let p(c) = -2*c + 4. Let u(t) = -2*p(t) + 2*x(t). Determine r(u(l)).\nAnswer: 52*l**4 - 104*l**3 + 52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2657 + -2457. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11*m + 73. Let n(i) = -6*i + 36. Calculate 7*n(u) - 4*x(u).\nAnswer: 2*u - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p + 37. Let m be i(10). Let h = m + -45. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = -3*u. Let a(q) = 6 - q**2 - 6*q + 0 - 5. Give a(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 29779*a**2 - 3*a. Let i be r(3). Suppose y + 4*m = 3*y - i, 2*y - 2*m - 268000 = 0. Let s be 7 + -6 - -1*y. Round s to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 8, 2*l = -3*d + 352. Suppose -147*c - l = -152*c. What is the remainder when 119 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/9 + 323*j**4\/3 - 12731*j**3\/9 + 11473*j**2\/3 + 48118*j\/9 = 0.\nAnswer: -982, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331 + -316. Suppose 25*y - 24*y + o = -3*v, -4*y = -v - 5. Let s(m) = m + 7. Let u be s(-5). Solve y*i + 6 = u*h - 4*i, 3*h = 5*i + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*s + 3*n, 5*s + 0*n - 11 = 2*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o**3 - 6698 + 13398 + o - 6697 as u*o**3 + j*o**2 + v*o + w and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66138317 + 66138342.00000025. Let j = 25 - i. Round j to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 29 + 7 + 9 + (1 - 7).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*u**4 + 2*u**3 - 411984*u**2 + 1397*u - 12335 wrt u?\nAnswer: 336*u**2 + 12*u - 823968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42353.99nm in millimeters?\nAnswer: 0.04235399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 763 - 708. Let t = 333 - a. List the prime factors of t.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.472 + 0.417. Which is smaller: 7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115 or -3\/1442215?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 2*v - 8. Let r be g(-6). Let z(n) = 13*n**2 + 7*n + 2. Let q be z(-2). Calculate the highest common divisor of r and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:39 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(16\/96*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.9 - -29.2. Let w = g - 13.1. Let a(c) = 5*c**2 + c - 1. Let x be a(1). What is the third biggest value in w, x, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138095 is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.51 - 1.55. Let l = s + 0.14. Let g = l + 0.79. Round g to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-540))\/((-2)\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 15. What are the prime factors of (-1)\/(-4) - (838\/d)\/1?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2038.1 and -0.04.\nAnswer: 81.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2104 * -0.1\nAnswer: 210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*d - 7586, 22*n - 2*d = 27*n - 19025. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 5. Let k be a(-6). Suppose -2*q - i = -4, 37*q - 2*i = 36*q - 8. Solve k*o - 2*o - 6 = -4*p, q = -2*p - 4*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030608 minus -26.14?\nAnswer: 26.170608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 1. Let n = j + 56.12. Let z = -0.12 + n. Sort -1\/2, z, -4 in decreasing order.\nAnswer: z, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/4 + 3051*q**2\/4 + 233415*q\/4 + 4521933\/4 = 0. Calculate q.\nAnswer: -2973, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g. Let b(l) = -8*l**2 + 6*l + 6. Let j(o) = -o**2 + o + 1. Let n(q) = -b(q) + 6*j(q). What is a(n(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.04, 0.5, -5, -0.04, 0.4, -3 in increasing order.\nAnswer: -5, -3, -0.04, 0.4, 0.5, 1.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13080 and 3530510?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -170083?\nAnswer: -340166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Suppose 1 = -2*g + z. Determine t so that -10*t**g - 3*t**3 - 2*t**2 + 6*t**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1550*o + 87*o**2 - 1550*o)*(-4*o**2 + 5*o**2 + 2*o**2).\nAnswer: 261*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*a = -a + 11, 3*a = -5*v + 33. Let g be (v\/8)\/(5\/(-40)). Let c be 34\/6 + g\/(-18). Solve c*i = i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18))\/sqrt(6) + sqrt(75) + 2.\nAnswer: 2 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**4*j + 7*h**2 + 2*h*j**2 - 60*j**2 + j wrt h?\nAnswer: -4*h**3*j + 14*h + 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**3 - 2*s**3 - 2*s**3 + (s + 0 + 0)*(-8*s**2 + 3*s**2 + 2*s**2) + 0*s**3 - s**3 + 5*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((-14)\/(-21) - 1). Sort g, -5, 14, 3 in decreasing order.\nAnswer: 14, 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9427 rounded to one decimal place?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -41. Which is the third biggest value? (a) -0.3 (b) -4 (c) h (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260097 is divided by 850.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 21 = 2*n + 3*a, -4*n + 652 = a + 675 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -392 - -392.4. Let u = -66\/13 - -331\/78. Which is the smallest value? (a) 5 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/99216 and 7\/255048?\nAnswer: 1054368432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -137208 times -14517?\nAnswer: 1991848536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 2, d: 1, i: 1, t: 2}. What is prob of sequence ikdk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1539818, -3079634, -4619448, -6159260, -7699070?\n\"Answer: n**2 - 1539819*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 7*u - 6*u, -5*u = 2*p + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 + 9*c - 4. Calculate y(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.850003786 - -47.85. What is z rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (99 + 25\/(-5))\/2. Let k be (1\/3*-10)\/((-34)\/51). Is h at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/150)\/(63\/12)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -769155 and -3.12.\nAnswer: 2399763.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -286 + 249. Which is the smallest value? (a) w (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3. Suppose 30 = 3*l - g*l. What is the smallest common multiple of (-19)\/(-76) - (-23)\/4 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 74*f**2 - 18*f + 22. Let j be l(2). Suppose j*o = 281*o. Factor 4\/15*n**3 + 0 - 2\/15*n**4 - 2\/15*n**2 + o*n.\nAnswer: -2*n**2*(n - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*m = 978, 16 = -6*m + 2*m. Let g = f - 122. Suppose g = -t + 5*t. What is the greatest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2217 - 2*o - 2*o**2 + 94 - 244 to the form r + i*o**2 + t*o and give r.\nAnswer: 2067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29104 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 at most as big as -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -277, -0.023, 3, 7237?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 5*p + 5. Let m be y(-5). Suppose 3*f + 52 = m*f. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 192 = -145*g + 95*g, 4*p = -0*g + 5*g + 99 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1943*m + 224. Is 13 a factor of h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232152 (base 6) in base 9?\nAnswer: 30315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-11) - (-172392)\/484 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 453 = 621. Solve 4*v + 3*v + z = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 82 + 2*y**2 + 41 to the form l*y + m + o*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x**2 + 137*x + 25. Let c = 12771 + -12788. Determine t(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4740364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 135 + -68 + (6 - 0 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 5*g**2 + 4*g**2)*(9*g + 11*g + 6*g).\nAnswer: 104*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21911027?\nAnswer: 21911027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 644*j**3 - 308*j**2 + 28*j. Let x(g) = -129*g**3 + 62*g**2 - 6*g. Let c(d) = -14*x(d) - 3*y(d). What is the third derivative of c(o) wrt o?\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/6*(-1)\/(-2). Suppose 0*o + a*o - 1128 = 0. Suppose 4*q - 4*b = 564, 0 = 3*q + q - 3*b - o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 639 - 639. Let j(n) be the second derivative of -5\/2*n**2 + y*n**3 + 0 + 4*n - 11\/12*n**4. Differentiate j(z) with respect to z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027199 a multiple of 1251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48197 - 2362. What is the hundreds digit of (k\/(-171))\/(((-2)\/1)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.345701919 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60848471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110958\/95 + 1168. Let n = g + 87\/380. What is t in -3\/4*t + 1\/2 + n*t**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/720 + 5*k**4\/8 + 6*k**2. Let d(n) be the second derivative of v(n). Let s(q) = -15*q. What is d(s(u))?\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - l - 1)*(2*l + 7 + 0 - 2)*(0*l - 2*l - 3*l).\nAnswer: 10*l**3 + 45*l**2 + 50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and 334\/(-84) - (-44)\/33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 = 4*j - 5*o, 0 = -o + 5. Suppose -40 = -5*x + 4*v - v, 0 = -3*x - 4*v - j. Let k(l) = -l**3 + 6*l**2 - 6*l - 1. Determine k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109\/34 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3375.83 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619208465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(3 + -1 + sqrt(425) + -2 + -4)*-6)**2.\nAnswer: -1440*sqrt(17) + 15881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 51, -1\/9177, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r + 27*r - 62*r + 10*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 76129, 1\/36, -0.7 in increasing order.\nAnswer: -0.7, -2\/15, 1\/36, 76129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (529 - 2014 - 1874)*((4*f**2 + 0*f**2 - 3*f**2)*(f + 0 + 0) + 2*f**3 - 3*f**3 + 3*f**3).\nAnswer: -10077*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29691 and 28.\nAnswer: -29663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*d - 196 = 0, 586 = 3*y - 5*d - 0*d. Let v = -4033\/21 + y. Put 5, -2\/15, v in increasing order.\nAnswer: -2\/15, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*n**3 + 126274*c**3*n - 23*c*n**3 + 2*c*n - 4686*c - 2 wrt c.\nAnswer: 6*c*n**3 + 757644*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Suppose 10 = -5*h - f*c, -2*c + 5*c + 6 = 4*h. Is 33*((-1 - h) + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45605 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 5. Let n(c) = -7*c + 21. Calculate 9*h(v) + 2*n(v).\nAnswer: 4*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*a - 51*a + 25*a + 2)*(0*a**2 - a**2 + 3*a**2).\nAnswer: 34*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176967134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t - 4*n + 8 = 0, 4 = -4*t + 5*n. Suppose 3*f = -4*h + t, 3*h - 2*f = f + 24. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (-40)\/(-2)*(-9)\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*l = 55, 5*l = 4*w - 0*l - 160. Suppose -5*a = 5*z - 40, 2*z + 3*a - w = -2*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 + 25*l**2 - 9*l + 22*l.\nAnswer: 15*l**2 + 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + (-5 - -5) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4\/5 + 282*m**3\/5 + 5817*m**2\/5 + 25872*m\/5 = 0. What is m?\nAnswer: -11, -7, 0, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -34. Calculate the highest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 5*d, 3*d = -3*u + 6*u - 9. Let b be -1*u\/(3\/(-3)). Suppose -16 = -b*q + 44. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 0 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/30 - (-2)\/24*-47 and 64\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 2*g + 3. Let r be t(-4). Let w = 294800 + -294796. Which is the closest to -3? (a) r (b) w (c) 2\/7 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40, 254, 752, 1454, 2360?\n\"Answer: 102*y**2 - 12*y - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.028 + -1.028. Let k = 4 + -1. What is the closest to 0.1 in k, a, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26275031 - -4?\nAnswer: 26275035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/11 and -49\/18138.\nAnswer: 199518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/130 - (-5232)\/33670. Let p = t - -66037\/5180. Find the common denominator of p and -51 + 3*(1\/(-3) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 38. Let z be l(-10). Suppose -2*i - 3*v - 81 = 0, 3*i + 3*v - 192 = z*i. What are the prime factors of (-449)\/(-3) - 52\/i?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299 + 865. What are the prime factors of n?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-15)*(-4305)\/(-492)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3565.879 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3 + 5*v + 5*v - 6*v - 10. Let j be x(4). Solve 0 = -2*u - j - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008096668141 to 4 decimal places.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 1. Suppose v + 0*v - y = 0. Let u be (-3 + v)*2\/2. Solve h = 5*b + 3*h - 35, -2*b + u*h = 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/24 + 37*d**3\/6 + 4*d**2 - 4*d. Let r(t) be the first derivative of m(t). Let h(k) = -k**2. Determine r(h(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5247208 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/72 - 1\/3. Let t be (-3)\/((3\/6)\/((-22)\/(-66))). Which is the closest to 2\/3? (a) 0.3 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3530 by 5.\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1136\/781)\/4)\/((-54)\/(-858))?\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 452\/9 + (-2)\/9. Let w = -29 + u. Suppose -8*q + 5*q = -111. Calculate the remainder when q is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:10 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 170*m**3 + 425*m**2 + 5*m + 3. Does 17 divide t(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 - ((99 - 106) + 16 + 5)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317223160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 899\/449 (b) -5\/3 (c) 2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n + 14600 = -400*n - 7*n + 73*n for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 429?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 174\/(-4)*(-3 + 2)*2 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4706, -5, -3, -2.\nAnswer: -4706, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39\/13 + 5\/(-1). Let s be -1 - 2 - 1546*(-14489)\/l. Round s to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2*z - 112 + 120, 3*z - 27 = -5*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.09 (c) 303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3196.517 - -4\nAnswer: -3192.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26001312 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2342634 divided by -3281?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0 + 4*y + 0. Let q(z) = -17*z - 22. Let r(t) = 6*t + 8. Let o(s) = 4*q(s) + 11*r(s). Determine o(u(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**2*o*s**2 + 3*m**2*s*y - m**2 + 29*m*o*s - o*s**2*y - 2*s**2 + 4*y wrt y.\nAnswer: 3*m**2*s - o*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -18. Solve -u + c - 2 = -4*n, -u + n - 4 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572 times 76.514\nAnswer: 43766.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22740, -44118, -65496?\nAnswer: -86874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64445 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**3 + 278564*p**2 + 92854*p.\nAnswer: 2*p*(p + 46427)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-1 + 1 + 2)*(n - 2*n + 0*n - 3 + 3 - n + (-4 + 0 + 2)*(3*n - 3*n - n) - n - n + 3*n + 2 + 2*n - 2 + 5*n - 3*n - n).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/9670593 and -88\/48352965?\nAnswer: 48352965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 17019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*w - 2587 = -142*w + 6933 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15056655 + -240?\nAnswer: 15056415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058255 to the power of 1\/2, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:17 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 + 242*x**3 + 724*x**2\/3.\nAnswer: 2*x**2*(x + 1)*(x + 362)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-159)\/45 + 2 - 62\/(-310). What is the third smallest value in 1, -2, 67, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 449113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 378, 1\/6, -2, -5\/12, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*(-6)\/(-9)*-1. Do v and -3\/59 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42899176 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = -2*x - 12, -13 = 4*x - 5*a. Let o(d) = 14*d + 2. Let w be o(x). Suppose w - 11 = f. What is the highest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 13203674\nAnswer: -2640734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/((-12)\/(-144))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34540\/7 + 4957. Let a = 344\/21 - u. Find the common denominator of -2\/25 and a.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 1 - 1, -3*o + 4*f - 5 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t + 4. Let j(r) = -986*r + 187. Let w(z) = -4*j(z) + 187*x(z). Let s be w(2). Let q = 267 + -182. What is the greatest common factor of s and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-9)\/(g**(-1\/3))**(-3\/34) assuming g is positive.\nAnswer: g**(-307\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((2 + sqrt(288))*2)**2 - (0 + (-3*sqrt(288))**2))*-2.\nAnswer: -1536*sqrt(2) + 11392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/11)\/(c*c**16*c)*c**(-3\/11)*c*(c**(-4)*c)\/c assuming c is positive.\nAnswer: c**(-235\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 12*l + 27. Calculate q(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60068*h**3 - 60076*h**3 - 60072*h**3 - 60084*h**3 + 240268*h**3.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 390 = j. Is 48 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 230 - -166?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8925 rounded to the nearest one hundred?\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3425\/685*(492\/36)\/(10\/(-6))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 770925417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 255 - 243. Calculate the remainder when 120 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (76\/2*(-46)\/(-115))\/(2\/(-5))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289212?\nAnswer: 2, 3, 7, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52322.\nAnswer: 2, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96220699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-15)\/(-2) - 3). Let q = -7 + n. Let c be (-3)\/q + (-14)\/(-4). Solve -2*l + l = c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1565.01? (a) 9 (b) 2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.88 + -0.12. Let b = -15.87 - y. Let w = b + 0.87. What is the biggest value in w, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 3*c**8\/112 - c**4\/4 - 2*c**2. What is the second derivative of j(r) wrt r?\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 0 (c) 0.5 (d) 8 (e) 1\/3 (f) 105\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226969*m - 995956*m - 1022373*m.\nAnswer: -1791360*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16073 divided by 7232?\nAnswer: -16073\/7232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0324611 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-437)\/(-57)*(-3)\/(-6). Which is greater: 4 or n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -30*v**2 - v**3 + 17*v - 27*v + 12*v + 26*v - 98. Let r be w(-31). Let g(k) = 5*k + 4. Let t(h) = -6*h - 5. Determine r*g(y) - 4*t(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268839281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*(7776\/990)\/18?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 - (2 - 448\/24). Solve -17 - 2 = -5*n - b, -4*n + y = -b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 + -127. Let h = -0.1 - -0.17. Let v = h - 0.17. What is the second smallest value in v, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 1249 = -11*k + 3*y, -3*k + 4*y + 3752 = 0. Let m = k + -402. List the prime factors of m.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 + -119. Calculate the smallest common multiple of 38 and u.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -23*h. Suppose 58 = 7*i - 166. Let n(o) = 34*o**2 + 29*o**2 + i*o**2 - 84*o**2. Calculate n(s(q)).\nAnswer: 5819*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -478, -964, -1460, -1966, -2482, -3008, -3544?\n\"Answer: -5*g**2 - 471*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -321\/1826 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -984*g*i*x + 133*g*i + 8*g*x + g - 61*i*x - 30*i + 16*x + 163 with respect to x.\nAnswer: -984*g*i + 8*g - 61*i + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - 1 - 60\/(-3). Solve n - 1 = 0, -m + 3*n - s = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/(-7))\/((-2)\/547817) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1017 + -0.3983. What is the biggest value in b, -16, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 4*f - 5. Let u(g) = 4*g - 44. Let w(h) = h - 11. Let y(p) = -2*u(p) + 9*w(p). Let k be y(7). What is v(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.013 + -0.013. Let c = i - 33.4. What is the second biggest value in c, 1, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32660 and 1035?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2566 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*z + 12, -p + 61*z = 66*z - 12. Let x = -6 + 6. Suppose -2*t + x = -4. Solve p*n + t*n - 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2221.4 + 2221. Which is greater: p or -35?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 172?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -57 + 11 + 0*d + 22 - 2*d + 14. Calculate y(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/360 + 31*z**4\/18 + 40*z**3\/3 - 21*z**2 - 28. Factor g(o).\nAnswer: -(o - 12)*(o + 2)*(o + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 700671 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1732.21 grams?\nAnswer: 1.73221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 + (-39)\/((-8736)\/22960)?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434092387?\nAnswer: 7, 13, 2063, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-25) - 0) + 7536\/(-10). Is (-1 - x\/(-4))\/((-20)\/40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4158600 to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368778, -368772, -368762, -368748, -368730?\nAnswer: -368708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/4, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362499 is divided by 5034.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -908 and 186?\nAnswer: -168888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1584)*1 - -6*(1 + sqrt(1584))) + sqrt(1584) + -4 + -3 + sqrt(1584) + -4)**2*4 + -1.\nAnswer: -4800*sqrt(11) + 633699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 2. Let n(d) = d**3 - 3. Suppose 3*g - 5*g + 5*v = -1, -5*v + 5 = 0. What is g*t(w) - 2*n(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 130\/123 (b) 148 (c) 3\/8 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q. Let r(h) = h**2 + h. Let a(f) = -f - 1. Let d be a(1). Let x be r(d). Let i(g) = 4*g - g - x*g. Determine w(i(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/9 - 4\/9. Which is the closest to 4? (a) o (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 793 + 525. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 5*g - 8 = 0. Suppose g*u - 10 = -2. Let i(j) = -5*j**2 + u*j**2 + 0*j**2 - j**2. Let d(b) = -9*b. Determine d(i(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -31 + 269. Let n = 11609 + -11576. What is the remainder when r is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267551.\nAnswer: 11, 13, 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1848, -2648, -3434, -4206, -4964, -5708?\n\"Answer: 7*p**2 - 821*p - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u - 131 + 131 + (3 + 5 - 6)*(-1 + u + 1) + u + 6*u - 4*u to l + i*u and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71502 and 4?\nAnswer: 143004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n**3 + 2*n**2 - n + 1. Let i(r) = -41*r**3 + 44*r**2 - 311*r - 4. Let u(s) = 3*i(s) + 12*k(s). What is f in u(f) = 0?\nAnswer: 0, 7, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 233*w - 84911. Give b(364).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*n + 40*n + 11*n**2 + 45*n - 510 - 121*n with respect to n.\nAnswer: 22*n + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 + (-25)\/(-10). Let j(u) = -5*u**2 - u + 3. Let t(v) be the second derivative of v**4\/3 + v**3\/6 - v**2 + 37*v - 3. Determine d*j(w) + 4*t(w).\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.08 and -1.1.\nAnswer: -2.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-5)*1*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363350 is divided by 113612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55044341.\nAnswer: 11, 5004031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*d**2 - 7562719835380 + 7562719835380 - 493*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*n = -275*n - 209. Solve -6*p - 41 = -n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*c + c - 3*c - 2*c**2 to the form r*c**2 + n + s*c and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 10*f + 4 = 7*f, u = -4*f + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 112. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*y = -23 + 30, 2*g + y = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41970872?\nAnswer: 2, 811, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25874 and 11934.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)*f*f**2*f)\/(f\/(((f**11*f)\/f)\/f)*f**8\/f))**(-6\/11) assuming f is positive.\nAnswer: f**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -11. What is the biggest value in g, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let j = -0.03 - -10.03. Let h = 10 - j. Is z at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27361375.\nAnswer: 5, 23, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u**2 - 4*u - 408. Let l(r) = -8*r**2 - 2*r - 203. Let n(h) = 3*k(h) - 7*l(h). Find the first derivative of n(y) wrt y.\nAnswer: 52*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3076.99 centimeters?\nAnswer: 0.0307699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/12)\/((7\/(-10))\/(-7)). Let w(c) = 10*c + 1 + 1 + c**2 + 0. Let h be w(d). Solve -h*g - 2*x = 3*g + 26, -5*g = 5*x + 35 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6200.048 rounded to the nearest 10?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:34 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-525)\/(-6)))\/(20\/35)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/o)**(1\/20)\/(o**(2\/5)\/(o**(-1\/4)\/o))*(o**(-1))**(-9)\/(o**(-1\/2))**1 assuming o is positive.\nAnswer: o**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.38 (b) -0.4 (c) 275.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 12. Let b(v) = 7*v**3 + v. Let l be b(1). Calculate the highest common divisor of c and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-2*6)\/((sqrt(77)*-1)\/sqrt(7)) - (1 + -3*(-1 + sqrt(13))*-6).\nAnswer: -6*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:18 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1)\/s*s*s*s\/(s**(1\/12)\/s*s)*s)\/(s*((s\/s**3)\/s)\/s*s**5) assuming s is positive.\nAnswer: s**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6 - (-16 - 0 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 6*b + 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 17*q**2 + 31*q + 18. Let j be b(-15). Suppose -3*s**2 - 2*s**2 - 5 - 27 + 16*s + j*s**2 = 0. What is s?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/392 and -50\/11.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/16 and 91\/1310?\nAnswer: 10480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - 2*o**4 + o**4 + 3*o**4 - 4*o**4 - o**4 + (1 + o**4 - 1)*(-1 - 39 + 9) + (-3*o**2 - 4*o**2 + 2*o**2)*(3*o**2 - o**2 - 3*o**2).\nAnswer: -26*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2415, 2405, 2389, 2367, 2339, 2305, 2265?\n\"Answer: -3*f**2 - f + 2419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2. Let d(r) = -1314*r - 84. Let z(k) = -263*k - 16. Let f(l) = -4*d(l) + 21*z(l). What is f(s(y))?\nAnswer: 267*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*w = 33, -5*c + c + 2*w = 26. Let o be ((-10)\/c)\/(2\/78). Suppose 2*d - o = 25. What is the highest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.31 - 0.65. Let o = 2246 - 2246.34. Let c = o - i. Are -2 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 33*s**2 - 3*s + 6. Let t(p) = 33*p**2 - 2*p + 4. Let n(l) = -2*o(l) + 3*t(l). Let z(c) = 10*c. Give n(z(x)).\nAnswer: 3300*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -285205?\nAnswer: -285205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2479 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1248, -3855, -8958, -14061, -19164?\n\"Answer: -5103*a + 6351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d - 7. Let i = 5 - d. Which is bigger: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnbkkgknqkkbbqkqbckb. What is prob of picking 3 b?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**4\/8 + z**3\/6 + z**2. Let g = 7 - 6. What is the units digit of c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42976725 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/2 + 1246*x**4 + 72629*x**3 + 45218*x**2 - 3109809*x\/2 - 3211740 = 0.\nAnswer: -56, -3, 5, 2549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = 265. Let v = x - 23. Calculate the smallest common multiple of v and 2\/((-4)\/9)*-6.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 - (-96)\/15. Let k(f) = -3*f - 1. Let a(t) = -t - 177 + 85 + 92. Let q(h) = 2*a(h) - k(h). Calculate q(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19158 times 0.064?\nAnswer: -1226.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = -2*f. Let c be -1 - (-1 - (5 + -2)). Solve -f*i = -c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/29 + -488\/1247. Suppose 0 = -n + 5*z - 21, -4*n = 2*z - 3*z - 11. Suppose n*a - 6 = 8*a - 2*p, -2*p + 6 = 4*a. Do l and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332346?\nAnswer: 2, 666173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4.3. Let o = 0.8 + f. Let x be (-36)\/198*22\/(-14). Which is the biggest value? (a) x (b) o (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + u**2 + 12*u - 1. Let h(l) = -l**3 - 2*l**2 - 11*l + 2. Let y(s) = 5*g(s) + 6*h(s). Suppose 0 = d + 5 + 1. List the prime factors of y(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 370687928 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 4. Let i = -20 - -23. Suppose -i*h = -6*h - 21. What is q(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 - 1 - -69 - 27 - (-21 - 0)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 242028*g\/5 - 1935264.\nAnswer: -3*(g + 40)*(g + 80636)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7787062 to the nearest integer?\nAnswer: 2791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {o: 4, b: 2, m: 1, y: 8, a: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**6\/6 - 9*w**2\/2 - 4*w. Find the first derivative of m(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.26 - -23.26. What is the closest to o in -2\/21, -0.1, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + j + 19. Let n(s) = s**2 + s + 10. Give 3*b(f) - 5*n(f).\nAnswer: -2*f**2 - 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1012)\/322*98\/(-693).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:14 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-169)\/(-13))\/(-13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03885636492 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 11*m**2 - 39*m + 48. Let p be d(-14). Solve 0 = j + p*j - 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**3 + 32*a**2 + 17*a - 133. Let t(p) = p**3 - 5*p**2 - 4*p + 3. Calculate the remainder when y(6) is divided by t(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 92 + 151. Calculate the greatest common divisor of 72 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 + 2 + -8 + (-17 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/(-4))\/35)\/((806\/26)\/(-4340)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 3*c + 120. Solve a + 17 = -5*x, -c*x + 6*a = 3*a + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 14) to base 5.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154890097.\nAnswer: 16333, 70709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.25 and -3105?\nAnswer: 3104.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983 = -42*v - 101 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2347486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18162000 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/21 - (-76)\/(-420)*-3. Factor 4\/5 - r*m - 2\/5*m**2.\nAnswer: -2*(m - 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(64)*1))**2 + (sqrt(363) + 1)**2 + (1*sqrt(33))\/sqrt(11).\nAnswer: 23*sqrt(3) + 5827\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 8*y**2 + 9*y + 8. Let f be d(-7). Let g be f + 0\/(3 + -2). Let c = 15 + g. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -125*w + 12502. Let o be u(100). Suppose -9*i**o - 27\/2*i - 27\/4 - 5\/2*i**3 - 1\/4*i**4 = 0. What is i?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*(-4 + sqrt(2736)) + (sqrt(2736) - (1 + sqrt(2736) + 1 + sqrt(2736) + sqrt(2736))) + 2)*-2)**2 + 3.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 6*p + 9. Is 15 a factor of y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79040 minus 1?\nAnswer: 79039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 36 + 0 = 0. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -4) + (-3 - -4). Solve -8 = 5*f + k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 957 - 959. What is the nearest to -1\/4 in -0.3, w, -3\/49, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 9*o + 8. Let u be w(-8). Suppose -4*v - v + 30 = u. Let k(p) = 3*p + 2. What is the remainder when k(5) is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-4)\/(8\/(-31))))\/(822\/411).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/7*1722\/369?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022200 + -121?\nAnswer: -10100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 961537.1.\nAnswer: 2884611.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19050, -19049, -19050, -19053, -19058, -19065, -19074?\n\"Answer: -b**2 + 4*b - 19053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -98, -223, -384, -581, -814, -1083?\n\"Answer: -18*p**2 - 35*p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 44, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.58 + 60.98. Let y = k - 53.549. Is -0.1 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1096575 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.1277\nAnswer: -0.02554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfqvvqafa. Give prob of picking 2 q and 1 a.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 12229.8.\nAnswer: -24459.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.014 - -3.286. Let j = 740429 + -740432.300068. Let u = d + j. What is u rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*u**2 - 43*u + 5662 wrt u?\nAnswer: -20*u - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1422092, 1422082, 1422070, 1422056, 1422040?\nAnswer: 1422022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 4*i + 88 = 0, g - 5*i + 54 - 62 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10500 is divided by 62?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*w + c, 0 = -5*c + 146 - 151 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -6. Let w(s) = s**2 + 7*s - 6 - 1 + 2*s**2 - 4*s**2. Let p be w(5). Which is the third smallest value? (a) p (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -44.5. Let i(u) = u**2 + 8*u - 46. Let c be i(-12). What is the smallest value in c, -0.87, m?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/87696 and -61\/15776?\nAnswer: 2981664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 24*x + 70. Give c(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 36*m**2 - 31*m + 81. Determine c(-37).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 126 = -6*o. Find the common denominator of o and 101\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, u: 1, r: 3, i: 1, g: 4, f: 3}. What is prob of picking 1 c, 1 g, and 1 i?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiqe when four letters picked without replacement from ieqqqeeefife?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (184\/(-12) + 0)\/(2\/(-15)). Suppose 4*a = -0*p - 5*p + 235, -2*a + h = 5*p. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -101, -4 in descending order.\nAnswer: 4, 3, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195 (base 14) in base 7?\nAnswer: 22645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 2*f**3 + f**3)*(3*f + 3*f + f + (-1 + 1 + f)*(-2 + 3 + 1) + f - 1 + 1 - 2*f + 3*f + 0*f).\nAnswer: -33*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -8. Let b be 6 - 4 - (-5 + 2). Let l(x) = -b*x + u*x - x. Let t(m) = -2*m. Determine l(t(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 1. Let a be g(-1). Let r = -9 - -8.8. Let j = -0.2 - r. What is the nearest to j in a, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4\/7 + 6*s**3\/7 - 12*s**2 + 136*s\/7 - 48\/7 = 0. Calculate s.\nAnswer: -6, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = n + 11, -r = -3*n - 18. Suppose -5 = r*x + 52. Is x less than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y. Let f(r) = 972*r**2. Give f(t(s)).\nAnswer: 3888*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + c + 4 = 8, 4*x - 4 = -c. Suppose x = -14*m + 105702 + 37364. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/7 + 10*i**3\/7 - 2*i**2\/7 - 10*i\/7 = 0. What is i?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 2, f: 2}. Give prob of sequence oo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -17 - (-8 + (6 - (-17 - -4)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Product of 22 and -0.563.\nAnswer: -12.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)*m*m\/m**(-1\/8))**(1\/3)*(m\/(m*m*m*m**0))\/(m\/(m**2*m))*(m**(-1\/12)*m*m)\/((m**(2\/15)\/m)\/m) assuming m is positive.\nAnswer: m**(59\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 83*s**2 + 225*s + 1569. Determine d(38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/10 and -103\/812.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n - 4*x - 21, -n - 5*x = 15. Suppose -2*m + 42 = 2*l, -n*m - l + 5*l + 114 = 0. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 4*p + 1. Let w(z) = 45*z**2 + 16*z - 111. Let h(v) = w(v) - 4*y(v). What is the first derivative of h(r) wrt r?\nAnswer: 98*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 13*d**2 - 49*d + 15. Let t be y(16). Sort t, 1, -109 in ascending order.\nAnswer: -109, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -0.544639.\nAnswer: 7.624946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 10. Let i(z) = -1. Give 18*i(a) + 2*o(a).\nAnswer: -6*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*g**3 - 51*g**2 - 31*g - 5.\nAnswer: -(g + 5)*(3*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4185 - 4184. Let f(g) = g**2 + 9. Let i(d) = -d**2 + 1. Calculate o*f(l) - 2*i(l).\nAnswer: 3*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/((-156147)\/26864).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -4\/9, 3\/10 in decreasing order.\nAnswer: 0.8, 3\/10, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, i: 1, u: 1, w: 2, a: 1}. Give prob of sequence lw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-10) - -3) + (-56)\/(-10) + -5. Put 9, 0, x, 5 in descending order.\nAnswer: 9, 5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2073742*p**4 + 2*p**2 - 8*p + 7194.\nAnswer: 49769808*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 66 + 18 = 0. Suppose -3*j - 12 = 5*p - 5*j, -4*p - w = -4*j. Let o(c) = -c + 2. Let n(b) = -b + 1. Let q(x) = 5*n(x) - 3*o(x). What is q(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6675972 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*45637.85.\nAnswer: 22818.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 754 * 49919.\nAnswer: 37638926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 158, 144, 88, -34, -246, -572, -1036, -1662?\n\"Answer: -4*p**3 + 3*p**2 + 5*p + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 2\/11, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702150269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j\/(j\/(j**16\/j*j)))*j)\/j**(3\/5))\/(j**(9\/7)*j**12))**(2\/163) assuming j is positive.\nAnswer: j**(-2022\/5705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 515 + 71 = 0. Does 37 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 6*z + 4. Let k(t) = 4*t**2 + 7*t + 5. Suppose -2*g = -2*p, -g - 5 = -4*p + 4*g. Determine p*k(h) + 6*y(h).\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.132 (b) -0.5 (c) 0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20*(0 + (-126)\/(-15)). Let j(b) = -2*b**3 - 21*b**2 + 20. Let s be j(-11). Let m = z - s. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 56 = -4*i, -323*i - 320*i - 4*j + 5*j - 42 = -640*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 170 + 6. Let r = 104 - 203. Let v = 114 + r. What is the remainder when q is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 - 4265\nAnswer: -4266.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) 4\/5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2566813 is divided by 37200.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 3 (c) 3\/5 (d) 16\/9 (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1724026, -3448070, -5172118, -6896170, -8620226, -10344286, -12068350?\nAnswer: -13792418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 - -505. List the prime factors of n.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2011, 2010, 2009?\nAnswer: 2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + 6 + -4 + 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112.9999778 - -113. Round y to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12756448.\nAnswer: 2, 19, 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1494 = 6*i + 114. What is the remainder when i is divided by (-71)\/(-2) + 23\/46?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmc when three letters picked without replacement from zlzczwcmczjz.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -9760?\nAnswer: -9759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (4 + 4))*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -860.\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*u + l + 4*l, 20 = 4*l. Let c(y) = -y**2 + 3*y - 2. Let h(t) = 3*t**2 - 7*t + 5. Let o(z) = u*c(z) + 2*h(z). Factor o(w).\nAnswer: w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and (-57640)\/(-2420) - 4\/(-22)?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/12 - 24\/(-24). Which is the smallest value? (a) -3536 (b) 4 (c) o (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -261859 and 0.4.\nAnswer: -261858.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(1008\/(-2286)) - -19. Determine o, given that -6\/7 + 6\/7*o**3 - f*o + 6\/7*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526517428.\nAnswer: 2, 131629357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 p when four letters picked without replacement from pjpjjpj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 4. Let t be g(2). Suppose t*d - 7 = 33. Solve 3*w - 5*j + 7 - 22 = 0, -d*w + 3*j = -9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = -18*i + 19*i, 2*i = -u - 9. Let l be -2*(1 + 2\/4). Let d be -2 + u + 1 + 7 + l. Solve -d*q = -4*g + 3*q - 31, 5*g + 8 = -4*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -4*c + 8*f - 3*f, -c + f + 48 = 0. Suppose -9*a + 3*a + c = 0. Calculate the remainder when 27 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 8) + 5 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from okmo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**2\/2 - 2*g - 2. Let l be b(-3). What is the third smallest value in -5, -5\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*i + 28246, 11*a - 6*a = 4*i - 28222. Is i a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 + -90. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 16*w + 10*w - 2*w**2 - 28*w + (-w - w + 3*w)*(-5*w + 2*w + 4*w) + 0*w + 0*w + 2*w**2 + 2*w**2 + w**2 - 5*w**2.\nAnswer: -w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2264 (b) -32 (c) -2\/65 (d) 1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a microgram in nanograms?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 4)\/(-4)*0. Let m be 10\/(-14)*4\/10. Is m greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 3084.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 - 362*b**2\/3 - 338*b + 126 = 0.\nAnswer: -3, 1\/3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.03 + -5.03. Which is the smallest value? (a) k (b) 22 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 385 = d, 4*d + 726 = 3*t - 422. Differentiate -t + 85 + 164 + 202*u with respect to u.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13*d**2 + 191*d - 466. Give b(6).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -11012167?\nAnswer: 7\/11012167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 128*a**2 - a. Let u be (2*(-2)\/4)\/(-1). Let f be v(u). Suppose f + 48 = 5*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5544*a**3 + 5544*a**3 - 1833*a**5 + 68*a**5 - 373*a - 2 - 216*a wrt a.\nAnswer: -35300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 9 + 8 - 6 - 4189*t.\nAnswer: -4189*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r + 260. Let y be o(37). Is y <= -1\/350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 159 + 135 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 314?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**3 + 2*d**2 + 2*d. Let t(x) be the second derivative of 0 - 1\/2*x**3 + 0*x**2 + 55*x - 1\/4*x**4 + 1\/5*x**5. Calculate -3*g(l) - 2*t(l).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14*y**2 + 56*y - 56. Let s(o) = -o + 1. Give 3*d(c) + 168*s(c).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 185, 306, 437, 578?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - c - 4. Calculate t(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 - 42*z**2 + 4003*z - 47167. Calculate q(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 705485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15055818 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -34 and -77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 44*d - 37*d + 92*d.\nAnswer: 11*d - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1425372514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 404976269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p - 20. Is f(8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*c = -37, 2*c - 4 = 3*b - 87. Suppose 14*z - 15*z = -b. What is the remainder when 47 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - f + 2*f)*(2 + 13 - 2)*(-2*f - 4*f - 3*f).\nAnswer: 234*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/4 + 6614680*w - 8750798300480.\nAnswer: -5*(w - 2645872)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 15. Let b be y(4). Let p = b + -25. What is the units digit of p\/15*(-130)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 583555457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/8 + 2235*t\/8 - 2229\/4.\nAnswer: -3*(t - 743)*(t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/438 and -61\/438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 16. Which is the smallest value? (a) -4 (b) -16 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138\/1725*(-3)\/(-3)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from lgxgblgvvg?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(3\/(36\/14))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.41 + -14.8. Let m = p - -3.79. Which is the nearest to 1\/4? (a) m (b) 1\/12 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217.1 + -217. Sort c, -1.8, 4 in descending order.\nAnswer: 4, c, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 40 - 148. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2733143 and -13\/48806125?\nAnswer: 341642875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v - 2. Let f(n) = -24*n. Calculate l(f(r)).\nAnswer: -264*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-8) - 196\/(-56). Let m(d) = d**3 - d**2 - d. Let a(x) = -4*x**3 + 6*x**2 + 4*x. Let r = 33 - 55. Let y = -16 - r. What is n*a(l) + y*m(l)?\nAnswer: 2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.7 + 1.6. Let a = -0.078 - -22.078. Let l = a + s. Sort -5\/2, l, 0, 2\/15 in ascending order.\nAnswer: -5\/2, l, 0, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/12 and 59\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 397\/(533568\/3456)*(-98)\/(-3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 7:59 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m - 216. Let r be t(-20). Solve -r*l + 39 - 31 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Solve -2*t + 4 = 4*p, 4*p - 2 - x = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-2)\/(-2))\/(1\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 41*l**2 - 587*l - 588. Let y(d) = -236*d**2 + 3521*d + 3527. Let a(o) = 23*r(o) + 4*y(o). Find j, given that a(j) = 0.\nAnswer: -1, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 - (0 - 3). Let z be 1 - n - (4 - 7). Solve -2*b + 2*a = -2, 0 = -5*b + 3*a + 1 - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by -13\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 152 = 3*q. Let p = q - -106. Calculate the greatest common divisor of p and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-12)\/10))\/((-112)\/(671328\/185))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25316576*t**5 - 38964043*t.\nAnswer: 506331520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*f - 623*f - 1 + 1.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**(1\/10))**37*g**(-1\/2)*g**(2\/7))**(-3\/25) assuming g is positive.\nAnswer: g**(-12021\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 184388 (base 13) to base 7\nAnswer: 5115026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**4 - 4*v + 5*v**4 + 1 + 2*v**4 in the form z*v + p*v**2 + l + c*v**4 + q*v**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32057, -64114, -96171?\nAnswer: -128228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 2:39 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 6*k**2 - 7*k - 4. Let x be u(-7). Let n = 6.7 + -7. Put x, n, 2 in increasing order.\nAnswer: x, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2 + b + b**2 + 6*b**2 - 6*b**2. Let u be g(-3). Let o be -4*44\/(-6)*3. What is the highest common factor of u and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 16. Suppose 5*a - 35 = -5*g, -5*g - m*a + 29 = -a. Let r = 31 + g. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -b3e6c?\nAnswer: b3e73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5 + 5 = -8*y + 25, -5*a = 3*y - 0*y + 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 4*h + 5. Let l be s(-5). Suppose l = -2*d + 5*d - 687. Let a = 382 - d. What is the greatest common divisor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/10 - 3\/(-2). Put -3, q, 0.1 in descending order.\nAnswer: q, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose -n - 2*g + g + 7 = 0, n = 4*g - 18. Let f(v) = 3*v**n + 2*v - 3 + 2*v**2 - 3*v**2. Let x(p) = 2*p**2 + p - 2. Give k*f(s) - 3*x(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 8. Let y be q(-7). Let g = y - 5. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 21. Let k be m(-6). Let p(y) = 11*y**2 - 4*y - 1. List the prime factors of p(k).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -267\/419 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17288301 to the nearest integer?\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551 is divided by 148?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 1 + 1)*(-14192*v - 13023*v - 9772*v + 7697*v).\nAnswer: -29290*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 12*p**2 + 13*p + 2. Let d(z) = -12*z - 1. Let s be 2\/11 + 18\/22. Let v be d(s). What is the smallest common multiple of 2 and r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 9:13 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(4212))\/((-5*sqrt(16) - sqrt(4))*4).\nAnswer: 27*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/252*-7 - (-44)\/(-126)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 161.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1054844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, -30, -0.2 in increasing order.\nAnswer: -30, -3, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/(-15) - 173\/(-90) and ((-863)\/8630)\/((-10)\/(-69)).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32023 (base 7) in base 16?\nAnswer: -1ee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - -15) + -170 + 110 + -12\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*q + 27*q**2 - 17569 + 17569 - 2*q**4)*(-1 + 2 - 2) in the form a*q + t*q**3 + n + x*q**4 + c*q**2 and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13826 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 2*i + 38. Determine z(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d + 40*d = -616 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 728 - 725. Suppose -v*t - 3 = 4*l - 0, 5*t + 2*l = -19. Sort 64, t, 0.\nAnswer: t, 0, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:44 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - 35\/(-14). Differentiate 15*t**3 - 6*t**3 + 4 - 6*t**r with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/33)\/((66 - (-15626)\/(-234))\/((-7)\/2)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26049998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 4*w - 139. What is the remainder when 115 is divided by y(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5343 and 205647.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.63459 - -0.09991. What is q rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 419 - 404. Suppose n + 4 + 9 = 4*d, -5*n = 5*d - 10. What is the smallest common multiple of d and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 + 280. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*3)\/(-2)*25\/150?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (11 + 4 + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t**(4\/7)*t*(t\/t**(-4\/7))\/t*t*t**(-4))\/(t**(1\/3)*t*t**11)**(-27) assuming t is positive.\nAnswer: t**335","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**3\/6 + 19*f**2. Let k(m) = -m - 7. Calculate 2*k(s) + 14*y(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, e: 7}. Give prob of sequence ea.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-7) - 2430\/210. Let k be (-8)\/(-44) - x\/(121\/42). Solve -k*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let n(o) be the third derivative of -o**5\/12 - o**2. Let u be 3\/(-6) + 1\/(-2). Let l be n(u). Determine c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5 - 165*m**4 + 165*m**3 + 17185*m**2 + 78240*m + 61380 = 0. What is m?\nAnswer: -31, -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -771 in -0.1, 2, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*l - 15. Let n be ((-3)\/2)\/l*28. Suppose 5*w = 2*f + 23, -2*f = 2*w + 6 - 18. Solve n + f = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, h: 7}. What is prob of sequence hhmh?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/((-2)\/(-68)). Let c be -2 + 0 - 67\/(-1). Suppose -56 = -y + 3*r + a, y - c = -r. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (7 - 6) + -11 + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(7))**2)*-6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - sqrt(19)*-2)*-6 + 5*sqrt(171)*-4 - (-4*((sqrt(304) - (sqrt(304) + sqrt(304) + 2*sqrt(304))**2*1) + sqrt(304)) + 3).\nAnswer: -19459 - 46*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*c - 5*c - 107 = 0, -5*q - c + 310 = 0. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20, -67, -190, -331, -472, -595, -682, -715?\n\"Answer: 3*h**3 - 36*h**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/3 - (0 - 0). Let n(s) = 2 + v + 3*s**2 - 2 - s + s**3 + 2*s. What is n(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 42 = -3*b, -78*k + 56 = 4*b - 83*k. What is the remainder when 2055 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 155 = -179 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-3)\/((-6)\/92). Let s = -7 - -10. Suppose 4*y = -s*j + r, -3*j + 0 - 4 = -y. What is the lowest common multiple of y and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.101 - 39.091. Which is the fourth biggest value? (a) 0.6 (b) v (c) -8 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 352, 590, 828, 1066, 1304?\n\"Answer: 238*g + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1589\nAnswer: -5\/1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6113 + 6124. Let r be 4\/6 + (-30)\/(-9). Which is the second smallest value? (a) 0.4 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 4*t**2 + t - 1. Suppose 4*n + 0 = 12. Suppose -8 = -n*v + 4. Let o be q(v). Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/9827 and -33\/3100.\nAnswer: 982700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5027 - 21314. Let u be (-1 + q\/(-774))\/(-11) + 2. Let g = -1\/258 - u. Which is the fourth biggest value? (a) 2\/15 (b) 2\/11 (c) -0.5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1116.1 - -1115.8. What is the second smallest value in 1.6, 3, z, -5, 2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 0.3 (c) -0.3 (d) 0 (e) -3\/5 (f) 479624\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 take away -1.9?\nAnswer: 664.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -5*w + 160. Suppose 6*z - w*z + 2 = 0, 4*z = 3*t - 244. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 24.86. Let d = j + -0.86. What is the closest to d in 0.4, -8\/3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.33 (b) -0.3 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 plus 2.4?\nAnswer: 2.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -19*n**2 + 7*n + 3215. Let f(v) = 11*v**2 - 4*v - 1607. Determine 7*f(a) + 4*q(a).\nAnswer: a**2 + 1611","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19 - (-7)\/(35\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**9\/60480 - q**8\/3360 - q**7\/1260 + q**6\/240 + q**5\/20 + q**2. Let y(n) be the third derivative of w(n). Determine y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/12)\/(6\/90)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d = 58*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*16*(-32)\/1024?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3066154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/28, 1\/4, -2\/3, 0.07 in decreasing order.\nAnswer: 1\/4, 0.07, -15\/28, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.05 (c) 16.886 (d) 6\/65 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 24 = -2*y, 0 = j + 37*y - 36*y. Solve 0 = -7*k - j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 13 = 5*p, 2*p = 4*v + v - 1. Solve -3 - p = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*s + 21 = 0, 92*u + 22 = 94*u - 5*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 266 - 1339\/5. What is the nearest to -2\/3 in 3\/8, 0.4, d?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159 + 174. Suppose 6*y - 2*a - 122 = 3*y, 123 = 3*y - 3*a. What is the remainder when y is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**4)**(16\/3)*b**(2\/29)*b*b*b**0 assuming b is positive.\nAnswer: b**(988\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/20 + 12*j**2. Let y(z) be the third derivative of -z**5\/20 - 7*z**2. What is y(q(t))?\nAnswer: -27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -8. Let f be 4 + s + (-1 - -3). Suppose -b - 2 = -f. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - o**2 + 10. Let l be q(0). Let m(x) = x + l - 17*x + 19*x. Suppose 0*j + 2*j + d + 17 = 0, -5*j + 3*d - 26 = 0. What is m(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/35957 and -33\/164.\nAnswer: 143828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 + -2 - -6) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 255818905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 0.4 (c) -1 (d) -2 (e) 5 (f) 10462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81815 + 0.4.\nAnswer: 81815.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*m - 159 = 0, -q + 93*m - 90*m = -67. Solve -q*l = -59*l - 6 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356110.\nAnswer: 2, 5, 149, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(28\/1260*54*5\/207)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 41101660?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnwn when four letters picked without replacement from {q: 2, y: 4, p: 1, n: 2, w: 1}?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 268299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 106 = 6*b - 0*w, 55 = -5*b - 5*w. Let l be 1\/(-1) + 3*7. List the prime factors of b\/((-6)\/l*1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 - 89 = 2*n, -2*k = 4*n + 180. Let g = 61 + n. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -765577*m**3 + 36*m**2 - 4274 wrt m?\nAnswer: -4593462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1106145 and 30.\nAnswer: 2212290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 204 + 54 = 3*d, -2*n + 10 = 0. What is the least common multiple of d and 65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 19.276, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.26902153 and 0.4.\nAnswer: 0.66902153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = h - 26, -986 + 976 = -s + 5*h for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 7:41 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*r + 4*o + 11 = 0, -4*r + 19 = -5*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*u - 207, t + 5*u - 5 + 38 = 0. Let o = t - -210. Calculate the remainder when o is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.1. Let c(h) be the second derivative of h**3\/6 + 11*h**2\/2 - 3*h. Let j be c(-9). What is the third smallest value in 3, r, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -23?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.90377 + -0.33037. What is k rounded to two dps?\nAnswer: 5.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3999061686.99 and 21.7.\nAnswer: 3999061708.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350683 is divided by 4928?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.59367 years in millennia?\nAnswer: 0.04759367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2846 + -14281\/5. Let x = 95\/7 + -3295\/217. Find the common denominator of m and x.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = 4*h - 78, -3*h - 3*s = -69. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfd when three letters picked without replacement from fdppfddppppddppddf?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 47. Let q be -33*5\/(t\/2). Is -5 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290780 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 33404.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 27. Let n be m\/3*(-12 + 3). Solve -2*p + n = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-3)\/(2 + 5\/20). What is the nearest to 2\/3 in 5, 0.8, 1\/7, b?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 7. Suppose 2*w - 10 = 2*l, -4*l = -2*w - 5*l + 10. Let b(h) = 5*h**2 - 2*h - 1. What is the remainder when p(w) is divided by b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-196)*40\/(-6)*2\/10.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 90?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-40))\/((-129)\/1376)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16046 - -16045. What is the closest to y in 1, 27, 17\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260015.65 - 15569.\nAnswer: 1244446.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 834*k**4 + 967 wrt k.\nAnswer: 3336*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2653 - 2661. Let n(u) = 2*u**2 + 19*u + 33. What is n(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -36 + (8 - 0) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h - 12. Suppose 3*b - i - h = -5*i, -i = -2*b - 1. Let n be ((b\/3)\/(-1))\/3. Solve n*w = -3*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5389320 divided by 2315?\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7 = -z, 5*z - 4*h - 47 + 12 = 0. What is the highest common factor of 63 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {e: 6, k: 13}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -g. Suppose -22 = 2*h - g. Is 28 a factor of (1\/2)\/(h\/(-1610))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 67. Let v be s(-11). Suppose 38 - v = -2*q. Suppose 5*b = -0 + 10. Solve 3*m - 2*c = 19, -b*m = 3*m - 3*c - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2)**(18\/5)\/(u**(4\/5)*u*u\/u**(-3\/5)))\/((u**1)**(-7)\/((u**(-2\/5)*u)\/((u*u\/u**0)\/u*u))) assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 g when four letters picked without replacement from iigiiiiiidipiddidig.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let u be 4 - z - -1*2. Solve u*w - 4*m - 4 = 0, -5*w + 10 = 2*m - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, m: 2}. Give prob of picking 1 m and 2 f.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 580*l**2 + 7509*l - 402. What is i(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28145519 is divided by 585.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*b = 5, -3*b + 2*b + 11 = 3*g. Let q(d) = d**2 - g*d**2 + 3*d**2. Let y(t) = 2*t**2 + 0*t**2 + 0*t**2 + t**2. Determine y(q(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12074.\nAnswer: 2, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 9 - 29. Let r(h) = 3*h + 1 - 3*h + 3*h - c. Calculate r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -9\/7*i**2 + 72\/7*i - 2\/21*i**3 - 238. Factor h(l).\nAnswer: -2*(l - 3)*(l + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 0.1 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71169, -284875, -641115, -1139889, -1781197, -2565039?\n\"Answer: -71267*g**2 + 95*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let u = -0.89 - -20.89. Let i = u + -23. Is i >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21\/314 - -613619\/942. Let s = -21206\/33 + q. Which is bigger: s or 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56553 (base 8) to base 14.\nAnswer: -8a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**3 - 1171*l**2 + 1171*l**2.\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 40*f**2 + 224*f - 16. Give s(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1596, -4815, -10270, -17967, -27912?\nAnswer: -40111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1431*s**2 - 4*s - 14. Let c(p) = -953*p**2 - 3*p - 10. Calculate -7*c(x) + 5*j(x).\nAnswer: -484*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -520, -10, -12.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/9, 6\/5, 2\/13, 4, -1\/2, -0.3 in decreasing order.\nAnswer: 4, 19\/9, 6\/5, 2\/13, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 537661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -31823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*r - 0. Suppose r*g - 2 = 8. Factor -5*v + 22*v**g - 45*v**3 + 28*v**2 + 27*v**5 + v - 28*v**4.\nAnswer: v*(v - 1)*(v + 1)*(7*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 501001017 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.41 - 11.2. Let o = 2.79 + j. Put o, 4, 0.3 in ascending order.\nAnswer: 0.3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 divided by 2?\nAnswer: -151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -37602a (base 11) to base 16\nAnswer: -90efa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*i - 8, -2*g + 2*i - 18 = -4. Let j be 8\/g*66\/(-4). Suppose -j = -6*l + 4*l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k**4 - k**3 + k**2 - 9*k - 5. Let f(w) = -8*w**4 + 8*w + 4. Let q(j) = -4*d(j) - 5*f(j). Suppose q(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*u - 779 - 261 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 + 6 = 0. Suppose y*d = -w - 7, -2*d + 7*d + 11 = -2*w. Solve 4*l - 28 = -4*x, w*l + 12 = -2*l + 4*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.9 in 0.2, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 256 + -148. Let f = 111 - i. Suppose -4*r - f*h = -725, -3*h - 243 - 142 = -2*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(52))*6)**2.\nAnswer: -144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586240477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1871? (a) 1 (b) -0.5 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*i + 18 = 0, 2*v - 2*i - 1085 + 1059 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + ((sqrt(891) + sqrt(891)*1*4 + sqrt(891))*-6 - ((sqrt(891) - (-4 + sqrt(891)*2 + sqrt(891))) + sqrt(891)*-2 + sqrt(891) + 3)))**2 + -5.\nAnswer: 7128*sqrt(11) + 970438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6432234 or 6432235?\nAnswer: 6432234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 11*s**2 + 13*s + 21. List the prime factors of x(8).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 1, t: 2, b: 7, o: 1, p: 5}. What is prob of picking 1 d, 1 t, and 1 o?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110102222 (base 3) to base 7.\nAnswer: -513662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166.89 - -164.89. Let l = -2 - -3. Let o = -2 - -52\/25. What is the second biggest value in l, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 26*r**2 + 2*r + 52. Let j be h(-26). Solve j*a - 9 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9536 + 542*c - 26333 - 20364 - 268*c - 273*c + (-4 + 3 + 3)*(-3*c + 3*c + 2*c) in the form i + m*c and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, -11, -65, -139, -239, -371, -541?\n\"Answer: -j**3 - j**2 - 30*j + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 divided by 59?\nAnswer: -314\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*f + 45 + 123, f + 256 = -5*q. Let d = q + 52. Suppose -12*j - 2*j + 70 = d. Solve t - j = -2*r, -4*r - 3*t + 11 = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*w**4 + 3\/2*w**3 - 1 + 1\/2*w**2 - 3\/2*w = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5913166 micrometers to centimeters.\nAnswer: 0.00005913166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6512558 is divided by 1317?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.317511 from 12.7.\nAnswer: 13.017511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -273.75 + 273. Let f = p - -0.95. Let w = -0.05 - 0.35. What is the closest to 1\/3 in w, f, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109168303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*r = 0, -4 = v + 3*v + 2*r. Let q = v + 11. Suppose n - 4*t - q = 0, n + t - 39 = -t. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -289100000 to the nearest 1000000.\nAnswer: -289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**4 + 28*k**3 + 2*k**2 + 23. Let j(r) = -4*r**4 - 14*r**3 - r**2 - 12. Let h(n) = 5*j(n) + 2*s(n). Find the third derivative of h(y) wrt y.\nAnswer: -48*y - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 5. Let t(s) = 6*s - 15. Let l(q) = -8*j(q) - 3*t(q). Let o = -45 - -55. Let w(n) = -1. Determine o*w(a) + 2*l(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18212 divided by 157?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (874\/190)\/((-4)\/(-20)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -540\/7. Let j be ((-48)\/(-15) - 3)*-2. What is the closest to -2\/3 in x, j, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 66. What is the closest to -1 in 66, o, -4\/9, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77\/5 of a century?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66924879 by -2.\nAnswer: -66924879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14786706?\nAnswer: 2, 3, 11, 224041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + 3*3*sqrt(187)))\/(sqrt(132)\/(sqrt(72)\/sqrt(6)))*-1*-5.\nAnswer: -45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*n + 0*n + 846 = -4*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 869.\nAnswer: 23\/869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2021 + -1748. What is the remainder when x is divided by 112?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019163 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 46*f**2 + 556*f + 219. Calculate b(56).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1512 and 890568?\nAnswer: 890568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 0*u - 2*n = 2, -4*u - 4*n = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/3 - -4 - 1. Let a be 1 - l - (-2 - -1). List the prime factors of (10\/(-6))\/(a\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 566, 1110, 1654, 2198, 2742?\n\"Answer: 544*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*w + 816 + 892 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 - 46*b + 61. Determine c(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -220755 and 0.3.\nAnswer: -66226.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145 + 146 - 6*y**3 - 2*y + 151 - 444 to the form a*y**2 + q*y + g*y**3 + z and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2444*j**4 + 5270*j**2?\nAnswer: -58656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*s = -78*s + 158 + 370 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**4 - y**2 - 1. Let x be -2*(-1)\/(-2)*1. Let k(a) = 3*a**4 - 2*a**3 - 3*a**2 + 2*a - 1. Let s(p) = x*w(p) + k(p). Suppose s(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -15*o + 5. Suppose 27*r - 18*r - 13*r = -156. Calculate the remainder when w(-10) is divided by r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4533240?\nAnswer: 2, 3, 5, 37, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 65, -3\/7, 5, -25?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1857970 = -12*h - 20*h + 3701998. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9609652 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*r**2*w + 39*f*r*w + 3*f*w**2 - 520*f - 11462*r**2*w**2 - 2*r*w - 2*w wrt w?\nAnswer: 6*f - 22924*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-44)*20216\/(-798).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/8)\/o**(-1\/13))\/(o**(1\/2))**(-37) assuming o is positive.\nAnswer: o**(1893\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76357183 or -76357184?\nAnswer: -76357183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3, -0.0779, 0.5, -2\/7, 7.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/62379702 and 209\/210.\nAnswer: 311898510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 9*v + 4. Let h be n(-10). Let b = h + 9. Determine m, given that -2\/5*m**5 + 0*m**4 + 0 + 4\/5*m**b - 2\/5*m + 0*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 60\/9) + 2. Which is the third smallest value? (a) d (b) 2\/9 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11410, -46553, -105430, -188041, -294386, -424465, -578278?\n\"Answer: -11867*z**2 + 458*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/3)\/(8\/2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/36*4*((-308)\/33 + 9). Determine v, given that -32\/9*v**3 - 4\/3*v**4 - 8\/3*v**2 + 0*v + s = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 717 + -875. Which is smaller: w or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 7*n**2 + 9*n - 10. Calculate x(-5).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(3))\/((sqrt(162) - sqrt(162)*1) + sqrt(2)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - a + 4*p - 93, 2 = p. Let f = 32 - a. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14968 and 540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {i: 3, q: 3, k: 1, x: 2, l: 3, m: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 6776422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) - (sqrt(17) + -1 + -1*sqrt(17)))**2.\nAnswer: 2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/189 and 173\/252.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 - ((-6)\/15 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1)*13*-10. Suppose 0 = 2*r - 10 + b. Let c = r - -119. What are the prime factors of c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8374 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a6cb (base 15) in base 12?\nAnswer: 42643b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 11.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 1)*2 + 1 + ((sqrt(242)*-1 + sqrt(242) - sqrt(242))**2 - sqrt(242)).\nAnswer: 11*sqrt(2) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u. Let w be ((-4)\/6)\/((-2)\/(-3)). Let h = 2 + w. Sort u, 3, h in descending order.\nAnswer: 3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -36a9?\nAnswer: 36a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - 14*x**3 - 2*x**3 + (3*x**2 + 2*x**2 - 4*x**2)*(2*x + x - 2*x) + (3*x - x**2 - 3*x)*(-121 + 34*x + 121).\nAnswer: -53*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 34 - 45 + 23 = -5*d, -136 = -5*c + 13*d for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 469\/6 - 78. What is the biggest value in u, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + -4 + (sqrt(1100) - (4 + sqrt(1100) + 0 + sqrt(1100))) + 5 + 3)**2.\nAnswer: 40*sqrt(11) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173 - 69*q + 173)*(-31 - 8*q - 12 + 29)*(-1 + 0 + 0).\nAnswer: -552*q**2 - 966*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1882966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-6*n - n + 3*n) + 2*n + 0*n - 4*n + (0 - 2 + 0)*(-2 + 2 - 2*n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311802?\nAnswer: 2, 655901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-1)\/((-4)\/(-2)). Let x be (-2)\/(-4)*(i + 1). Let l be (x + 0)\/3 - -3. Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 2. Let p be (2\/(-9))\/(2\/(-3)). Let q = 0.2 - 0.4. What is the nearest to p in q, 3, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:21 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -126 - -121?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000095206 rounded to 6 dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-350) + 174\/650?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192710873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = 3*z, -2*z + z = 2*o - 5. Suppose 9*y - 32 = 37 - 114. Sort -0.6, z, y in increasing order.\nAnswer: y, -0.6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 3\/2*-1. Which is the nearest to -8? (a) 1\/9 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-7)*y))\/(y\/y**(2\/5))*y**(-11)\/y**11 assuming y is positive.\nAnswer: y**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*n - 17, 3*g + n = 2*g - 4. Does 5 divide (1 - g) + -1 + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**2 + 2118*c - 2116*c + 5 + 2 + 2*c**3 as j + d*c**3 + b*c**2 + a*c and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -1. Let t = -335 + 369. Calculate the greatest common divisor of t and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 62. Let t be r(-32). Solve y + 4 = g - y, -t*g + y = -2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 2*r + 5. Let y be g(0). Suppose y*s - 301 = -31. Suppose -3 + 11 = 4*f, -3*q + 48 = -3*f. Calculate the greatest common divisor of s and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 62*w + 59*w + 83*w.\nAnswer: 80*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8\/23*30\/((-2880)\/24)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4941985, 4941986, 4941987?\n\"Answer: f + 4941984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t + 126 = 5*c, -3*c - t + 70 = 0. Let g = 106 + c. Calculate the highest common factor of 48 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002367 minus 8432?\nAnswer: -8431.997633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.6410866 and -1.\nAnswer: -2.6410866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/312 and 25\/12?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207641.73 months in decades?\nAnswer: 1730.34775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.2. Let q = k + -0.3. What is the smallest value in -2\/19, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -32933 and -0.18.\nAnswer: -32933.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*h = 8, 4*h - 7 = -5*y + 9. Let l be (y\/((-16)\/(-12)))\/((-6)\/(-4)). Solve -l*f = 3*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/309 and 24\/11.\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 13*h**2 - 14. Suppose 44*d = 361 + 211. What is w(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909684 minus -23.8?\nAnswer: -909660.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-7 - -4 - (0 + -6)) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - s**3 - 3*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121628.6 millilitres to litres.\nAnswer: 121.6286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -s - 0*s. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 19*y**5\/60 - y**3\/6 + 746*y**2. Let f(n) = 23*n**2. Calculate f(i(r)).\nAnswer: 8303*r**4 - 874*r**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 874 and 7334?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -175?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695603 - 6*f**2 - 695568 + 5*f**2.\nAnswer: -f**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -258 or -513\/2?\nAnswer: -513\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448200 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1364 * 607.98\nAnswer: 82.928472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 + 2*c - 2. Let q be z(-2). Let x be 210\/(-20)*1*-2. What is the highest common divisor of x and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98985 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/1)\/(2 + -4). Suppose -x = 1 + 2, -5*q + x = -203. Let c = q - 39. Sort h, -1, c.\nAnswer: -1, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -4164*w + 4166*w + 4*t, 5*w - 31 = 4*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let o(q) = 32 - 224*q - 16 - 16. Let h(v) = 5*o(v) - 960*y(v). Let a(d) = -d. Calculate a(h(l)).\nAnswer: 160*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46.1 - 40. What is t rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*l - 77*l + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r**4 - 1626*r**3 - 414*r**2 + 620*r = 0. Calculate r.\nAnswer: -31, -10\/13, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2 + 50\/125 + (-566)\/90.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1764825, 3529655, 5294485, 7059315, 8824145?\n\"Answer: 1764830*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -826*v**4\/3 + 4960*v**3\/9 + 198232*v**2\/9 - 320*v\/9 = 0?\nAnswer: -8, 0, 2\/1239, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + -2.4. Put s, 5, -0.4 in decreasing order.\nAnswer: 5, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*h + 20 = 187*h. What is the third derivative of -5*g**3 + 4*g**3 + 115*g**4 + g**h + g**2 + 45 wrt g?\nAnswer: 2784*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0 = 15. Let k be (-1)\/(-1) - (-4 - z). Let m(x) = -5*x**2 + x**2 + 3*x**k. Let j(g) = -19*g. Determine m(j(u)).\nAnswer: -361*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000218338 to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 68 - 328 = 0. Suppose 0 = -4*f - 1 + z. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2022011?\nAnswer: 2021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 bigger than -79221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2310 and 1955478?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -92*m**3 - 3*m - 3. Is n(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 719954, 719920, 719828, 719648, 719350?\nAnswer: 718904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31692014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 55. Solve -g = -4*g + h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1042, 23, 3, -188, -1\/7, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 17*q + 2. Let x be n(-17). Solve -4 = s - x*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, j: 5, r: 2, u: 5}. What is prob of sequence qj?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 2:26 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3601.4037 - 3601.521602806. Let b = -0.1179 - f. Round b to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/m)**37*(m\/(m*m\/m**(-3)*m)*m)**(5\/4) assuming m is positive.\nAnswer: m**291","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 46*i + 3. Let d(o) = 4*o**2 - 17*o + 29. Let z be d(3). Let x = -2 - -3. What is the least common multiple of x and g(z)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 146, 178, 234, 320, 442, 606, 818?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (48\/(-14))\/((-8)\/28). Let b = 0 - -3. Let v = b + o. Calculate the remainder when 59 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126 + 10*s + 0*s + 90 + 8 to the form f*s + l and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -42\/5 (b) -19 (c) -1\/6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23886168947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 10 + 24*f + 4*f**2 - 1\/6*f**3. Let j(n) be the first derivative of g(n). Calculate j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 2*s - 2*s + 13*s**2 - 11*s**2 - 6*s**2 + (-1 - 2 + 1)*(2*s**2 - 2 + 2) - 4 + 2*s**2 - s**2 + 8.\nAnswer: -5*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493224571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*i - 3*x = 685*i + 9, 6 = 4*i - 2*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 659325.92 + -5353.5?\nAnswer: 653972.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25698948 divided by -1331.\nAnswer: 19308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) - (-656)\/48. Find the third derivative of -39*y**4 + 166 - k*y**2 - 166 wrt y.\nAnswer: -936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 9*q - 8. Let v(h) = h - 2. Let n be v(-5). Let x be g(n). What is the common denominator of 43\/2 and 100\/8 - 2\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 66\nAnswer: 10.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 2, -6, -16, -28, -42?\n\"Answer: -p**2 - 3*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 0.14, -2, -5.6?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 4, i: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**2 - 46*z**2 + 23*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**3*u)\/u)\/u*u*u**0*(u\/u**(-2))\/u*u*u**(-2\/21) assuming u is positive.\nAnswer: u**(145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/(-15)) + 3. Let m = -5 + b. Suppose -m*k + 8 = -16. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:01 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d + 3. Let h be a(3). Let i be (h\/20)\/((-2)\/12). Suppose i*o - 39 = -3. Let p(k) = 3*k + 1. Calculate p(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -16, -24, -36?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4251 + 4252. Which is the closest to 1? (a) -2\/9 (b) f (c) -8 (d) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8677 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + (363 - 348).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44aa4 - bc?\nAnswer: 449d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o**2 + o)*(3*o**3 + 7*o**3 - 5*o**3).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*i + 4*i. Suppose 0 = i*x + 4 - 14. What are the prime factors of 2\/(x\/15 + 0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.59512 months in decades?\nAnswer: 0.846626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 14*b + 2*b + (1 - 4 + 4)*(-2*b + b - b))*(-1 + 1 - 2).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1052 = 42*r + 2270 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(-1)\/r)*r)\/r)**(-40))**19)**(-25\/2) assuming r is positive.\nAnswer: r**28500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 220*j**2 + 1995*j + 135 = 0. Calculate j.\nAnswer: -9, -3\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 7*r**2 - 2*r - 4. Let t(f) = f**3 + 3*f**2 + 3*f + 2. Let z be t(-3). Let v be g(z). Let b be (-34)\/v - (-6)\/2. Is b > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-52)\/(-24))*2\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13493915?\nAnswer: 5, 179, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1\/9, -0.2, -0.03072, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -625*a**4\/2 - 854827000*a**3 + 512896275*a**2 - 102579260*a + 13677235\/2 = 0. What is a?\nAnswer: -2735447, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.8 - 4.7. Let q = o - 14. Let v = 0.5 + q. Which is the biggest value? (a) v (b) 0.2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-4)*(-22)\/8. Let c = 2216 - 2190. What is the smallest common multiple of a + -1 + -3 + 3 and c?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + d + 9 + 3, -4*d + 9 = p. Let l(q) = q**2 + 5*q. Let u be l(-4). Let b = -9 - u. Sort 2, b, p in increasing order.\nAnswer: b, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.77008 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -2. Let i = 15 + -10. Is i < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530441, 2121886, 4774295, 8487668?\nAnswer: 13262005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(13) + sqrt(13))**2*-5*-3.\nAnswer: -90*sqrt(13) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021197604006 rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/30 and 43\/5007.\nAnswer: 50070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215 - 214. What is the first derivative of 12 - 9 - 195*b**4 - 19*b**4 + 9*b**4 + g wrt b?\nAnswer: -820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 8 - 4 + (1 - 4 - 1)*(4 + 2 + 3))*(-74*y**2 - 6*y**3 + 74*y**2) to k*y + s*y**3 + n*y**2 + r and give s.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3575936 rounded to two dps?\nAnswer: 22.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 445 divide 44508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(20)\/sqrt(1000) - ((sqrt(150)*1 - sqrt(150))\/sqrt(3))**2).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323 greater than 36562\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019837009 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*q**2 + 430*q**2 - 876*q**2.\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -281, -417, -553?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 79*b - 79*b + b**4 + b**2. Let u(j) = 14*j**4 + 5*j**2 - 5. Let z(k) = -u(k) + 5*v(k). Differentiate z(l) wrt l.\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/102)\/((-4)\/12).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.31224 centuries to millennia.\nAnswer: 4.331224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 2*n**2 + 3*n - 2. Let y(s) = -s**3 - 4*s**2 - 5*s + 4. Give 5*u(v) + 3*y(v).\nAnswer: 2*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 966597 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/16 - (-4)\/18*3. Suppose -16*d + 13*d - 3 = 0. What is the second biggest value in c, 1, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) 4\/9 (c) 0.3 (d) -96285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 4\/2 + 4. Let z = 3 - m. Solve -t + 2*s - 3 = z, -s + 4*s = 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200121 + 11101?\nAnswer: 211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c + 132*c + 797842 = 3992054. List the prime factors of c.\nAnswer: 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from gqqsgssqsgsqssgqs.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 2*y**7\/105 + y**3 + 4*y**2. What is the derivative of k(z) wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*g + 245*g + 450 = 461*g + 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose 9 = -2*s + 3*a, -5*s - 2*a = -s - 22. Sort s, o, -9, 0 in descending order.\nAnswer: s, o, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 577876655 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 17 = 19. Let s = -47 - -10. Let k = s - -46. Calculate the highest common divisor of k and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -22.969. Let u = -50.969 + p. Let z = u - -55. Which is the second biggest value? (a) -5 (b) 0.2 (c) -2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.43.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, -3, -5 in decreasing order.\nAnswer: 2, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 divided by -1?\nAnswer: -1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 6145257 and 6145259 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76625877121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 1. Let c(s) = 3*s + 4. Let m(u) = -c(u) - 6*f(u). Let h be m(1). Suppose 4*l = -8, 3*i - h*l + 0*l = 184. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50160 divided by -30?\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p**2 + p**2)*(-4*p + 0*p + 6*p) + (p**3 - 3*p**2 + 3*p**2)*(36 + 95 - 36) + (0*p**2 + 5*p**2 - 4*p**2)*(p + 0*p - 2*p).\nAnswer: 96*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*42\/630*75?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -v + 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -83?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1.8, -91.\nAnswer: -91, -1.8, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21416.9 + -20270. What is x rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17076243, 34152468, 51228655, 68304786, 85380843, 102456808, 119532663, 136608390?\nAnswer: 153683971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 5814.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*v - 40 + 3176*v + 34 + 6 to the form l + j*v and give j.\nAnswer: 3242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2518534520 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*r - 72 = -212*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.67 + 0.03. What is the biggest value in m, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/37, -3, 32, 2, -1, 468\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = -0*l, -2*s = -2*l - 4. Let m(x) = 2*x - 18. Let r be m(s). Let j be 8\/16*r\/9. Which is the second smallest value? (a) j (b) -0.2 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2678104 divided by 26\nAnswer: -103004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 10:23 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-27)*l\/(l*l\/l**(2\/41))*l assuming l is positive.\nAnswer: l**(-1105\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from lsssssslssss.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -40*f**3 - 11*f**2 + f - 1. Let w(a) = -a**3 + a**2 + a - 1. Let n(q) = -s(q) + w(q). Find the third derivative of n(u) wrt u.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2716925km?\nAnswer: 271692500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 14*t**2 + 39*t - 65. Let k be f(-7). Solve k*v = -3*i - 23, -19*i = -20*i + 5*v + 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 35*s**5\/2 - 335*s**4\/12 + 2*s**2 + 742*s. What is the second derivative of v(q) wrt q?\nAnswer: 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 942\/5 - 5699\/30. What is the common denominator of p and -53\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -719, -3, 2, -8, -5, 5, 3 in ascending order.\nAnswer: -719, -8, -5, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9064*h**2 + 2479 + 9062*h**2 + 4998 to y*h**2 + u + a*h and give u.\nAnswer: 7477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009082898 to five dps.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = -9*f + 225 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*k - 23 - 6, -5*k + 3*t + 25 = 0. Does 30 divide k\/(4\/650) + (14 - 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w**3 - 731*w + 366*w + 365*w.\nAnswer: 35*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1569 = 705*o - 1314*o + 14874 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g**5*t**2 + 35009*g**5 + 2891*g**2*t - 4*g**2 + 9*t**2 - t wrt g.\nAnswer: -780*g**2*t**2 + 2100540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10.4, 0.7, 123 in decreasing order.\nAnswer: 123, 10.4, 1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 33 = 2*q, -4*z + 0*z - 5*q + 44 = 0. Suppose -z + 3 = -4*u. Let b be u\/(-6) - 2\/(-6). Which is smaller: b or 1\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**6\/4 - 21*x**5\/5 - 219*x**4\/8 - 84*x**3 - 108*x**2 + 7384. Factor d(k).\nAnswer: -3*k*(k + 3)**2*(k + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 699 and 325967.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2100)\/375)\/(175\/750)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*m**2 - 927*m - 231.\nAnswer: -3*(m + 77)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tteeetkeetk. What is prob of sequence tk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zriauricriiia. Give prob of sequence ur.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.14 (c) 2518 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10140 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)\/s)\/s*s*s\/s**(-4\/19) assuming s is positive.\nAnswer: s**(43\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153) - sqrt(153)*3) - sqrt(153)*1*-4)\/((sqrt(144) - (3*sqrt(144) + sqrt(144) - sqrt(144)) - sqrt(144)) + sqrt(45)\/(sqrt(5)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 9*j + 34 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -568 or -137007?\nAnswer: -568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 952649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 779305699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 7. Calculate the lowest common multiple of w(-7) and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3 - 3. Solve k = 3*v - v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20729*k**2 - 32136*k wrt k?\nAnswer: 41458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k - 7. Let c(p) = 19*p + 15. Calculate -6*c(j) - 13*m(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (188\/12)\/((-14)\/3) and 5\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*p**4 - 16*p**3 - 32*p**2 + 1127125 wrt p.\nAnswer: 32*p**3 - 48*p**2 - 64*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 8*j + 5. Let x(l) = -l**2 - 7*l - 5. Let v(u) = -2*g(u) - 3*x(u). Let f be v(-4). Is 10012*(6\/24)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let c be (0\/2)\/(0 - 1). Let z(b) be the third derivative of -1\/24*b**4 + 0*b**3 + 2*b**2 + c + 0*b. What is w(z(r))?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -43426*d + 607876. Calculate f(14).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1379748 centimeters in millimeters?\nAnswer: 1.379748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(90\/(-21))\/(33\/77)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 0 + 9 - 7*o + 4.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012707053 rounded to 6 dps?\nAnswer: 0.001271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -20. What is the greatest common divisor of 224 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) -82 (c) 0.015 (d) 7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2. Let m(g) = -7*g**2 + 6*g - 6. Let p(h) = 20*h**2 - 17*h + 17. Let v(z) = -17*m(z) - 6*p(z). Calculate v(u(r)).\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 9. Suppose -j = -4*q + 19, -2*c = q - 55. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -4 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492296316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.4 - -11.4. What is the biggest value in 3, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10707?\nAnswer: 3, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 7*q**2 - 6*q + 6. Let h be f(8). Let r = 30 - -6. What is the units digit of (11\/h)\/(1\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54+6.7\nAnswer: -47.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/6 + -1\/3. Let s = -0.054 - -0.554. Which is the closest to q? (a) -1 (b) s (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 + 61*t - 1592. What are the prime factors of x(34)?\nAnswer: 2, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69, 90, 85, 42, -51, -206, -435, -750?\n\"Answer: -2*w**3 - w**2 + 38*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) 9\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2 + 8*l - 4. Let d be a(7). Suppose -d*b = -5*b + 8. Let s = 26 - 32. Put 0.2, s, -4, b in descending order.\nAnswer: b, 0.2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*j - 102, -87 = -3*j - 96*c + 95*c. Solve 15*l - 36 = j*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*t = -s - 14, 0 = -s + 2*t - 9. Let p be (5 + s - -3) + -4. Find n such that 4\/5*n**2 + 14\/5*n**p - 44\/5*n**4 + 0 + 0*n = 0.\nAnswer: -2\/11, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 10*h**2 + 129*h - 150. What is g(13)?\nAnswer: -1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, n: 3}. What is prob of picking 1 n and 1 z?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 - 23 + 10*a + 18 - 18*a to the form z*a + f and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -2*r**3\/3 - 9*r**2 - r. Suppose -29*f - 2*f - 217 = 0. Let y be m(f). What is the highest common factor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(5 + 8\/(-2)). Let z(f) = -2*f + 10. Let w(k) = 1. Calculate n*w(a) + z(a).\nAnswer: -2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1038 - 4135?\nAnswer: -5173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 85? (a) -0.07 (b) -3\/7 (c) -2\/13 (d) 0.5 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/9, 4, -2\/11, -4, -3.662, -3\/8, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/285 or 0?\nAnswer: -8\/285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -28*z + 24*z. Suppose 3*f - z*f + 136 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000897038385 rounded to 7 decimal places?\nAnswer: 0.000897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/((-27)\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/49 and ((-159)\/252)\/((-2 + 4)\/4)?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*x + 5*q, -10 = 4*x - 2*x - 2*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2445.915 kilograms to milligrams.\nAnswer: 2445915000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(2\/15))\/q)\/q**(-1\/6))**(4\/11)\/((q*q**(-1))**(2\/67))**44 assuming q is positive.\nAnswer: q**(26\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1290606, 2581366, 3872126, 5162886, 6453646?\n\"Answer: 1290760*k - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 5\/4)\/((-70)\/(-52920)). Solve 108*l + y = -27*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -199b?\nAnswer: 19a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -88*s - 4. Let c(b) = 330*b - 329. Let p be c(1). Calculate t(p).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 11:51 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 6:55 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/21 + 634992\/336.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 440 (b) -0.4 (c) -1 (d) 1 (e) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -51*w - 32. Let g(a) = -19*a - 12. Let h(m) = -8*g(m) + 3*o(m). Let t(p) = 23*p - 44. Determine h(t(v)).\nAnswer: -23*v + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.3 - -17. Let b = -461\/6 - -77. Put b, o, 0.3 in descending order.\nAnswer: 0.3, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - m. Let a(k) = 12*k**2 + 8*k - 1. Calculate a(j) + 5*n(j).\nAnswer: 7*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 334923 - 82126. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*y + 376129 - 376249 = 0, -8*y = -t - 60 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*n - 4690 = -398*n + 10910. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30898, 30925, 30938, 30931, 30898, 30833, 30730?\nAnswer: 30583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 15*y + 42. Let v be j(2). Let s be (12\/(-8))\/(3\/(-16)). Suppose s*c - 316 = v*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:57 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11546.6 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4815 is divided by 166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -489 (b) 5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220408336.\nAnswer: 2, 601, 22921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 - -120. Suppose 4*m = 24 - l. Solve -m*r = -r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + t**2 - 9*t - 6 - 1. What are the prime factors of p(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -609.97 and 0.1?\nAnswer: 610.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*x = 51, 3*x - 30 = -21. Calculate the remainder when 1128 is divided by v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 183\/2. Let v = 11\/6 + l. Let s(t) = t**3 - 14*t**2 + 14*t - 11. Let r be s(13). What is the nearest to 0.2 in v, -3, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvvvvvvvvvvn. What is prob of sequence vnv?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 9*p + p + 134906*p**2.\nAnswer: 134906*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.2, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 13. Let x = s - 11. Calculate the remainder when (-1 + 2)\/(x\/(-170)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13142*y**3 - 13982*y - 1 wrt y?\nAnswer: 78852*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 37*n**2 + 101*n + 90. What is o(40)?\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.3 + -49. Let f = n - -3. Sort f, -2, 2 in decreasing order.\nAnswer: 2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -242403\/39184 - 3\/2449. Let o = 5\/482 - -24291\/4820. Calculate the common denominator of o and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003662262 to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33750 and 33750?\nAnswer: 33750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 99. Suppose 4*s - 3 = 33. What is the closest to s in b, 5\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let o(m) be the second derivative of 11*m**4\/6 - 30*m. What is h(o(p))?\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 334\/13. Is 1 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14429 - -14429.15. Which is the second smallest value? (a) -1\/6 (b) 0.012 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 6:31 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 - 191*d + 8514\/5.\nAnswer: (d - 946)*(d - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (0 - (-15)\/(-13)). Let y = 0.39 + 1.61. Put j, 5, y in increasing order.\nAnswer: j, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.5. Let p be 2\/1 + -21 + 17. Let l = 5 + -6. What is the nearest to l in q, p, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let f = 2\/75 + -4\/25. What is the closest to i in f, 1\/6, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-36) - (-25)\/(-126). Let h = -59\/126 + t. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 s when three letters picked without replacement from {x: 1, r: 7, s: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 = 3*z + 68. Let v = 255 - z. Suppose -11*p + v = -5*p. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 911306260 to the nearest 100000.\nAnswer: 911300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -726 divided by -285\nAnswer: 242\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 19808319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 4, 2 in increasing order.\nAnswer: -25, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-380)\/45 + 430\/(-774))*((-80)\/(-35) - 2).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*b + 1188 = -115*b for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l**2 + 2*l. Let i(b) be the third derivative of 0 + 0*b + 3\/8*b**4 + 0*b**3 + 4\/5*b**5 - 127*b**2. What is -9*h(t) + 2*i(t)?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**2 + 11*c + 4. Let j(y) = 4*y**2 + 21*y + 3. Let b(m) = m**2 + 1. Let f(n) = -5*b(n) - j(n). Let z(w) = -6*f(w) - 11*p(w). Determine z(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84600 and 2250.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2 + 2744878*q - 1883588808721 = 0?\nAnswer: 1372439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 60133*a**2. Let c(s) = -56*s**2 + 1. What is c(x(p))?\nAnswer: -202494750584*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 1. Let f(k) = -529*k + 2*k**2 + 529*k + 26. Let n(g) = -f(g) + 5*l(g). What is the first derivative of n(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**(-1))**(2\/29)*((c*c\/(c\/(c**(3\/2)*c*c)))\/c**(-1\/3))**20 assuming c is positive.\nAnswer: c**(8407\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 26. Suppose -4*y - 8*v + 4*v - 4 = u, 2*v - 1 = -3*y. Suppose 2*g = 5*k - 0*k + 9, -y*k - 13 = -5*g. Solve -g*d = 2*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, -4, 289, 4.\nAnswer: -4, 4, 133, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3000 + 4681. Suppose 5*t = -o + z, 4*o - 2*t - 1624 = 4990. Suppose 4*g = -2*i + 1210, -o = -4*g + i - 443. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c = 70*c. Suppose c = 3*o, -5*q - 5*o = 83 - 313. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8453.6862 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {i: 2, k: 2, c: 1, t: 8}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v - 3 + 3*v + v + 66*v**3 wrt v.\nAnswer: 396*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/13 - -51\/65. Do 1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/264 and -11\/18936.\nAnswer: 208296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3092 + 6183\/2. What is the smallest value in -2\/5, m, 4\/21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110 + 28 - 705*m**2 - 379 with respect to m.\nAnswer: -1410*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/10*1\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 31\/30*h**6 - 75\/2*h**2 + 0*h**4 + 0*h**3 + 56*h + 0 + 0*h**5. Differentiate o(t) wrt t.\nAnswer: 124*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 2*j + 5*j)*(12*j + 10 - 10) to the form r*j**2 + c*j + t and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, -5, 0.3, 10, 3\/8, -1531, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -33*u**2 + 5*u + 5. Let d(l) = -33*l**2 + 4*l + 4. Let y be 3\/5 + 280\/(-50). Determine y*d(q) + 4*h(q).\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56831.\nAnswer: 17, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 118109918 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from wqwqqqqw?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14\/5, -2\/5, 3\/5, -0.025, 2?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.5, 0.5, -105?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 308932576 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: Calculate ((-3)\/(-25))\/(36\/12).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3288\/(-13974))\/(4\/34). Let k be 2\/(-4) + 2\/20. What is the closest to q in -4, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 3*t + 1. Let u(l) = l - 1. Let k be u(3). Let b be n(k). Suppose -g + b*g - 14 = 0. Calculate the remainder when 13 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -32, -46, -52, -44, -16?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24219 - 24199. Let v(o) be the first derivative of 0*o + 0*o**2 - 23\/5*o**5 + 0*o**4 - c - 4\/3*o**3. Find the third derivative of v(i) wrt i.\nAnswer: -552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13076 + 1?\nAnswer: -13075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68949664 or 68949648?\nAnswer: 68949664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -2 - 27 - -6. Let n be (4 - (1 - -2 - -2))*t. Calculate the greatest common factor of n and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + u = -w + 138, w - 4*u = -35. Is 5 a factor of w\/(-5) - (-9)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164520783, 164520779, 164520775, 164520771, 164520767, 164520763?\nAnswer: 164520759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 70 = -5*x, 0 = 5*n - 5*x + 7 - 57 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 6*f**2 + 10*f - 3. Suppose -33 = -4*g + 5*k, 0 = -5*g + 3*k + 1 + 37. Calculate y(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7959*o + 214897. What is n(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/3 + 292*w**3 - 196174*w**2\/3 + 632180*w - 4687225\/3 = 0. What is w?\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/893 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, g: 10}. Give prob of sequence llg.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4350 and -53\/122950.\nAnswer: 10696650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*v**3*w**3 + 3*v**3*w**2 - 2*v**2*w**2 - 17*v*w**4 - v*w**2 - w wrt w?\nAnswer: -960*v**3 - 408*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*(-9)\/(-75)*400\/720.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*x, 41 = k + k + 5*x. Suppose a + 4*a + 545 = 5*h, -391 = -4*h - 5*a. What is the greatest common factor of h and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-185)\/15 - (-2)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**5 - 129176*z**4 + 18*z**3 + 1421287*z**2 wrt z.\nAnswer: -60*z**2 - 3100224*z + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -29. Suppose x = -3*q - 0*q + 183. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12806576*y**6 + 3*y**2 + 36*y - 1028?\nAnswer: 1536789120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tut. Give prob of sequence tu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 15. Let v(c) = -c - 7. Calculate -6*g(u) - 13*v(u).\nAnswer: -5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 + 3*k - 3. Let g be m(3). Let c = -4 - g. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3250 + 17847. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/5 (c) 12.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19441489 is divided by 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.193998 + -1.4240294. Let x = b + 1.23. What is x rounded to 6 decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/60 - 11*k**2. Let a(q) = 2*q**2 + 2*q**2 - 2*q**2. Determine f(a(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/3916 and 43\/10?\nAnswer: 19580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and 0.18287?\nAnswer: 7.13193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 11. Let g be r(7). What is the derivative of -7 - g - 3*v**4 + 3*v**4 - v**4 wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2. Let u(z) = -z**3 - 18*z**2. Let v be u(-18). Let y(b) be the first derivative of v*b**2 - 1 + 0*b - 2\/3*b**3. What is s(y(a))?\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 45*l**2 - 543*l - 387. Calculate z(55).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/9690 and -131\/2470.\nAnswer: 125970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16819294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.194+1.7\nAnswer: 1.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1949, 1980, 2031, 2102, 2193?\nAnswer: 2304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8 = -2*m. Let t = 1 + m. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15901 - 9342. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8078761399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2540 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*f - 76 - 129, 0 = f + 2*h - 28. Suppose 0 = -39*o + 1 - 1. Solve o = -5*p - f + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 18995*l**2 - 725. Let p(m) = -157*m**2 + 6. Calculate -6*h(c) - 725*p(c).\nAnswer: -145*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1092349, 1092347, 1092345, 1092343, 1092341?\n\"Answer: -2*l + 1092351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5\/5 + 2213*x**4\/5 - 7419*x**3\/5 - 1333*x**2 + 2964*x\/5 = 0.\nAnswer: -741, -1, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1, -0.0036, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbm. What is prob of sequence mbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5146, 5149, 5152, 5155, 5158?\nAnswer: 5161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.01. Let a = 0.04 + k. Round a to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17305, -17305, -17347, -17431, -17557?\nAnswer: -17725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921187?\nAnswer: 73, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7 + 5 = 0. Suppose 0 = 2*q - 10, 0*q = -2*f + 5*q - 17. Solve 0 = 3*d - 2*g + 6 - 1, w = -5*d - f*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxg when three letters picked without replacement from ljlkxxxkkrgrlll?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 32 = 2*j. Let q(s) = -s - 1. Let u be q(-1). Suppose j = -u*g + g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from ybhbbbbabbbb?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9430965 to the power of 1\/2, to the nearest integer?\nAnswer: 3071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -329297 and -329297 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10722 (base 8) in base 10?\nAnswer: -4562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 319595299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 2 - 5*w**3 + 2*w**2 - 5*w**3 - 2*w - 3*w**2 + 3*w**2 - 2*w**3 + (4*w**2 + 0*w**2 - 5*w**2)*(0*w + 2*w - w).\nAnswer: -11*w**3 + 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 6*v**3 - 35*v**2\/2 - 11*v. What are the prime factors of n(4)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w + 2. Suppose 2*f + s = 360 + 431, -3*f = -w*s - 1204. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 9 + 11. Let s(a) = -a**3 - 157*a**2 - 2968*a + 276. Let p be s(-135). Solve -u*n = -8*n - p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -133\/32?\nAnswer: -133\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/15)\/(76\/(-57)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4968 + 10699. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6492\/(-4869)*7\/3*1\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 36 = -g - 0*f, 5*f - 120 = 8*g + 303 for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 + 2056\/(-120) + (-462094)\/(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a7 + 21b5?\nAnswer: 210b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19081 or 267121\/14?\nAnswer: 267121\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223070376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-24282)\/(-285))\/71)\/((-1)\/(-114)*18)\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8135, 8141, 8147, 8153, 8159?\n\"Answer: 6*a + 8129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (321*h**4 + 85*h**4 - 68*h**4 + (-3*h**3 + 6*h**3 - h**3)*(5*h - h - 3*h))*(-25 - 3*h + 25).\nAnswer: -1020*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*h = 9612 + 7600 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 34, -28, -3, -4 in descending order.\nAnswer: 34, 5, -2, -3, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4442 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 2*h - 3. Let n(d) = d + 2. Give -3*m(c) - 4*n(c).\nAnswer: -3*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + s)*((0 - 5 + 3)*(-1 + 0 - 5) + 3 - 3 + 2) + (-1 + 1 + 2)*(2*s - 4 + 4).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 759, 742, 725, 708?\n\"Answer: -17*w + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.4114 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(513))\/sqrt(588)*-3 + 4.\nAnswer: -9*sqrt(19)\/14 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*z = -242*z - 231*z - 2*s - 14, -11*z - 4*s + 24 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 54039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n**2 + 2 - 2)*(4*n**2 - n**2 - 4*n**2) - 3*n**2 - n**4 + 3*n**2)*(29 - 24 - 41)*(4*n - 2*n - 3*n + (-2 + 0 + 4)*(3*n + 0*n - 4*n)).\nAnswer: -216*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21643403 divided by -3\nAnswer: -21643403\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 245\/(-35) - (-1)\/((-9)\/((-12024)\/184))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from rrgkrgkrglkgr?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 13*y + 17. Let x = -277 - -272. Let c be (-1 + (x - -7))\/(-2)*-24. Give i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -13, 2, 41, 110, 215, 362, 557?\n\"Answer: n**3 + 3*n**2 - 19*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/1199?\nAnswer: 5\/1199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 6. Let q be a(8). What is the remainder when ((-6)\/6)\/(q\/76) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711165 is divided by 50797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(36)\/sqrt(3)) + sqrt(11)*-1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 + v**2 - v**3 + 118 - 117 in the form p*v**2 + w*v + h*v**3 + y and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19263*q + 19460*q + 3152 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -1)*(-4)\/(-8). List the prime factors of 18\/(w - -2)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -619 + 406. Let y = -122 - h. Calculate the remainder when y is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 628153306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 1) + (-30)\/10. Let n(q) = -q**2 - 5*q + 9. Let c be n(-5). Suppose -9*z = -14*z + c*z. Solve -w*u + 4 - 14 = z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Suppose j*p + 16 = -2*o, 5*o = -2*p - 4 - 14. Let z be (0\/o - -3) + -4. Which is greater: z or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3132789 divided by 3?\nAnswer: -1044263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78387469?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -788 + 812. Solve 13*z - j*z - 55 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 29 = -i, -1567*i = -3*p - 1562*i - 51 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Which is the third smallest value? (a) 0.1 (b) -3\/8 (c) g (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (6 + -42) - 2419\/123?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/7 - 102*j**2\/7 - 456*j\/7 = 0. What is j?\nAnswer: -4, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 869 and 418?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 379*c**2*x**3 - c*x**3 + 2*c*x + 9 wrt c?\nAnswer: 758*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 162?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + 61*o)*(-6*o - 2*o**3 + 6*o) - o**4 - 4*o**4 + 2*o**4.\nAnswer: -119*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 187 = -22*r + 2*h, -180 = -r + 5*h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20245 + 20244. Let u = 0.07 - 5.07. What is the closest to v in 1\/3, -11, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 15*s**2 - 31*s - 51. Let k be p(17). Solve 0*z**3 + 3\/5*z**2 - 3\/5*z**4 + 0 + k*z = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1140\/40)\/(-19)*(-2)\/(-24)*2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-78)\/(-21) + 2\/7. Suppose 4*j = -11 - 1, -2*a + z*j + 2 = 0. Let v(w) = -w**2 - 4*w + 4. What is v(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 7*k - 9. Let z(q) = 4*q**2 - 20*q - 25. Give -8*d(n) + 3*z(n).\nAnswer: 4*n**2 - 4*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(60)\/sqrt(6)*-3)\/(sqrt(48)\/sqrt(6) + sqrt(8)) + 2 + 1.\nAnswer: -3*sqrt(5)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 475273.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 560 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*h**2 - 7*h**3 + 33*h**2 - 62*h**2 - 13*h**2.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 2*h + 3. Let c be u(-4). Let z(t) = 5*t - 4. What is the remainder when z(c) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1151, -2365, -3593, -4841, -6115, -7421?\nAnswer: -8765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -13. Suppose -20 = -5*w - 5. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - 4*q. Let g be l(4). Calculate the highest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -4. Solve -5*m = 5*n, -a*n - 2*m - 7 = 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**15\/i*i\/(i**(-11)\/i)*i**(-2\/17)\/((i\/(i*(i*(((i\/i**9)\/i)\/i)\/i*i)\/i))\/i) assuming i is positive.\nAnswer: i**(304\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 + 167 + -48 + 71?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1798 and 15738358.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3091.\nAnswer: -1\/3091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 664972974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1000100?\nAnswer: 1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 7*r**2 + 9*r - 10. Let h be w(8). Find the common denominator of 2 - 2*(-97)\/(-32) and (-11)\/((-2112)\/(-652)) + h\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18508224 to the nearest integer?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7622 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.60037539 + 1\nAnswer: 1.60037539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 2:14 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 46 - 4. Suppose -l = 6*f - 4*f + 243, -3*l = -5*f + 740. Let g be ((-4)\/(-5))\/((-2)\/l). What is the highest common divisor of g and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(448) + -1*sqrt(448))**2 + sqrt(448)) + 0)*-6 + 3.\nAnswer: -192*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1680 = -3*h. Let z(n) = 7 - h*n + 123*n - 8*n**2 + 27*n**2 + 115*n. Is z(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7441, 7448, 7459, 7474, 7493?\nAnswer: 7516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -907 divided by -128.\nAnswer: 907\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3867, 2\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896543?\nAnswer: 896543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/3, 303, 4, -5?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -166306 divided by 83153?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4 - 26. Suppose z - 3 = -1. Let c be z\/(-3)*r\/(-1). Solve -4*v + 5*b - 40 = b, 0 = -c*v - 5*b + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93461?\nAnswer: 19, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**6\/j))\/j*j**(2\/3))**(16\/5)\/((j\/(j\/(j*j**(-6)\/j*j)))\/j*j\/(j**0*j)*j*j**(-1)*j*j\/(j\/j**(-2\/5))) assuming j is positive.\nAnswer: j**(-223\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**2 - 7*n - 2. Let s(c) = -7*c**2 - 8*c - 2. Let v(l) = 4*s(l) - 5*w(l). Let q be v(-2). Solve -4 - 16 = q*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 2*d - 242. Suppose 7*b + d = 134. Solve -4*t + b = -3*w - 7, w + 6 = t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(12\/(-1))*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2968, 10, 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppggguggpcgppc. What is prob of sequence ccu?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 75784271 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2 - 2*j**2 + 6 + j**2 + 4. Let x be b(3). What is the first derivative of 2*w**3 - 287 + 306 + 4*w**x wrt w?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 3*g - 14)*(3*g - 3*g - g**3).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/8 + 41*j**3\/6 + 22*j**2. Let f be i(13). Determine z so that 11*z**2 + 19*z**f - 2*z**2 + 8*z**3 - 10*z**2 + 4*z = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268\/15 + 3503\/165. Let k(f) = f**3 - 4*f**2 + 3*f - 2. Let y be k(3). Calculate the common denominator of 13\/14 - y\/(-7) and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -5*z**8\/2184 - 148*z**7\/1365 - 15*z**6\/52 + 7277*z**5\/195 - 1444*z**4\/39 - 6*z**2 - z + 26. Let q(y) = 0. Calculate y.\nAnswer: -19, 0, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31123858 rounded to the nearest one hundred thousand?\nAnswer: -31100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -26 - (2 + -3 + (2 - 4))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29084272?\nAnswer: 2, 7, 259681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xavbdvx. Give prob of picking 1 v and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**2 + 16*i**2 + 9 - 51*i - 16 + 7 in the form s*i + f*i**2 + t and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - s + 53, 29 - 9 = 5*s. Suppose 0 = -y + h - 26. Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 91 = -27*y, -10452*y + 10450*y - 20 = 7*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -1569\/2, -0.79, 6 in ascending order.\nAnswer: -1569\/2, -0.79, 5\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 62 - 6 + 0)*(-3*f + 0*f + f).\nAnswer: 4*f**4 - 112*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/15 + (-7)\/3. Let o be (-7)\/(-2*f\/(-18)). Suppose 18 = 5*c - a, 0 = 5*c - 0*c - 2*a - o. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515\/7 + (-14)\/49 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1048, 2271, 4310, 7165?\nAnswer: 10836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.18 - 17. Let x = i + -5.18. Is -4\/5 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-48) - (-74)\/111.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2055684 and 8\/33.\nAnswer: 22612524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56901752.\nAnswer: 2, 97, 73327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1)\/(15\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1173, -18, 8 in increasing order.\nAnswer: -18, 8, 1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -k + 3*q, 3*k + 2*q - 489 = -151. Suppose -4*d - k = -128. Solve -2*x = -d*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -25, -57, -111, -193, -309, -465, -667?\n\"Answer: -v**3 - 2*v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -985?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -4*p - 276 + 65, -18*p - 67 - 34 = 11*p + k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w + 85. Let d(b) = -2*b - 83. Calculate -6*d(k) - 5*s(k).\nAnswer: -3*k + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13693 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 18. Give m(-17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/6 (b) 299 (c) 40\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d**2 + 4*d + 5. Let s(j) = -11*j**2 + 4*j + 4. Let t(w) = 3*r(w) - 4*s(w). Give t(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84634 is divided by 561.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 20. Let t(m) = -20*m + 2 + k*m - 2. Let j(b) = -b**2. Give j(t(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6\/150*((-700)\/8)\/35).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11322.\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c\/(c*c*c**17)*c**(-1\/12)*c**(5\/3)*c*c**(-17) assuming c is positive.\nAnswer: c**(-365\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -287.6 - -288. Let m = -407 - -413. Which is the fourth smallest value? (a) -3 (b) f (c) m (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 0)*(y**2 - 3*y**5 - y**2) + (-2 + 2 + 3*y**2)*(0*y**2 + 0*y**2 - 7*y**3) + (-2*y**2 + 3*y**2 + 0*y**2)*(2*y**3 + 1 - 1).\nAnswer: -34*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 258313, 258269, 258195, 258091, 257957?\n\"Answer: -15*m**2 + m + 258327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1 - 6*u + u**2 + 5*u - 6*u + 0*u. Suppose 0 = -6*n - 33 + 75. What is p(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (70\/40)\/((-1)\/(-4)). Solve -8*r**4 + 4 + 6*r**4 + 5*r**4 - r**5 - s*r**2 + r**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 37. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 234*m + 233*m = 13, 2*w - 14 = -4*m. Let z = -12 - -69. What is the greatest common divisor of w and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c + 666. Let y = 233 - 233. What is the hundreds digit of i(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 250044 and 291718?\nAnswer: 1750308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -2 - -2)*39. Let b = i + 89. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -40. Solve i*m + 3*d = 21 + 16, -5*m + 21 = -d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2102111102212?\nAnswer: 2102111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(19 + -33 - -15). What is the closest to v in -31, 16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4816?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.017439486 and -0.1?\nAnswer: 0.0017439486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-62 - 1)\/((-1)\/2). Suppose 4*c = -l + 5, 43 + 12 = 3*l + 2*c. Calculate the greatest common factor of p and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 455993 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -70916441 to the nearest 1000000.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 598 and 589 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14388031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 21*g + 5. Let p be c(5). Suppose -2*f + 56 = 2*l - 78, -5*f = -l + p. What is the highest common divisor of 40 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8001537*s - 8001545*s - 127 = 3*n, -5*s - 54 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65\/(-20) - ((-22)\/(-8) + -3). Let g be (2 + -1)*0\/t. Solve -3*z + g*z - 4*r = -20, 8 = 4*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.18 at most as big as 2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 8.58403.\nAnswer: -3.433612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*p**6 - 833*p**5 - 133669*p**2 wrt p.\nAnswer: 7800*p**3 - 49980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28474 is divided by 28333?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m - 4565 = -5*m - 7997 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464720, -464718, -464716, -464714, -464712?\nAnswer: -464710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -154. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - 14. Let y = 45 - 146. Let b = z - y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 424578546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t**3 + 7*t + 3. Let g(y) = -15*y**3 + 15*y + 6. Let o = -34 - -97. Let b = o + -69. Calculate b*g(h) + 13*x(h).\nAnswer: -h**3 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 28. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -12 (c) -3\/8 (d) -0.0759\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krak when four letters picked without replacement from {a: 8, k: 2, r: 3, n: 1, z: 1, y: 1}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101101000110?\nAnswer: -101101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(36\/5))**44 assuming w is positive.\nAnswer: w**(1584\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -488, -1845, -4076, -7181, -11160, -16013, -21740?\n\"Answer: -437*j**2 - 46*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5081758 a multiple of 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4859351 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0791 - -8.4409. Round w to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, -5 in decreasing order.\nAnswer: 7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 12*n**2 + 5*n + 25. Let r be c(-12). Let m = 68 + r. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 + 13802*m - 6896*m - 6906*m.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4 and -8\/12979?\nAnswer: 51916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158110*a**3 + 72928*a wrt a.\nAnswer: 948660*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m = -74*m + 300. What is the remainder when 1139 is divided by m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {a: 3, v: 3, m: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 - 79. Solve a*y - 3*y = -o - 24, -4*y - 8 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 712.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 8. Let y be q(3). What is the hundreds digit of (-9)\/(-3) + (y - -228)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7425 + -4465. What is w rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - 0 - (0 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1660*u - 225 + 1478 = -2887 - 5820 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804006077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -101*z + 1006. Let u be g(10). Let f(w) = -w**2 - 7*w - 6. Determine f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfbbb. What is prob of picking 1 f and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s - 17. Let j(n) = -6*n - 9. Let w(u) = 4*b(u) - 7*j(u). Let y be w(-5). Let v = y + 9. Calculate the remainder when 26 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 0 (c) 1.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41064321307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 36182 to the nearest 100.\nAnswer: 36200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*w + 3 = 2, 3*w = -5*v - 33. Let l be (-74)\/v - (-3)\/(-9). Suppose 3*i - a = 4*a - 1, -4*i + 4*a + l = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1361*a**2 + 30*a + 60. What is the thousands digit of l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -17*r + 2. Let s be t(3). Let f = -46 - s. Solve -3*y - 5*g - 14 = -0*g, -3*g = -f*y + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 22187 (b) -1 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*h = -7*s + 31, -4*h - 12 = -4*s. Factor 5*x + 5*x**4 - x**4 - s*x**3 - 18*x**4 + 9*x**2 - 2 + 7*x**4.\nAnswer: -(x - 1)*(x + 1)**2*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4725, 5710, 7351, 9648, 12601?\n\"Answer: 328*u**2 + u + 4396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18150584383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 0*l**4 - 13\/5*l**5 - 11 - 14*l + 0*l**2 + 0*l**3. What is the first derivative of q(m) wrt m?\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 84, 73, 46, -3, -80, -191?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 m when three letters picked without replacement from {r: 1, x: 4, l: 2, m: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87010)\/(-140))\/113*(-4)\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (60 - 15 - 43)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 88*s**2. Let y(q) = 6*q. What is y(h(w))?\nAnswer: 528*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12854 = -7*u + 9749. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -49*v - 604. What is x(-13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -83*s + 9. Let d(u) = 61*u - 7. Let g(k) = -4*d(k) - 3*o(k). Let b(r) = -4*r - 1. Calculate 6*b(a) + 5*g(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 - 2*u**2 - 44*u - 3. Let i(b) = b**4 - 7*b**3 - 5*b**2 - 88*b - 7. Let t(l) = -3*i(l) + 7*z(l). Find the second derivative of t(f) wrt f.\nAnswer: -36*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 546108 and 259284?\nAnswer: 694103268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 143174859823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 3*c - 64 = 0, 11*c - 10*c - 6*c + 60 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (-7 - -45) - -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, a: 1, l: 2, q: 1, t: 1}. What is prob of picking 1 d and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 5 + 5)*(9*h**2 + h**2 + h**2)*(6*h - 5*h - 4*h) to d + a*h + b*h**4 + l*h**3 + u*h**2 and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 130 (b) -2013\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-7)*q))\/q*q)\/(q**(-9)*q)*(q**(-3)*q)\/q*q**(-2\/7))**(-22) assuming q is positive.\nAnswer: q**(-1804\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:38 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 104*r**2 + 104*r - 86482.\nAnswer: 208*r + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23022002202 (base 4) in base 16?\nAnswer: -2ca0a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**3*z**6 - 21*s**3*z**3 - s**3*z + 65*z**2 wrt z.\nAnswer: -240*s**3*z**3 - 126*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 534?\nAnswer: -38\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 1. Let d be v(-1). Let w be (3\/d)\/((-2)\/10). Suppose -g = w*g - 20. Solve 5*r = -g*t + 30, -4 + 2 = -2*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.7. Let n be (1\/(-2))\/(2\/(-4)). Let s be (n\/(-4))\/(2\/(-4)). Put s, 3, j in descending order.\nAnswer: 3, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 24 = 3*k. Suppose -k*i = -154986 - 127014. Round i to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 6) + (-20)\/(-2). Put -2, o, 0 in ascending order.\nAnswer: -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from {q: 1, u: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -27 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1276 and 67408.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2. Let r(q) = -23*q. Calculate z(r(t)).\nAnswer: -2116*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1770*n - 1771*n + 3*o = 7, -3*n - 103*o = -203 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5870 + -5855. Solve 13*o = q*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14481 = -4*l, 63*l = 59*l - 3*k - 14441. Is -3615 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 75*j - 142 - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -6c3?\nAnswer: 6c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33141, 128536, 287525, 510108, 796285?\nAnswer: 1146056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 14*b + 648. Let v(a) = 3*a**2 + 16*a - 646. Let r(h) = 4*u(h) + 3*v(h). List the prime factors of r(0).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 166633 = -5*a, p - 24*a = -19*a + 55531. What is the ten thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003331122325 to seven decimal places.\nAnswer: -0.0033311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 133, 165, 197, 229, 261?\n\"Answer: 32*g + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21897702 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/5)\/4*(-45)\/(-3))\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*l - 0. Suppose -30*r - 2*r + 9984 = l. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/2261132 and -13\/9044528.\nAnswer: 9044528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 512 - 383. What is the greatest common divisor of 215 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4\/3 + 2315*a**3\/3 + 20*a**2 - 27860*a\/3 + 37040\/3 = 0.\nAnswer: -4, 2, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwukkkkwkwuuk. Give prob of sequence wk.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.054, 112.16, 0.83 in ascending order.\nAnswer: -2\/3, -0.054, 0.83, 112.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 288*j + 4. Let c(l) = 1725*l + 25. Calculate -4*c(v) + 25*q(v).\nAnswer: 300*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -2 - (10 - (2 - -7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-9) + (-28)\/(-6). Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 18 + 0 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1042302403 (base 6) to base 10.\nAnswer: 11314659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 1. Suppose -7 = 5*h + 8. Suppose 61*q - 57*q - 16 = 0. Let o be 4\/8*h*q\/(-6). Let v(t) = 8*t - 3. Give o*v(w) - 6*k(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 126513617 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3 - 1 + 27*l + 3 - 2. Let r(y) = 6 - 7*y + 6 - 13. Let o(t) = -15*r(t) - 4*w(t). Calculate o(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 + 133\/28 + -5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, -1\/6, 0.3691, 5\/27, -1, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/420*5)\/(((-8)\/28)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*w**3 + 94*w**3 + 95*w**3 - 290*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h. Let m(o) = 10*o. What is 3*m(i) - 4*p(i)?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12166634 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.145 - -80.355. Let b = u + -80. What is the nearest to 0.1 in b, 0.2, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 3159468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989 = -3925*q + 3882*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.19 (c) -2 (d) 0.5 (e) -7\/8 (f) -1.183\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1437724826 plus 22.12?\nAnswer: -1437724803.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 3*i**5\/5 + 9*i**2\/2 - 8. Find the second derivative of z(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 5 + 5)*(-3*f**2 + f**2 + 0*f**2)*(-403*f + 183*f - 1 + 105*f).\nAnswer: 460*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 386 + 177 = -5*f, -2*f = -4*k - 78. What is the remainder when 526 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*sqrt(76) + (sqrt(19) - (sqrt(19) - (sqrt(19) + sqrt(19) + 0)))*-3)**2.\nAnswer: -11172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -523\/4 + 131. Which is the closest to -1? (a) -4 (b) -0.4 (c) 0.3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 14*h**2 + 14*h - 6. Let q be y(-13). Let v(w) = -w**2 - 23*w - 50. Let c be v(q). Let j be 90\/c + (60\/(-4))\/5. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a**2 - 268*a - 966*a + a**2 - 1 - 2*a**3 - 37*a**2.\nAnswer: -2*a**3 - 1234*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 43*j + 1)*(-30 - 10 - 26) in the form i + w*j and give w.\nAnswer: 2838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 68, 125, 202, 299?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 17*g - 6 = 0. Let v(r) = -161*r**3 - 5*r. Let x(m) = 162*m**3 + m**2 + 4*m. Let n(o) = g*x(o) - 2*v(o). What is the units digit of n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from bgywi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/((-189)\/(-150))*(-43)\/(-43))\/(-4).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-2) + (7 - (-1290)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314818546?\nAnswer: 2, 7, 17, 1322767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 287000 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s + 4. Let u be p(-8). Suppose 3*n + u = 4*b + 2*n, -3*n = 4*b - 44. Let f = b + -8. Sort 5, -1, f.\nAnswer: -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 - 57*j + 276. What are the prime factors of f(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 51. Determine h(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -30. Suppose 7*y = s*y. Suppose -3*c - 4*g + 4 + 14 = y, 4*g + 22 = c. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-1 - 4 + 4)*(-z**5 + 5*z**5 - 3*z**5) - 1361*z**5 + 443*z + 235*z + 1360*z**5.\nAnswer: -2*z**5 + 678*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*j + 7, -6 - 8 = -5*j - n. Let r be (8\/(-4) - 0) + j. Let p be (-2)\/7 + 1\/(-21). Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511 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: Let r(d) = d**2. Let k be r(2). Let t(v) = v**2 - 6. Let g be t(3). Let q(f) = -4*f**2 + 0 + 4*f - 2*f + f**3 - 3*f + g. Determine q(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 43*c + 234. Let q be n(11). Solve -g = 5*r + 10, q*r + 3*g = 450 - 456 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1601450, 3202921, 4804404, 6405905, 8007430?\nAnswer: 9608985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 10:12 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1624285 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 4. Suppose -7*j + 126 = -5*i - 3*j, -3*i - j - 62 = 0. Let f = i + 19. Let m(o) = 3*o - 3. Give f*k(w) - 4*m(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -367642284 to the nearest 100000.\nAnswer: -367600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*j - 54, 17*j - o + 135 = 21*j. What is the smallest common multiple of j and 45?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -742 - -492. What is u rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-135)\/63)\/(11 + (-1884)\/168). Solve 53 - 123 = v*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j**2 + 82*j**2 + 21*j**2.\nAnswer: 152*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, -137, -457, -977, -1739?\nAnswer: -2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 14*i**2 + i - 8. Let d be j(14). Suppose g + d + 18 = 2*z, -3*z + 5*g + 22 = 0. What is the highest common factor of 35 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103234200 (base 5) in base 14?\nAnswer: -814237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.527772028 rounded to three decimal places?\nAnswer: -10.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 - -93. Let g be ((-3)\/(-48)*12)\/(b\/4). Solve 4*a + 4*c - 16 = 0, c = a + g - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*23186050.\nAnswer: -1159302.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 520447677 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 4*u**2 - 12*u + 7. Give d(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -148, -576, -1290, -2290, -3576?\n\"Answer: -143*m**2 + m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528 divided by -88.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**3 + 10*l**2 - 4*l + 1. Let c(h) = -2*h**3 + 5*h**2 - 2*h. Let z(a) = -9*c(a) + 4*o(a). What is the tens digit of z(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1, -6, -1\/20, -1.6, -4 in decreasing order.\nAnswer: -1\/20, -1\/2, -1, -1.6, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 4*g**2 - 4*g - 8. Let x be s(4). Suppose 0 = 4*q - 70 + 238. Let r = x - q. Calculate the remainder when 30 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(sqrt(3888) + -1 + sqrt(3888) + 1)**2*-1.\nAnswer: 46651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4*p - 47, -2*p - 17 = -2*w - 3*p. Let v = 26 - 16. Let k = 11 + v. Calculate the greatest common factor of w and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k - 5. Let h(i) = i**2 + 8*i - 6. Suppose 5*q - 27 = -2*l, 3*l = q - 0 + 15. Give l*v(r) - 5*h(r).\nAnswer: -5*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -103979.919 rounded to the nearest 10?\nAnswer: -103980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -214*y - 402. Let u(t) = -38*t**2 - 2*t. Determine j(u(f)).\nAnswer: 8132*f**2 + 428*f - 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**8\/48 + y**5\/20 + 4*y**2. What is the third derivative of c(m) wrt m?\nAnswer: 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {f: 3, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/5292 and 89\/29988?\nAnswer: 89964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - -2) + 9 + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -40 - (-94 + -13 + 108).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211693 is divided by 1731?\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-91)\/(-14)*2*2\/2. Suppose 0 = 3*i + 2*f + t, -21 - 22 = 5*i - 2*f. Let v(l) = -l**3 - 6*l**2 + 8*l + 7. Calculate v(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -314*y + 893. Calculate l(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1 + -3)*(-19)\/76. Calculate the greatest common divisor of j and 115.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j + 17. Let l(n) = -n + 6. Let w(i) = -11*l(i) + 4*t(i). Let v(h) = -h. Determine w(v(r)).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(3\/8)*v)\/v*v**(-4)*(v**(-1))**(-30))**(-43) assuming v is positive.\nAnswer: v**(-9159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 - 3*l**4 + 3*l**4 + (6*l - l - 2*l)*(-2*l**3 + l**2 - l**2).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 8*x**2 + 14*x - 12. Calculate u(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.7 - 3.6999939. What is b rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 15\/7, -5?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22\/3 + 7. Which is the nearest to -0.1? (a) d (b) 3\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7)*6*-4).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 14. Suppose c*w - 55 = -5. Calculate the remainder when 74 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, 11\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-59)\/(-236))\/(2\/6504) is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000191674 to seven decimal places.\nAnswer: 0.0000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51007.\nAnswer: 11, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 3310?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -107. Let i = -46 - u. Solve -i*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 552.03 + -18.03. Let l = -535.203147957 - -1.202784957. Let a = l + n. What is a rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 112464.2043s?\nAnswer: 0.18595271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z + 31. Let i be p(-10). Let t = i - -41. Suppose -v + t*v - 5 = -3*n, 25 = 5*v. Sort n, -1, -4 in descending order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.082, -2, 4, 3\/4 in decreasing order.\nAnswer: 4, 3\/4, 0.082, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(0 + 11 + -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 5, e: 4, d: 3}. What is prob of sequence md?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -190 + 212. Let m(q) = q**3 - 22*q**2 - 2*q + 50. Determine m(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56042052 a multiple of 1397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*m - 7*m + 6, -m = -5*g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 - (-6 + -1 + 10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 + 2626*k**2 + 1500 + 119 - 928 + 1160 wrt k?\nAnswer: 5252*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -3\/5 (c) -8.5 (d) 0 (e) -0.1 (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 6. Let n be b(4). Let s(m) = -2*m + 2. Let r(f) = f - 1. Let y(t) = 4*r(t) + 3*s(t). What is the units digit of y(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(0 + 1) + ((-3968)\/(-62) - (42 + -20))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v - 54*v = -402. List the prime factors of v.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/14 (b) 0.022 (c) -2\/7 (d) 2 (e) -6 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5771702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3454, -7571, -14430, -24031?\n\"Answer: -1371*t**2 - 4*t - 2079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -129*o**3 + 4*o**2 + 2*o + 27. What are the prime factors of z(-4)?\nAnswer: 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 7*x**2 + 6*x + 8. Calculate c(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f - 4*f)*(f - 3*f + f + (0*f - f + 2*f)*(-4 - 2 + 5))*(-41151 + 41151 - 377*f) + 2 - 2 + f**3 + f**2.\nAnswer: -2261*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*r. Suppose z + 2*z - 9 = r. Suppose 2*h - 14 = z*a - 70, h = -4*a + 93. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 - 5*w - 1. Let q(m) = -m**2 + 18*m - 15. Let u be q(17). Let c(r) = -r**u + r + 89 - 89. Let g(j) = 3*c(j) + v(j). Determine g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 28*u. Let a(j) = -8*j - 3*j - 9 + 10 - 1. Determine o(a(r)).\nAnswer: -308*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 11*x**2 + 171*x - 146. Give f(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -424*y - 792. Let f be v(-2). Solve 52*i = f*i - 3*c + 4, -4*c = -5*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29004690*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 106, 2451, 4804, 7165?\n\"Answer: 4*p**2 + 2333*p - 2231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 746427 and 0.5.\nAnswer: 373213.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/2)\/1)\/(-13*(-38)\/1482)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21323931, -21323934, -21323937, -21323940, -21323943?\n\"Answer: -3*o - 21323928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*i + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5598*b - 18941 - 76225 = 0 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010100100 - -11010?\nAnswer: -11010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d. Suppose x + 0 - 2 = d. Factor 2\/3*v**x + 0*v + 0 + 2\/3*v**3.\nAnswer: 2*v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 208*w**2 - w - 2. Let g be r(-1). What is the highest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219649, 440381, 661113?\nAnswer: 881845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*h**4 + 54*h**2 - 2.\nAnswer: -3336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.039 bigger than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -909513\/59020 + 3726\/227. Let c = q - 17\/20. Put c, 2, 4 in ascending order.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(sqrt(27) + sqrt(216)\/sqrt(72)) + (sqrt(108)\/(3*(sqrt(4) + sqrt(20)\/sqrt(5))))**2.\nAnswer: 7\/4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -301*z - 13. Let i(r) = -901*r - 36. Calculate -4*i(o) + 11*n(o).\nAnswer: 293*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*b + 6 = 3*b, -b = 5*n - 34. Let w(k) = -3 + 2*k - k**2 - k - 4*k - n*k. Let s be w(-7). Solve s = -4*o + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(210)\/(sqrt(5)*1) - sqrt(42))\/(sqrt(72)\/(sqrt(48)\/sqrt(4) - sqrt(12) - sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1592*d**2 - 13*d - 545. Let n(s) = 4778*s**2 - 44*s - 1634. Let g(a) = -10*f(a) + 3*n(a). What is the second derivative of g(v) wrt v?\nAnswer: -3172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28775005*d + 32160345?\nAnswer: -28775005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1878.062 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.23688 nanograms to tonnes.\nAnswer: 0.00000000000005423688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00141084537 to seven decimal places.\nAnswer: 0.0014108","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 80488 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1287 - 918. Let c = -166 + k. What are the prime factors of c?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2961*h - 106015 - 18953 = -358*h + 2579 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + (-16)\/(-6). Solve 3*r = -2*x - 15, -r + 2*x - c = -5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311315 (base 6) to base 16\nAnswer: 617f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 143 = 17*p, -359828*y + 19 = -359823*y - p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/96 and 119\/600.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*s**5 - m**3*s + 2*m**3 + 112*m**2*s - m - s**5 + 3670*s**2 wrt s.\nAnswer: -20*m**3*s**3 - 20*s**3 + 7340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwodowhwoowhtododdto. What is prob of sequence wh?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 52 = -0*m. Let o = 27 - m. Sort o, -1, 4, 5 in descending order.\nAnswer: o, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135264 (base 7) in base 9?\nAnswer: 237774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7743124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -31520 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + q + 0*q + 10 = 0, -i - 2 = q. Let w be (-4)\/i + 10 + -5. Suppose 5*s + 3*g - 85 = 0, -2*g - 37 = -w*s - g. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 18?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1543 - 7*c**3 + 5712 + 5755 - 1952.\nAnswer: -7*c**3 + 7972","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77929448*v**6 - 95643040*v**2.\nAnswer: 9351533760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2622\/9889 - 34949567\/5102724. Let r = w + 30\/43. Find the common denominator of r and (-44)\/10 + 8\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3060 or -3064?\nAnswer: -3064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 525*s**2 - 4*s - 1. Let c be z(2). Suppose -a = v - c, -v + 0*a + 2093 = 2*a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53914985?\nAnswer: 5, 2609, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94577520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 55*t**3 - 2*t**2 - t + 6. Let c be o(2). Suppose 7*i + c = 7982. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to -13140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 5:47 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f + 891. Calculate t(6).\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 61 = 22*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/12)\/(((-906)\/(-40))\/151).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 7. Let b be s(-6). Let x be 2\/(-7)*(-6 + b). Suppose -x*j = -5*j + 15. Let z(g) = g**3 - 5*g**2 - g - 4. What is z(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-12)*(-21)\/28\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -30761 - 7342. What are the prime factors of r?\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Let c = l + -1. Solve -2*f + 25 = c*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*m = 8538 - 1150, 0 = 5*m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 + o - 7. Let s be t(5). Let v be s\/(-30) - 12\/30. Which is the second smallest value? (a) -5 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + y - 4. Let l = -11 + 8. Let v be b(l). Suppose -v*r + 3 = 1. What is the greatest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -10. Let b(w) = -w**2 + 3*w - 3 - 3*w**3 + 2*w**q - w - 1. Let k be b(-3). Solve -2*i = -0 - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/19)*a**6*a)**(-5))**(-4\/5) assuming a is positive.\nAnswer: a**(604\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(396) + -1*sqrt(396) + -2 + sqrt(396))**2.\nAnswer: -24*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -1\/120*o**5 + 2\/3*o**3 + 0*o + 0 - 5\/24*o**4 - 2*o**2. Let x(s) be the first derivative of g(s). Determine x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6 + -6 + 16 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 1290600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 822, 2\/11, -4, -2, 5, -1 in ascending order.\nAnswer: -4, -2, -1, 2\/11, 5, 822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udcn when four letters picked without replacement from cudcuun.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 11*x - 137. Give p(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**3 + 148*s - 148*s)*(-4*s + 3*s - s) + (0 + 0 - s)*(-4 - s**3 + 4).\nAnswer: -23*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7020 and 115965.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 11*h = -296, -128*h + 219*h + 93 = 3*w + 88*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyynyynnyyyynyyyyy. What is prob of sequence yn?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -15, 0.4, 2193\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 1. Let q(f) = -9*f - 2. Give -3*q(n) - 5*x(n).\nAnswer: 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2675*j - 109*j + 59350 = 192*j for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -1, 2, -4 in ascending order.\nAnswer: -51, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91848 is divided by 334.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213322134001 + 4?\nAnswer: -213322133442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/2 + 2*u. Let t(g) = -7*g - 1. Let x(f) = -5*d(f) + 2*t(f). Suppose y + 9 = 4. What is x(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19056 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 11*x - 6. Determine q(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68737 is divided by 9316.\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 6*f**2 + 3*f - 5. Let o(y) = -y**3 + 4*y**2 - 3*y + 8. Let q be o(4). Is u(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10603 divided by 26\nAnswer: 10603\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 3*v + 0*v = -4*v + 5*o + 12, 4*v - 12 = -5*o for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qii when three letters picked without replacement from {w: 1, i: 6, q: 1, n: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1470 from 6664.9406.\nAnswer: 5194.9406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166308*u**3*z**3 + 2*u**3*z**2 - 20*u**3*z + 11*u**2*z - 11666370*u*z**3 wrt u.\nAnswer: 997848*z**3 + 12*z**2 - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1449 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1704 (b) 215 (c) -0.01 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*b**3 - 36*b**3 + 177*b**3 - 33*b**3 - 37*b**3 - 32*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 23209.\nAnswer: 23130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-196)\/16 + (-1)\/(-4). Let k be 24\/(-9)*(-3)\/r. Let d be 1 + -1*4 - 1. Sort k, d, 1 in decreasing order.\nAnswer: 1, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*a**4*n + a**2*n + 150*a**2 + 12*a*n - 2*a + 2*n - 426 wrt a.\nAnswer: -672*a**2*n + 2*n + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + 1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 26190246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1, -540661.\nAnswer: -540661, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1264, -0.7 in descending order.\nAnswer: -2\/9, -0.7, -1264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -26, -46, -82, -140?\n\"Answer: -u**3 + u**2 - 6*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/11 and -41\/1122523733.\nAnswer: 12347761063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8482763 to the nearest integer?\nAnswer: 2913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*o + 14*o + 3542 = 0, o = 5*f - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 6:25 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/4 - 14*y**3\/3 - 7*y**2 - 10*y - 3. Let u be x(15). Solve 2*h - 9 = u*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5206, -10411, -15616, -20821, -26026?\nAnswer: -31231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*i - 72, 5*i - 23 = -3. Let l = 48 - y. Let b = l + 16. What is the remainder when 59 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 17*l**2 - 17*l + 11. Suppose -24 = -2*x + 4*f, 19 - 91 = -5*x + 4*f. Let d be u(x). Let b(m) = 2*m + 7. Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 89679?\nAnswer: 71743.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - ((9 - 3) + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3590.9976 - 3571. Let r = 0.2586 + 19.7414. Let a = x - r. Round a to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 278 - 159. Calculate the greatest common factor of v and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1854 + -2.\nAnswer: -3.1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2. Let v(p) be the third derivative of -p**4\/24 - p**3\/6 + 6*p**2. Let b(f) = -3*f - 2. Let y(t) = b(t) - 2*v(t). Calculate d(y(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222110100002 + -2000?\nAnswer: 222110021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 9*b - 13. Calculate q(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125 and 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/58 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 6. Determine c(-8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.06 times -3741621\nAnswer: 3966118.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 14*h - 27. Give c(11).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:24 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmkmyykukmomkmy. Give prob of sequence zoym.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 698 - 698.5. Put -16, -4, s in ascending order.\nAnswer: -16, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 923337*s - 923336*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (7 - (2 + -4 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2561 = -872*p + 49649 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(-8295)\/(-1422)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*x - 50*x - 42. Is 924\/(-12)*30\/x a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1688, 14, 13 in ascending order.\nAnswer: -1688, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -3*m**2\/2 - 8*m - 44. Let u(i) = i. What is u(q(t))?\nAnswer: -3*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:15 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1326800, 2653610, 3980426, 5307248, 6634076?\nAnswer: 7960910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82893434*a**4 - 4032352*a**2 + a + 1?\nAnswer: 1989442416*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778*(14\/4 - 114\/38)*1 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1663 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 8}. Give prob of picking 1 y and 1 f.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0*o + 2 + 1\/2*o**3 - 1\/12*o**4 - 12*o**2 - 1\/60*o**5. Determine g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.1, -0.4, 0, -1\/4 in increasing order.\nAnswer: -0.4, -1\/4, 0, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.025.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*d + 112 = -217, 4*r - 4*d = 1380. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1230 + -10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/22 (b) 1 (c) 807195\/13 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -2\/7, 0.3, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/720 and 91\/1440?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 317 - 102. Let k = -162 + u. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199325083 * 0.4.\nAnswer: 79730033.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 365472 and 365472?\nAnswer: 365472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 6*x**2 - 8*x + 25. Let h be y(4). Solve 0 = 22*f - h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 9*x. Let l be p(5). Suppose 4 = -4*n + 3*g, 0 = 3*n + 2*n + 5*g - 30. Solve -y - n = y + k, 5 = -l*y + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 73 + 28. Suppose s = v - 2. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3480 and 2490.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 37*i + 10. Let j be s(-18). Let w be -3 - (8\/j)\/(1\/4). Let t(v) = -v**2 - 4*v + 5. Let k be t(-5). Solve n - 3 - w = k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 0 - 2)*((-6*u**2 + 3 - 3)*(0 + 0 - 2) + 6*u**2 + 3*u**2 - 5*u**2).\nAnswer: 304*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -1\/3*o**3 - 4*o - 5\/2*o**2 - 6. What is the lowest common multiple of n(-3) and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33741251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-26))**(-3)*o**(-1\/4)*o*o*o**(3\/10)*o*o assuming o is positive.\nAnswer: o**(1641\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23774960 and 3520.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 10 - (-8 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -1321\/5 = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pogsmfossoffp. What is prob of picking 1 g, 1 s, 1 p, and 1 m?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 3*w**2 + 11*w + 5. Let f be m(0). Let o(q) be the first derivative of 3\/35*q**f + 9 + 9\/28*q**4 - 6\/7*q**2 + 0*q + 0*q**3. Factor o(h).\nAnswer: 3*h*(h - 1)*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1093413 + 406287. What is t rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:42 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(135)\/sqrt(3) - (sqrt(100)\/sqrt(2) - sqrt(50))\/sqrt(10).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39 + 36 + 11*m - 72 wrt m.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:23 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + h + h**2 + 3 + 0. Suppose 18*i + 8*i = 104. Let g(o) = -o**2 - 1. What is i*g(r) + p(r)?\nAnswer: r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8673442599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 11 = 13. Let x = -35.9 - -36. Which is the closest to -0.6? (a) x (b) v (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:13 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 421 and 924095?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363 and 289510287?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 5 - (-3 - -1 - -3). Let g(s) = -2*s**2 + 8. Let u be g(n). Suppose 0 = 3*j + 12, 3*d = 2*j + 3*j + 35. Solve 0 = d*t - u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0282 + -0.0282. Suppose -5*s + 44 = -3*s. Let b = s + -20. What is the second biggest value in 2\/11, b, g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 2*g, 129 = l - 3*g. Is l a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-1)\/(-14))\/(12\/42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -20 + 17. Solve g*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from owp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**5*z*z**(1\/10)*z*(z\/z**(1\/3))**(-8) assuming z is positive.\nAnswer: z**(83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5858551 divided by 21779\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1487721 - -25291259\/17. Factor -p*g**4 - 74088\/17*g - 168\/17*g**3 - 388962\/17 - 5292\/17*g**2.\nAnswer: -2*(g + 21)**4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 26*z = -72. Which is the nearest to 0? (a) -0.5 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1800 divided by -14.\nAnswer: 900\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/31 in 12, -1, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79\/6, -10, 62.27, -4 in decreasing order.\nAnswer: 62.27, 79\/6, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microsecond in nanoseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 8 - (1 + 2) - -11) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4043697 divided by -5\nAnswer: 4043697\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64 + 14*d + 2*d**3 + 3*d**3 - 34*d + 20*d with respect to d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-104)*-88 + (16\/(-6))\/((-7)\/84)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggrrgr. What is prob of sequence ggr?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/104 and -65\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)\/(7\/((-70)\/20)). Let d be 62\/10 + (-181 - -176). Let v*x**2 - 3\/5*x**5 + 0*x - 3\/5*x**3 + 0 + d*x**4 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 6*p + 22. Give t(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**7\/28 - 7*n**6\/10 + 219*n**5\/40 - 43*n**4\/2 + 44*n**3 - 48*n**2 - 7*n. Determine j so that d(j) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 768516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**6*m)*m**(3\/4)*(m**0\/m)**(-50)*(m*m**(3\/4)*m*m\/(m\/(m*m**(-2\/13)))*m)\/(m\/(m**(-2\/5)\/m)*m*m)**(-18) assuming m is positive.\nAnswer: m**(16711\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/120184 and -1\/99912.\nAnswer: 8292696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2))\/((-1)\/14). Is x\/3*15\/10 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 1309 in decreasing order.\nAnswer: 1309, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = -2. Let k = 82 - 75. Suppose 0 = -3*i - a*i + 5*l + 115, 5*l + k = -i. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*y + 41*y - 2501 - 544. Let p be -1*(8 - 2)*-14. What is n in -y*n**2 - p*n**2 + 100*n - 5*n**4 - 40 + 35*n**3 + 23*n**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/7 - 890*v**4 - 4337016*v**3\/7 + 826449056*v**2\/7 + 7725656576*v\/7 + 1730131488 = 0.\nAnswer: -1634, -7, -2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -7*c + 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3)*(-6)\/4. Let o be ((-3)\/(-9)*0)\/c. Suppose -5*u - 15 = o, -s + 24 = 2*s + 4*u. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 0 (c) -4 (d) -4\/3 (e) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*8*-2. Suppose -z + 20 = c. Let p be (8 - 6)*(-1 - -2). Calculate the greatest common divisor of p and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4 + 0 + 16\/3*c**3 - 20*c - 8*c**2. Find v such that h(v) = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**4 - 216*y**3 + 4*y**2 - 49*y?\nAnswer: -72*y - 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7 - -14)*(3 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 18, -36\/11, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27.1 times -46.9\nAnswer: 1270.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by (-1712)\/(-5) + (-448)\/(-80) + -6?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1852)\/20835)\/(2\/60)*2*(-6)\/(-4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.15 times 15?\nAnswer: 107.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1075652330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 50 = 4*f. Suppose 2*n - 58 = 2*b - 5*b, -5*b = -f. What is the remainder when (-4)\/(2 - (-104)\/(-51)) is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 7*f**2 + 7*f - 2. Let s = -66 + 71. Suppose -3*y + 43 = s*r, -y + 2*r = -2 + 6. Give g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 9*q - 5. Let y be k(9). Let b = 238 + -225. What is the fourth smallest value in 6\/7, 0.5, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2254 by 1.\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 1 + 3*d**3 + d - 6 - d**4 + 1 + 4.\nAnswer: -d*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18945.62652 rounded to the nearest ten?\nAnswer: -18950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17441083.568 rounded to the nearest 10000?\nAnswer: -17440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*a + 16, 5*n + 3*a = 2*n + 21. Let g(v) = 16*v - 7 + 5 + 6. Is 9 a factor of g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 969707380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35, 269, 909, 2159, 4223, 7305?\n\"Answer: 34*s**3 - s**2 - s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-57 + 52)) + (-3 - (1 + -13)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 + 4 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 - -94. Let t(c) = c**2 + 1. Let s be t(2). Suppose 2*p - 22 = -0*v - 4*v, 5*v + 10 = s*p. Solve -d*o - 5*h + 1 = -0*o, 0 = -2*o - v*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3505\/4 + -872. Find the common denominator of 43\/272 and v.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/84 + 197\/84. Let x(q) be the first derivative of 4*q**2 + 0*q + v*q**3 - 1. What is the second derivative of x(b) wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 + 1.2. Let t = 0.7 + o. What is the nearest to -0.1 in t, -4, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*n - 4*t = 20, -t = -2*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - 17*f + 4. Let d(r) = 7*r**2 - 32*r + 8. Let t(k) = -6*d(k) + 11*h(k). Let w be 4\/16 + (-17)\/4. Determine t(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0\/(-10))\/(-5) + (-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 9*y - 16 + (2 + 1 - 5)*(-1 - y + 1))*(31 - 46 + 43)*(4 + 1 - 4) in the form q*y + d and give q.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Let h(w) = w**3 + 7*w**2 - 103*w - 6. Let c(r) = 2*r**3 + r**2 - 98*r + 1. Let l(k) = c(k) - h(k). Give l(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 0)*(32345 + 389*m - 32345)*(2 - 2 - 2*m).\nAnswer: -5446*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 279.10053 milliseconds?\nAnswer: 0.000077527925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*v**6 + v**5 - 9607*v**3 + 5096407*v**2 wrt v.\nAnswer: 600*v**3 + 60*v**2 - 57642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16444905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-3 + 28\/8))*6. Suppose 0 = x*t + t - 8. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 + -1ac9?\nAnswer: -1a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/395023 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -2, -3, -0.2, 3\/8, -1\/3 in increasing order.\nAnswer: -3, -2, -1\/3, -0.2, 3\/8, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -906, -1362, -1824, -2292, -2766, -3246?\nAnswer: -3732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8144*i + 302176 + 199064 = -18*i - 396580 for i.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n. Let t(q) = 6*q + 1. Let g(d) = 2*m(d) - 5*t(d). Let x(i) = -4*i - 4. Suppose -2*h + 6 = 12. Calculate h*g(u) + 4*x(u).\nAnswer: -4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98392.21cm to kilometers.\nAnswer: 0.9839221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63892*o**3 - 432*o - 63844*o**3 - 5184 - 182*o**2 + 749*o**2 + o**4 = 0. What is o?\nAnswer: -24, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnfnnnnfnnnfnnnnn. Give prob of sequence nf.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 4*j + 339. Let a(b) = 2*b**2 - 3*b + 337. Give 5*a(u) - 4*k(u).\nAnswer: 2*u**2 + u + 329","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -1\/420*z**6 - 1\/210*z**5 - 7*z**2 + 5\/84*z**4 + 0*z - 1\/7*z**3 + 0. Factor d(x).\nAnswer: -2*(x - 1)**2*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 4*h + 1. Let c(n) = 5*n**2 - 74*n + 4. What is the remainder when c(-3) is divided by w(-5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -19. Put -7, -3, w, 0 in decreasing order.\nAnswer: 0, -3, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**3 + 335*z**2 - 5775*z + 5445 = 0. Calculate z.\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.042 - -0.292. Let x = d + -1.25. Are x and 3\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*i**3*r**4 + 7*i**3 + 2*i**2*r**4 + 4 wrt r.\nAnswer: 108*i**3*r**3 + 8*i**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5090)\/1018 - (1\/(-2) - 9\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53977690, 107955381, 161933072, 215910763, 269888454?\n\"Answer: 53977691*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(56\/(-100))*(-56)\/8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -108, -124, -150, -186?\n\"Answer: -5*l**2 - l - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142521, -285044, -427565, -570084, -712601, -855116, -997629?\n\"Answer: r**2 - 142526*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.653 - 1.654961. Round s to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 0, 0*y - 5*y + b + 1439 = 0. Let q(p) = 79*p**2 + 3. Let t be q(1). Calculate the greatest common factor of y and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/19, 0.01, 23, -0.5, 16.6?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -654906*w**3 + 8*w**2 + 177477*w wrt w?\nAnswer: -3929436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 34 = 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -153, -160, -161, -156?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-91)\/(-65) + (-2)\/5. Suppose -o + 0 = -c, u + 3*o - 5 = 0. Suppose 0*x - 3*x + 12 = -w, 0 = u*w. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13911729?\nAnswer: 3, 13, 17, 20983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474387?\nAnswer: 3, 158129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*h - h + 295 = -40*k, 0 = 4*k - 4*h + 12 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 256498525.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((87 - 25) + (-6 - (8 - 11)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2480*g + 36311 = -5781*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (211584\/(-432))\/(-58)*1\/(-2)*1 and -20\/3351.\nAnswer: 10053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6616207.\nAnswer: 13, 101, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 48. Let q(m) = 21*m + 8. Let u(h) = -85*h - 36. Let r(n) = 9*q(n) + 2*u(n). Give r(k(i)).\nAnswer: -38*i**2 + 912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2295889614.\nAnswer: 2, 3, 167, 197, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 6*z + 14. Let o be x(10). Let c = o + -50. Suppose 0 = -3*q + 15, -5*y - c*q - 93 + 443 = 0. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -120269, -122049, -123829, -125609?\n\"Answer: -1780*r - 118489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a + -c4242?\nAnswer: -c41c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 3*u**2 - 4*u - 3. Let f be l(-3). Let h = -31 + 94. What is the greatest common divisor of f and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 1. Let m be n(-3). Let l be 134\/(-4) - (-6)\/m. Let x = l + 55. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35863 and 54.6?\nAnswer: 1958119.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2499\/(-35))\/7 - (-24)\/20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*c - 4*d, c + 0*c - 3 = -d. Let i(x) = 3 - 3*x**2 + 6*x - 5*x + 4*x**2 + 3. Calculate the remainder when i(0) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25099, 100415, 225969, 401785, 627887?\n\"Answer: 4*a**3 + 25095*a**2 + 3*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 3, p: 5, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -1. Is ((-156)\/(-9))\/((-2)\/g) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 509787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6532 and 2139?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12905925*f**2 + 16905100*f + 1.\nAnswer: 25811850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3951387*i**3 - 117377611*i wrt i?\nAnswer: 23708322*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 14. Let z = 22 + -16. What is the common denominator of 141\/z*2\/g and -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224.44 - 224. What is the nearest to -2\/5 in x, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 454 - 358. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -129*w**3\/4 - 1737*w**2\/4 - 2025*w\/2 = 0.\nAnswer: -450\/43, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m - 2. Let b(a) = -12*a + 6. Give -5*b(x) - 14*d(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -585.\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 12 - 16) + 0\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 6) to base 10.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*h - h = -55*h + 1676 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 25*j**2 + 4780*j - 127925 = 0.\nAnswer: -215, 119\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57489979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1216 and 214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1813516429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1173.8 and 0.1?\nAnswer: 1173.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**3 + 133*z**2 + 60*z - 76. Give g(27).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 3*n - n)*(162*n**2 + 90*n**2 - 129*n**2) to u*n**3 + i*n**2 + p + q*n and give u.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 3*g**2 + 13067460 - 13067460.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/17, 0, -21944, 5, -1\/16 in descending order.\nAnswer: 5, 2\/17, 0, -1\/16, -4, -21944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125574512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -2\/13, 0.2, -78 in increasing order.\nAnswer: -78, -2\/13, 0.2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19 - 1\/(-3 + 2). Suppose 2*w + 3*r - 8*r = z, -3*r = 6. Suppose 0 = w*q + 12 + 3. Which is the second smallest value? (a) -0.3 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*g - 3*o, -2*g - 3*o = 2*o - 30. Solve -3*p + 0*p + g = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 1\/12*v**4 + 1\/60*v**5 - 1\/120*v**6 + 0 + 7*v**2 + 0*v + 20\/3*v**3. Is 20 a factor of r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 22*b - 16470. Is 38 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2371, -1785, -199, 2885, 7965, 15539, 26105, 40161?\n\"Answer: 83*p**3 + 2*p**2 - p - 2455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 647649687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80217921.\nAnswer: 3, 7, 3819901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -102184*-165\nAnswer: 16860360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/6647 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 - 5*w**2 + 23*w + 5. Let a(d) = -2*d**3 + 3*d**2 - 11*d - 3. Give 5*a(t) + 3*u(t).\nAnswer: -t**3 + 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36175.50207 rounded to the nearest 100?\nAnswer: 36200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15d6a07 + -3?\nAnswer: 15d6a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95343578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2520 = -3*y + 3*o + 2295, -4*y + o = -6405. Suppose 0 = -4*z - 6*z + y. Let p be (z\/(-15))\/(3\/(-45)). What is the highest common divisor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179456697.\nAnswer: 3, 7, 37, 167, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3389 - -10081\/3. Let p = 28 + b. Let o = -57\/2 - -29. Is o greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.85 - -20. Let x = j - 0.19. Let a = x + 0.0404. What is a rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p - 358. Let u be z(36). Let g(n) = 7 - 12 + u*n**2 + 6 - 3. Give g(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = -5*o, q - 10 = 3*q. Let j be o*(-2 + -3)\/(-1). Suppose -x - 2*x + 3*c + 84 = 0, -j*x + c = -120. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1670*b**6 - b**5 - 7*b**2 + 13*b - 20?\nAnswer: 200400*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - w + 2 = -3*w, 4*j - 23 = 3*w. Suppose 2*c - 6926 = k, -3*k - j = -2*k. Let t = -2249 + c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 28, -3*u - 23*d = -19*d - 76. Let v = -1 + 0. Let i be (-14)\/(-6) + v\/3. Put u, 5, i in decreasing order.\nAnswer: u, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 4. Let q be m(-2). Find the third derivative of 5*r**4 + 6*r**4 - 7*r**2 - 8*r**2 + q*r**2 wrt r.\nAnswer: 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64329225 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -21805000\/9*z + 4\/9*z**4 + 123200\/3*z**2 - 2104\/9*z**3 + 21437500\/9 = 0.\nAnswer: 1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-280))\/(1*2\/133).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4) + 2 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3*(-1)\/((-3)\/(-54)). What is the remainder when 72 is divided by (-942)\/(-36) - 2\/f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 463\/((-1)\/((-3)\/3)). Suppose 0 = 3*l - c - 263. Suppose 4*j - 6*j = -l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/40)\/(1\/(-37)) - (-2)\/5?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 320, 518?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 2*f**2 - f + 5. Let b(o) = -3*o**3 - 4*o**2 - 3*o + 9. Let n(d) = -5*a(d) + 3*b(d). Give n(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*((c\/(c*c**(4\/7))*c)\/c)\/c)\/(c*c\/c**(3\/10)))\/(c**(-3)*(c\/c**(-2\/7))\/c) assuming c is positive.\nAnswer: c**(171\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 236*o - 3081. What is d(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9729.\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -8*o**3 + 43*o**2\/2 - 65. What is the second derivative of r(b) wrt b?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -2*p**7\/21 + 299*p**5\/20 - 6551*p**3\/6 + 8204*p. Find the second derivative of l(m) wrt m.\nAnswer: -80*m**3 + 1794*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8602 < -8775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 0 + 4 - 2 - 4 + (-3 + 1 + 0)*(-1 + 1 + 1) + 2 + 1 - 2)*(6*g - 5*g - 4*g).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 12*y**2 + 40*y - 65. Let f be v(8). Put f, 41, -5, -3, 4 in ascending order.\nAnswer: -5, -3, f, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 9876*l = 9875*l - 10, -5*m - 3*l - 19 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 8*m**3 + 970. Let a(y) = -120*y**2. Determine r(a(t)).\nAnswer: 345600*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - (sqrt(468) - -2*sqrt(468)*-6)) + sqrt(468))*-2)**2.\nAnswer: 316368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.125 + 0.075. Is w equal to -27\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7190.\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 590 = 212. What are the prime factors of (-9)\/q - (-246)\/7?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let s(b) = 14*b**2 + 10*b - 10. What is a(s(c))?\nAnswer: -14*c**2 - 10*c + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let d(m) be the third derivative of 3*m**4\/8 + m**3\/6 - 74*m**2. Calculate k(d(j)).\nAnswer: 9*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*h - 192, 5*i + 207 = 2*h - 0*i. What is the highest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1)\/((-4 + 18)\/(-2))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 3417?\nAnswer: 37587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5 = 3*m, 10*n - 7*n = 5*m + 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/(-11)*(-242 - (183 + -436))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -132.\nAnswer: -118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-20)*(-210)\/12. Suppose -5*l - c - 4 = -3*b, 3*b + 5*l - 48 = 0. Solve b + 4 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -240*h**3 - 74*h**2\/7 + 6*h\/7.\nAnswer: -2*h*(24*h - 1)*(35*h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 258672 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 18 - 30 - 23*o)*(0 + 1 - 2) + 5*o - 5*o - o.\nAnswer: 22*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n + 281. Calculate f(-60).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 6*m + 1. Give d(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 40 = -0*v. Let b be 20\/(-30) - 232\/12. Let y = v - b. What is the remainder when 71 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7266, -2540, 2186, 6912, 11638?\nAnswer: 16364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47240, -47253, -47274, -47303, -47340?\nAnswer: -47385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 - (-4 - -5). Let u be v\/2*(-1 + 1). Let i(c) = c + 3. Is i(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/12 and 113\/2160?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.3 (b) -2 (c) 118 (d) 2\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 276 (b) 1 (c) 151915\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 + 2*w**3 + 5*w**2\/2 - 2*w + 2. Does 14 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4655 - 1?\nAnswer: -4656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgprrgrrrfhrggt. What is prob of picking 1 f and 1 g?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 11286.\nAnswer: 45144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37404 is divided by 343?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 7*v**2 - 5*v - 1. Let h(x) be the second derivative of -x**4\/2 + 2*x**3\/3 + x**2\/2 + 3*x + 422. What is -7*h(a) - 6*l(a)?\nAnswer: 6*a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145297 and 68556749?\nAnswer: 4687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10158025589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 287, 283, 285, 293, 307?\n\"Answer: 3*d**2 - 13*d + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 427.1135 - 131.\nAnswer: 296.1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -11. Put -3\/4, t, 0.1 in ascending order.\nAnswer: t, -3\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -8, -3, 172, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z + 4*r = -29, -43 = -2*z + 3*r. Suppose 3*v + 2 = z. What is k in 2\/3*k**4 - 32\/3*k**2 + 0 - 35*k**v + 71\/3*k**3 + 4\/3*k = 0?\nAnswer: -1, 0, 2\/7, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*23 + (-36261)\/(-2295))\/(34\/40 + -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 248 - 164 = 0. Suppose -5*l + 17*u + 6445 = d*u, l - 1289 = -4*u. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 7*p - 8. Suppose 22 = -10*g + 92. Suppose -17 - 7 = 4*t. Let m be t\/(-9)*(2 + g). Calculate r(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4, 261, 9.\nAnswer: -5, 3, 4, 9, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 2166, 6985, 16294, 31587, 54358, 86101?\nAnswer: 128310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5488248043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let p(u) = -2*u**2 + 15*u - 21. Let j be p(6). Let y(c) = -7*c. Give j*n(a) - y(a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, u: 2, z: 1, q: 2, p: 5, o: 2}. What is prob of sequence uog?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -49d?\nAnswer: 4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11374120.\nAnswer: 2, 5, 127, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/((-780)\/(-72)))\/(8\/(-20)). Solve 6*c - h = -33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1094*k - 21596 - 26057 + 10457 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3260296 divided by -4888.\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b + 1. Let q(x) = -7*x. What is q(a(o))?\nAnswer: 70*o - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 6 in descending order.\nAnswer: 6, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1324.2*-0.2\nAnswer: 264.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 3*z**3 - 27*z**2 + 28*z**2.\nAnswer: 2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/2 + 12\/(-60)*0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-3)\/(45\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1034710, 2069481, 3104254, 4139029, 5173806?\nAnswer: 6208585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*f**2 + 50*f**3 - 97*f**2 + f**4 + 166*f**2 - 11 as j*f**4 + h + a*f**2 + s*f + k*f**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/5)\/(k\/k**(-1\/7))*k**(2\/5)\/k*k\/(k**(4\/7)\/k) assuming k is positive.\nAnswer: k**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*l**2 - 17*l**2 - 15*l**2 - 11*l**2 - 1 + 307*l.\nAnswer: 2*l**2 + 307*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111001010010 + 0?\nAnswer: 1001111001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 458*k**2 - 41889*k + 919512.\nAnswer: -(k - 344)*(k - 81)*(k - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 22*m**2 - 18*m - 120. Let w(n) = -n**3 + 59*n**2 - 101*n - 718. Let o be w(57). Give q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -83 - 32. Suppose -b = -4*r + 41. What is the units digit of (r\/10)\/(1\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 2*v**3 - 3*v**3)*(4 - 4 + 2)*(0*v**2 + v**2 + v**2).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 190783 from -1.\nAnswer: -190784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + -34. Let t be (44\/o)\/((-4)\/10). Suppose -3*h - t*q = -49, -4*h - 2*q + 57 = -11. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30771779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 - 7*w**2 - 5*w - 1. Let g(v) = 4*v**3 + 6*v**2 + 4*v + 2. Let a(n) = -2*g(n) - 3*h(n). Calculate a(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 12*k**2 - 262*k + 1278. Determine u(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 85863754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5 = -5*a + 40, -3*n - 2*a - 21 = 107*n - 5*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/10)\/((-6)\/(-540)). Let s be 9\/2*g\/243. Factor -6 + 4*m**2 + 8*m + 0*m**2 - 5*m**s - m**2.\nAnswer: -2*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52, 65, 96, 151, 236, 357, 520, 731?\n\"Answer: u**3 + 3*u**2 - 3*u + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-9) + 18 - (-1056)\/(-468)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 + 2*d + 3. Let s be u(3). Let b = 46 + s. Solve -k = 2*k - 5*j - 4, -5*j - b = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.1, 4, -3, -1\/1038, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*6\/3)\/(3*3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5283*c - 6809*c + 840*c + 3376*c - 8053*c + 1716*c.\nAnswer: -14213*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 55*b**2 + 3*b + 1. Let x be m(-1). Let p = -43 + x. Let u = p + 12. Is u at most as big as 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22564\/11 or -2050?\nAnswer: -22564\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 835*t**2 - 7603*t - 64. Give u(9).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 722600963 to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)*(x\/x**(2\/15))\/x)**(-47) assuming x is positive.\nAnswer: x**(2914\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(49*h + 88*h - 87*h).\nAnswer: -100*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*y + 2*i = -189*y - 80, 0 = y + i - 23. Suppose -2*k + 7*k = 935. Let z = k - 119. What is the remainder when z is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -9*w**2\/2 + 19. Let h(v) = 9*v**2. Give k(h(d)).\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -344, -1, 0.2, -4 in descending order.\nAnswer: 3\/2, 0.2, -1, -4, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -9*l**7\/7 - l**6\/30 + 32*l**3\/3 + 106*l + 1. What is the second derivative of x(n) wrt n?\nAnswer: -1080*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/622758 and 32\/311379.\nAnswer: 622758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970 = -3*x + 958 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 2018?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Suppose 63 = 3*g - g - 3*t, 5*t - 39 = -s*g. Is 6\/g - 79\/(-9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-4) - (-6)\/(-8). Let j = -6 + 8. Let y = v + j. Solve -w + n + 8 = -y*n, 4*n = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041655105 rounded to 7 decimal places?\nAnswer: 0.0004166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 14) to base 2\nAnswer: 1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 15*w**2 - 33*w - 7. Let f be h(17). Let j = -6 - -26. What is the greatest common factor of j and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -57*p**3 + 2*p - 1. Calculate q(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/247 + 5628\/(-546)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 44751 = -18*t + 3*a, -8*t = -5*a - 89535. What are the prime factors of t?\nAnswer: 2, 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-690)\/(-575)*(-10)\/64).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.9071 + 12.95. Round c to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + 329\/(-14))*(-16)\/6. What is the highest common divisor of 143 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*z**3 + 24*k**2*z**2 - 1025*k**2*z + 6*k*z + 7*z**3 - 142 wrt k?\nAnswer: 2*z**3 + 48*z**2 - 2050*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49882489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 155\/7 + (-2)\/14 + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -1 + (0 - -1). Suppose -6*o + 5*o + 75 = l. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 676524571\/55520 + -389965\/32. Let q = 12\/347 - n. Factor 6*l**2 - 29\/5*l - 7\/5*l**3 + q.\nAnswer: -(l - 3)*(l - 1)*(7*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = -23. Let j = -13 - -22. What is the greatest common divisor of j and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 5:02 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-1836)\/(-921) + -2). Let b = g - 66. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1970, -0.4, 1.\nAnswer: -1970, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -0.02?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5*2*-2*sqrt(17) - sqrt(85)\/(5*sqrt(15)\/sqrt(3))) + -3).\nAnswer: -3 + 99*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 45*m + 2. Let f(l) = l**2 - 63. Determine f(p(g)).\nAnswer: 2025*g**2 + 180*g - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 smaller than 220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 140, 199, 258, 317, 376?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -74938*d + 74937*d + 1, -20 = -4*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*s - 40. Suppose 5*w - 4*p - 24 = 0, -s*w + 3*p - 36 = -9*w. Calculate the remainder when 13 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 32*r**2 - 85*r - 532. Calculate u(-34).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726 and 25168.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50783301 divided by 4233\nAnswer: 11997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (43 - 23) + (3 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 40*f**2 - 16*f - 289. Is o(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-55)\/(-5))\/22)\/((-2)\/24*-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 33200?\nAnswer: -33130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 13518.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -444295\/24 - -18509. Let u = -27\/8 - q. Are u and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132*i - 5*i**5 + 126*i**4 + 213 + 120 + 582*i**3 + 1020*i**2 + 8*i**5 - 111 + 915*i.\nAnswer: 3*(i + 1)**3*(i + 2)*(i + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 9:55 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7033337*h**4 - 7767124*h - 4?\nAnswer: -84400044*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2750 and -73\/550.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-248)\/2480)\/(((-3)\/(-3))\/(-18))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204218 + 17364558\/85. Let y = t - 354\/5. Let w = -6 - -4. Which is the smallest value? (a) w (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + -3 + (-108 - -100) - -58?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101213 + 131?\nAnswer: 101344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 1)*(1 - v - 1) - 16747 + 16747 + 4511*v to the form f*v + y and give f.\nAnswer: 4507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (48 - 34) - 21.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35, -214, -703, -1658, -3235?\n\"Answer: -26*d**3 + d**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -201.38 - -203. Let h = t + -1.5. Let s = 3.12 - h. What is the nearest to -2 in 0, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*h + 16, -5*m + h = -3*h - 2. Let u = m + 3. Suppose -42 = -u*a + 178. Calculate the greatest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -463210 from 13.\nAnswer: 463223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 122, 206, 320, 470?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363983633 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d\/d**(-5\/6))*d**(-3)*d**(-5\/3)\/d**3)**(-10\/3))**(11\/4) assuming d is positive.\nAnswer: d**(935\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*b + 4142 = -5*b + 110*b for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*((-11)\/(-9) + 26\/(-117)). Suppose -q*w + 360 = -w. What is the remainder when w is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4467259 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Let a be -4 + 0 + (-184)\/(-44). What is the third biggest value in v, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -120, -7, 154, 363, 620?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - -66*2013\/(-5544).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-8323.\nAnswer: -58261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.18 (b) -3\/5 (c) -2\/3 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5714674?\nAnswer: 2, 7, 58313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29054 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1184*w - 1768 = 1182*w. Does 83 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3\/3 - 3*z**2 + 12*z + 112. Let p be k(5). Solve -2*d = -3*c, 1 - p = 4*d - 3*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, c: 6, x: 3, j: 2}. What is prob of picking 2 j, 1 g, and 1 c?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -463, 2, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (5 + 2 + -11 + 2 + -14 + 9)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 1. Let u(x) = -23*x + 12. Let z(w) = -6*q(w) - u(w). Calculate z(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 7*v = -5*v. Let a(y) = 3*y**3 - 2*y**2 + y + 13. Let g(r) = -4*r**3 + 3*r**2 - r - 12. Let t(w) = -3*a(w) - 2*g(w). What is t(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oogm when four letters picked without replacement from {m: 1, g: 4, h: 2, s: 1, y: 2, o: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1464860 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 86*a**5 + 2*a**3 - 25*a**2 - 4. Let h(m) = -85*m**5 - 3*m**3 + 24*m**2 + 4. Let l(s) = 2*h(s) + 3*i(s). What is the third derivative of l(d) wrt d?\nAnswer: 5280*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -2568.\nAnswer: 31\/2568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 15, 21 = -3*u + 7*u - s. What is the remainder when (-1 - 2\/4)*-4 is divided by 6 - u*2\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16+898.23\nAnswer: 898.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1895925.\nAnswer: 3, 5, 17, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 23 = -k, -17 = 2*k - 3*k + b. Suppose 0 = t - k - 5. Let w(i) = i**3 + 8*i**2 + 11. What is the remainder when t is divided by w(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -44241*d - 44185. Calculate k(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20058755 and 535?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4\/7))**(7\/13)*(i**(6\/11))**(-8))**21 assuming i is positive.\nAnswer: i**(-12411\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163013 is divided by 1155?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18510 - -44958. What is the least common multiple of g and 6?\nAnswer: 26448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 8. Let j be v(4). Suppose 3*p = 6*p. Suppose 10*n - 54 = 8*n - 4*y, -5*y + 15 = p. Solve 4*t = l - 6*l - n, -4*t - 20 = j*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -89746.\nAnswer: 5\/89746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + 4*s)*(1 - 4 - 1) - 2*s + 3*s - 3*s + (0 - 6 + 4)*(3*s - 2*s - 3*s).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 + -239. Let f = o - -572. List the prime factors of f\/28 + 6\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) -73\/5 (c) 0.5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 4, -57, -192, -425, -780?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - z = 15, 3*z - 453 = 2*s - 448 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -183 (b) -4\/9 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1220*i**3 + 4*i**2 - 48*i + 43. Determine s(1).\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-315)\/(-12)))\/((-4)\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2 = g - 9, -r - g + 5 = 0. Which is the smallest value? (a) 3 (b) 2\/21 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202857.\nAnswer: 3, 67619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -294 and -0.4.\nAnswer: 117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -3, 0.0558?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (5 + 7 + -15)) + (9 - 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 78 = 5*b, 5*b - 2*t - 2*t - 62 = 0. Let a be b\/6 - 2\/6. Suppose 3*j + 15 = 0, 2*j + 28 = a*u + 10. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34.5656, 0.2, 0.4 in descending order.\nAnswer: 0.4, 0.2, -34.5656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 489*j**2 - 188*j - 10. What are the prime factors of f(6)?\nAnswer: 2, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-21)\/(-3))\/(1\/1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59467085 to the nearest integer?\nAnswer: 7711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507*d = -245*d - 250*d - 30624. List the prime factors of d.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2*p**3 + 2*h**2*p**2 - h**2*p - 259*h**2 + 5*h*p**3 - 9748*p**3 + 60*p**2 wrt p?\nAnswer: 6*h**2 + 30*h - 58488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 2*v**2 + 4*v + 2. Give q(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1)\/1*-1282. Suppose p + p = n. Let s = p - 1311. Round s to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2475\/12 - 4\/16. Let d = t + -198. Solve d*h - 16*h - 16 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2))**(3\/23))**(6\/23) assuming b is positive.\nAnswer: b**(9\/529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**2 + 14*u + 160 - 82 - 81 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.9, -6314, -0.1, 4.\nAnswer: -6314, -3, -0.9, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 4*c**2 - 3*c. Let f be u(2). Let b = f + -28. Is 19 a factor of (-3978)\/(-42) - b\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 330?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300211102 - -31?\nAnswer: 300211133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4725\/(-54))\/35*92\/26795\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 + 27 - 8*s**3 + 21*s**3 + 2*s**2 + 0*s**2.\nAnswer: 6*s**3 + 2*s**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 11 - 1 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155190305?\nAnswer: 5, 181, 171481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 5*k**2 + 2*k + 5. Let o be v(4). Let r = 4 + o. Solve -t + 4 = -2*n + r, 11 = -3*t + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30935 + 2\nAnswer: -30933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -38*r**2 - 4*r - 3. Let f(g) = 115*g**2 + 11*g + 8. Determine 3*f(v) + 8*w(v).\nAnswer: 41*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.064241 millennia to centuries.\nAnswer: 0.64241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58821 by -19607.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65952.9971621 + -65953. What is l rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -1\/7*f**4 + 12\/7 - 25\/7*f + 13\/7*f**2 + 1\/7*f**3 = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865805262 to the power of 1\/3, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**6 + t**5 + t**3. Let r(g) = 5*g**6 - 4*g**5 - 4*g**3 - 14*g**2. Let d(h) = 4*b(h) + r(h). Find the third derivative of d(u) wrt u.\nAnswer: 1080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 23*g**2 + 14*g + 14. Let j(h) = -2*h - 1. Let o(u) = -8*u**2 - 15*u - 10. Let x(m) = 5*j(m) - o(m). Give 17*x(w) - 6*z(w).\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114.6 + -114.56215. Let u = 0.1 - 0.064. Let c = f - u. Round c to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7094 - -17029. What is o rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/4*((-14)\/30)\/((-70)\/180)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*w = -957*w - 26 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 5*w = 21. Let d be w - ((-30)\/(-40) - (-782)\/(-8)). Let p be (d\/(-4))\/((-4)\/64480). Round p to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3030, 6341, 9662, 12993, 16334, 19685, 23046?\nAnswer: 26417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 363 = -5*l, 4*l + i - 284 = 5*i. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3907950.992 rounded to the nearest 100?\nAnswer: -3908000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 25983.87375 to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = 3*m + 184. What is the biggest value in m, 0.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 6397*z - 6394*z - 21, 2*z - 4 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1710, -1768, -1826?\n\"Answer: -58*c - 1652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**8\/56 + 29*b**5\/10 + 1711*b**4\/12 - 1392*b - 1. What is the third derivative of s(i) wrt i?\nAnswer: 120*i**3 + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 86*m**5\/3 + 201*m**4 + 781*m**3\/3 - 593*m**2\/3 - 289*m - 10\/3 = 0.\nAnswer: -5, -2, -1, -1\/86, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*d = 2, -31 = 2*y + 3*d - 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5*v**3 - 6.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 5. Let w(q) = q. Let u(a) = 12*a. Let n(b) = 2*u(b) - 7*w(b). Give s(n(r)).\nAnswer: -17*r - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2654 - -2654.3. Which is the closest to k? (a) 12 (b) 5 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - g = g - 14, 4 = -4*x + 2*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 13*z. Suppose -2*m + 8 = 4*j, 0 = j + 3*j - 5*m - 8. Let p(k) be the first derivative of 1\/2*k**j + 0*k + 3. Give i(p(s)).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -42. Let l(w) be the second derivative of -w**3\/2 + 3*w**2 + 8*w. Let a be l(h). Solve -5*i = j + a, -4*j = 4*i - 9*j - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x**2 - 565*x - 367. Give k(52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -85.8, -265, 0.5?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 10) in base 2?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 10*h**2 + 13*h - 5. Let j be r(11). Suppose -x + m - 3 = -j, 36 = 2*x + 2*m. Let g = x - -6. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 790 times -1.24\nAnswer: -979.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -110, -114, -92?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 9}. Give prob of picking 2 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 7*m + 285*m**2 - 285*m**2 + 2*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/36 - (-33)\/27. What is the closest to o in -2\/3, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3350 divided by -5?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 15) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 637.493 litres to millilitres.\nAnswer: 637493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360352.\nAnswer: 2, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054307.3us in minutes?\nAnswer: 0.034238455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0867 rounded to three decimal places?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, -3, -2 in descending order.\nAnswer: 227, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47037, -188141, -423307, -752529, -1175801, -1693117, -2304471?\n\"Answer: o**3 - 47037*o**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 + f**2 + 44*f**2 - 4*f**2.\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11c61 - -4?\nAnswer: 11c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12990 + 25977\/2. Which is the third biggest value? (a) -2\/3 (b) h (c) -2\/21 (d) -2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13*n**2 - 3*n - 15. Let j = 37 - 32. Let p be b(j). Is p + 17 + -6 + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 432479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006153 rounded to 7 decimal places?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/((-4)\/(-36)). Suppose -3*z = 4*k - 6*z + 4, -22 = -5*k - c*z. Solve 4*n = -5*j + 40, -k*n - j = 3*j - 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**2)**(1\/13)*a*a*((a*a*a**10\/a)\/a)\/a*a*a**(4\/13)*a*a*a assuming a is positive.\nAnswer: a**(198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 53*a + 149. Let z be m(-29). Solve -5*n - o + 23 = -1, -n - z*o = -20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12527*o**3 + 59*o - 63 wrt o?\nAnswer: -75162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.56 - 17.9. Which is the nearest to 0? (a) 4 (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*q = 0, f + 0*f = 3*q + 16. Suppose f*h - 481 = -25. Calculate the highest common factor of 38 and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86397588 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.05, -2\/7, 0.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 5*a)*(-2*a**2 - 2 + 2) + (0*a + 5*a - 4*a)*(-3*a**2 - 3*a**2 + 7*a**2).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 10*k - 8. Let v be u(7). Let i = 17 - v. Suppose h - j = -h + 64, -i*h + 116 = j. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.636 - 0.536. Let d = 39.1 - q. Which is the second biggest value? (a) -0.04 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130.53 + -0.47. Let r = -131.14 - c. Suppose 0 = 4*n + 4*x - 7*x + 13, -x = n + 5. What is the second biggest value in -2\/5, n, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -45.9925. Round t to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70657 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 189 = 335. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-4)\/(-10))\/(9 + -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440740147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2056064 + -2?\nAnswer: 2056062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 4833975806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 781163477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*28\/(-165550)*43.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 11*y - 105 = 6*y, -3*q = 212*y - 209*y - 63 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-20)\/8*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-6) - -1)*1. What is the closest to g in -4\/5, -4, 4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47672010 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (13\/3)\/(16\/(-48)). Let v(t) = 11*t**2 + 13*t + 4. Let k(d) = -5*d**2 - 6*d - 2. Calculate j*k(w) - 6*v(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10001010101 (base 2) to base 11\nAnswer: -919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*l + 12540 = 1284*l + 200*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-20) + (-4)\/(-10). Let f = -224\/3 - -74. What is the nearest to g in f, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7299216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4470980.5 to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 355 + -305. Calculate the remainder when 194 is divided by x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-162)\/12*4\/(-6). Let c be (-4)\/(-3) + 1158\/v. Suppose 0 = -14*w + 19*w + c. Put 4, 1, w in descending order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 265*j - 4. Let z(m) = -4*m**2 + 269*m - 4. Calculate 3*b(i) - 2*z(i).\nAnswer: -i**2 + 257*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 times 79.8?\nAnswer: 48997.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484758, -1938423, -4360992, -7752465, -12112842?\nAnswer: -17442123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w. Suppose w = 5*o - 16 + 1. Solve o*z + 6 = -0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 753013857 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*y + 71*y - 35*y + 0*y + 4*y - 2*y + 2*y - 7*y + 3*y + (2 - 1 - 3)*(-2*y + 0*y + 3*y))*(5*y - 2*y + 8*y).\nAnswer: 902*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 124243, 496995, 1118253, 1988017, 3106287, 4473063, 6088345?\n\"Answer: 124253*f**2 - 7*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21640 (base 16) to base 14.\nAnswer: -37bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/26 in -5.5, -235, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*x**5 - x**3 - 289*x**2?\nAnswer: 1320*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -513 divided by 57\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-56))\/((-2889)\/(-47187))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.261, 5, 0.036, -9?\nAnswer: 0.261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luufyau. What is prob of sequence fy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/44201088 and -31\/33966.\nAnswer: 132603264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 30 - 2*p**4 + 210*p**3 + 2*p**2 - 31 as n*p**3 + a*p + s*p**4 + d*p**2 + c and give n.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxgp when four letters picked without replacement from {c: 1, s: 1, g: 4, x: 2, p: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -84*y**2 - 63*y + 63. Let r(j) = -j**2 - j + 1. Let n(b) = b**2 - 26*b - 1338. Let i be n(51). Calculate i*r(q) + l(q).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1732501 is divided by 3543?\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1217 = 3*c, -4*c - 6 - 14 = 0. Suppose -56*o = -42*o - m. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1209, -5161, -9113, -13065?\n\"Answer: -3952*u + 2743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/2*(-12465 - -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ekkkkkkkkkkkekkkkkkk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265889630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3525300 (base 6) to base 15.\nAnswer: -391a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - u + 7. Let k be d(0). Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 - 2*f - 1. What is l(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 48840080*d**3 + 293040600*d**2 - 586081280*d + 390720880.\nAnswer: -5*(d - 2)**3*(d + 9768022)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31126 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 14*l**2 - 163*l - 16. Give t(6).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49854801 + 0.035.\nAnswer: 49854801.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*r = 6, j + 3*r - 7*r = -14. Suppose -5*g + j*g = -3*n, -g - 4 = -2*n. Suppose -45 = -g*x + 47. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84735 to the nearest 1000.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 424*w + 97*w**2 + 620*w - 194*w**2 + 96*w**2 to n*w + h + m*w**2 and give n.\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {s: 1, v: 1, k: 3, a: 11, r: 1, d: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62177523 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 2*n + 7*n - n - 2*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731944 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 43. Let m = 300 - 154. Suppose 0 = -5*b + g + m. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*l = -8 - 8, -3*v = 5*l - 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/620 + -30377\/1860. Is -16 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 935 - 456 = 7*m + z + 458, -2*z = -2*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.24288 kilometers to micrometers.\nAnswer: 49242880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -131*n - 911. What is the units digit of o(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r + 42. Let s be b(2). Solve 20 = -11*h - s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*i**3 - 39*i**3 + 165*i**3 - 117*i**2 wrt i?\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 497385 and -0.04.\nAnswer: 497384.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q - 24*q - 27*q - 3 - 14*q + 12*q in the form m + a*q and give a.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p + 5*t + 60 = 0, -5*p = -4*t - 64. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/109515 and -17\/83643.\nAnswer: 62314035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 0 + (-110910)\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**5\/30 + 2*t**3\/3 + 3*t**2\/2 - 31. Let l(j) be the third derivative of d(j). Let z(m) = -33*m**2. What is z(l(g))?\nAnswer: -528*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1496, -12177, -41192, -97709, -190896?\n\"Answer: -1528*g**3 + g**2 + 12*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-133)*28\/24\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5369 is divided by 992.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 112 = 2*y, 3*m - 4*y - 112 = 7*m. Let h = m - -56. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-5 + 3)*-1. What is the third derivative of 24 - 17*o**r - 10 - 14 - 12*o**5 wrt o?\nAnswer: -720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*g + 28*g - 20*g - 2466 = 0. Solve -g*o - 5*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/10)\/((-5)\/25). What is the tens digit of (-1*(-6)\/k)\/(1\/(-316))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2777197139 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13124.44 centuries?\nAnswer: 1312444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/605 and -82\/165.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2096\/(-4585))\/(2\/(-7))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37035 + (6\/(-21))\/(((-24)\/8)\/42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6819342 and -0.77.\nAnswer: -1.4519342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1655 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104564 or -104563?\nAnswer: -104563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 + (-9 - -5))) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 997 + 5\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756986\/197682 + (2 + (2 - 3) - 25)?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474 = -213*t + 107*t - 480 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 15*p + 32 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17685066 a multiple of 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**3 - 2*g**2 + (4*g + 284 - 284)*(1 - 2*g**2 - 1) + 0*g**2 + 0*g**2 - 3*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 + 86*j**3 - 86*j**3 - 29*j + (-3 - 2*j**3 + 3)*(-2*j + 1 - 1) + 0*j**4 + 0*j**4 + j**4 + 3*j**4 - 3*j**4 + 2*j**4 - 2*j**4 + 2*j**4 - 2*j**4.\nAnswer: 8*j**4 - 29*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 28 = 5*z, -d - 24 = -6*z + 11*z. Suppose 3*c + 0*c - x - 11 = 0, 4*x = 3*c + d. Factor -8\/5*u**3 + 4\/5*u**c - 8\/5*u**2 + 4\/5*u + 4\/5 + 4\/5*u**4.\nAnswer: 4*(u - 1)**2*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q = 19*q - 14*t + 45, -2*t = -2*q + 30 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + sqrt(684)*2 + -3*(sqrt(684) + -1) + 1*((sqrt(684) - -2*sqrt(684)) + -1))*3)**2.\nAnswer: -5832*sqrt(19) + 222345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:24 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 12*f - 8.\nAnswer: -4*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 10*p**2 - 3*p + 12. Let s be w(-10). Let o = 43 - s. Is (-9)\/((-9)\/296) - o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 3*m + 0*m)*(2*m + 6*m - 2*m + (m + 4*m - 3*m)*(-5 + 3 + 0)) in the form t*m + o*m**2 + x and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577 - 1628 - (-42 - 1) - (-2 - 74\/8)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 9*v - 7*v - 8, 0 = 5*x + 2*v + 6. Which is the second biggest value? (a) 4 (b) x (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/7)*l*l**(2\/35)\/l*l assuming l is positive.\nAnswer: l**(57\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, 5, -8, 1\/796, -16, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8) + (134\/938 - 202\/(-56)). Factor -15\/4*c**3 + d*c + 39\/4*c**2 + 0.\nAnswer: -3*c*(c - 3)*(5*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {p: 3, e: 2, x: 3, r: 11}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 13437*c**3 + 22295691*c**2 + 16190568471*c + 4321115790750.\nAnswer: 3*(c + 750)*(c + 1243)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 + 7*k**2 - 3*k**3 - 27*k**2 + 0*k**3 + 11*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (4 - 1345\/15)\/((-1)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8508.38 nanograms?\nAnswer: 8.50838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 6:45 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/((29\/((-174)\/24))\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 21. Let c(t) = 2*t**2 - 2*t - 38. What is the lowest common multiple of b and c(-5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 118. Solve 5*c + 2*l + 8 = 0, -2*c - 5*l - 3 = -n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1 + 2*r - 2*r + r. Let b(h) = 7*h + 5. Let k(o) = o**3 - 24*o**2 - o + 28. Let y be k(24). What is y*m(f) - b(f)?\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**4*o**2 + 128*b**4*o + b*o**2 + 2*b*o + 20*o**2 wrt b?\nAnswer: 36*b**2*o**2 + 1536*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/36 - -6 - (-86)\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(931) + -2 - sqrt(931)) + 5)*-1)**2 - ((sqrt(931)*-3 + -2)*-2)**2)*-1*-1.\nAnswer: -33523 - 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 9:44 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1282*g**4 - 1035?\nAnswer: -5128*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 691 + -196. Suppose -5*u - 5*m = -c, 5*u - 3*m - 145 - 326 = 0. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -904.107 + 215520.\nAnswer: 214615.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 6 = 0, -117*o = -121*o + 5*p - 46 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173911603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356822 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 68 = -12*i. Solve -k + 19 = 4*a, -k + i*k = a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1560*p = -353*p + 593 + 614 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -338*z - 1315476 + 1301280 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 9*b**2 - b - 4. Let p be n(-9). Solve -x + p*x - 12 = 2*d, -2*x = 5*d + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385436?\nAnswer: 2, 3, 13, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + s = -6 + 10, 2*c = 3*s - 12. Suppose 9*p = -c*p + 54. Solve 5*d = w + 3, 3 = -w + 2*d - p*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1435, 1756, 967, -926, -3917, -8000, -13169, -19418?\n\"Answer: j**3 - 561*j**2 + 1997*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79726059?\nAnswer: 3, 7, 421831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.57 + -0.57. What is the third biggest value in 0, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46234 at least 0.055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4925*f - 14772. Let c be a(-3). Let x = 0 - -1. Solve -c = g - x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2089 = 3*o - 295. Let r = o + 1257. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1*-6)\/(-3*sqrt(8)*4 + sqrt(8)) - (3 + 2 + (sqrt(1584) - (0 + sqrt(1584))) + 1)**2.\nAnswer: -36 + 6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, 4, 2.\nAnswer: -1, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -26*i. Let p(n) = -371 - 8*n - 373 + 744. Give p(g(b)).\nAnswer: 208*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 6 = -7*u, 4*t - t - 18 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19733*o = 19099*o - 33602 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.3, -0.07, -1.1, 0.2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40919 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {d: 1, y: 1, b: 1, f: 1, t: 1, h: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6*z - 5 = 4*z, 4*g = 2*z + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587515.7 rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1343*x**3 + 14*x**2 - 12*x - 93. Let d be s(-13). Round d to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1381727 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*y = 39*y + 1365. Calculate the highest common divisor of y and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/60 and -65\/33.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10842646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3 + 32\/12). Suppose 0*a = -2*a + 8. What is j in j**5 + j**3 + 0*j**o + 0*j**a + 2*j**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*l - 2*l. Suppose -d - 5 = -l*d. Let k(h) = -4*h - 16. What is the remainder when k(d) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18129 is divided by 475?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 8:13 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/2 - (-2485)\/(-3). Suppose 4*h = -o - 821, 4*o - 4*h + 3194 = -2*h. Let r = o - x. Calculate the common denominator of r and -7\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 (base 15) in base 6?\nAnswer: 24025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5.67 in descending order.\nAnswer: 4, 3, -5.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 3 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u + 49. Let o(w) = 7*w + 208. Let q(x) = 9*x + 240. Let l(h) = -6*o(h) + 5*q(h). Determine 2*j(c) + 3*l(c).\nAnswer: c - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149087 is divided by 297.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z**2 - 25*z + 12. Let a(o) = -3*o**2 + 8*o - 4. Let d(u) = 7*a(u) + 2*l(u). What is d(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -677 - 14*z - 2934 + 4*z + 8*z + 332 in the form x + l*z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19)\/(-2))\/((-3)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 9) in base 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -291 and 0.5.\nAnswer: -145.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/1 - (3 + -116). Calculate the highest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82043280 is divided by 1166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 123780 divided by 24756\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o - t + 8, o = -3*t - 8. Let k(p) be the first derivative of 17*p**3\/3 + p**2\/2 + 4*p + 62. What is the units digit of k(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*s + 6*s**2 + 10 - 10 - 170*s to h + o*s**2 + x*s and give x.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25184?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.551\nAnswer: 1.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0839 times -0.2\nAnswer: -0.01678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242\/9 - 27. Let m = -1\/41 + 207\/82. Let s = -26 + 25.8. What is the closest to s in m, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 822, 3, 2 in increasing order.\nAnswer: 2, 3, 5, 822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 233 in descending order.\nAnswer: 233, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1723, 8262, 19165, 34438, 54087, 78118, 106537, 139350?\n\"Answer: p**3 + 2176*p**2 + 4*p - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(sqrt(1296) - 1*sqrt(1296)))\/(sqrt(1152) + -4*sqrt(1152)*2 - (sqrt(1152)*1*1 - sqrt(1152))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -100?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 + -35. Let r = j - -119. What is the closest to 1 in -3, -6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, 0.07, -1 in increasing order.\nAnswer: -2, -1, 0.07, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3922320 and 296944?\nAnswer: 262795440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-85*s + 1256*s + 219*s)*(4*s - 4*s + s**3) in the form p*s + j*s**4 + n*s**3 + z + o*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 20315.\nAnswer: 893860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9321000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjat when four letters picked without replacement from ajtajjaajqaztjttatz.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*w**5 + 0*w**5 + w**2 + 11*w**5 wrt w.\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*p = 2*r - 222, 2*r + 2*p - 118 = 0. Suppose -51*q + r*q - 27678 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 7*n = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 31 = 6*b - 10*b, h = -5*b + 12 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6244\/3 - 2080. Factor -10\/3*h**2 - 2\/3*h + i - 4\/3*h**3.\nAnswer: -2*(h + 1)*(h + 2)*(2*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6218 (b) -1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(171)*3 - (sqrt(2299) + (2*sqrt(2299) - sqrt(2299)) - (-1 + sqrt(171))))**2.\nAnswer: 120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i. Let v = 20 - 12. Let q = i + v. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 + g. Calculate b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 + 40*f - 4 + 7*f.\nAnswer: 47*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 1. Let l(z) = -2*z + 20. Let g(i) = i - 7. Let k(w) = 14*g(w) + 5*l(w). Suppose 0 = 3*u + 1 - 10. What is u*c(v) + 2*k(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95025005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/89070 and 83\/120.\nAnswer: 356280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/175 and -1.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10187*h**2 + 3*h. Let i(c) = 56*c + 2. Give i(f(q)).\nAnswer: -570472*q**2 + 168*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (-1 - 28) + -859 + 951.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - -0.19. Let z = x + -0.04. Let q = 0.78 + z. Which is the nearest to q? (a) 1\/3 (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000427 to 5 decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.3. Let k = u + -0.5. Let z = 0.3 + -0.4. Is z less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4.2, -92, -3, -15, 1.\nAnswer: -92, -15, -3, 1, 4.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122 or -119?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 378 = -3*s. Suppose 0 = 4*o - 2*o - 36. Suppose 0 = 3*h - 2*p - o, -5*p = 3*h - 3 - 15. Calculate the remainder when s is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7128*u - 57033. Give s(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose z*v + 3*m - 4 = -6, 2*m - 7 = -3*v. Suppose 3*n = v*n - 174. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1539\/(-108)*(11 - 1479)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 97. Calculate n(13).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 1. Calculate the remainder when (7\/2)\/(2\/r) is divided by (-26)\/(-6) - 1\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 2}. Give prob of sequence hh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 190.6668 and -0.6.\nAnswer: -114.40008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.262809424 to 4 decimal places.\nAnswer: -11.2628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2684*t**4 + 7465*t**3 - 68938588?\nAnswer: -10736*t**3 + 22395*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 38, 88019.\nAnswer: -52, 38, 88019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(104) - -4*-3*sqrt(104)))\/(5*(sqrt(968)*1 - sqrt(968) - sqrt(968) - sqrt(968)) - sqrt(968)).\nAnswer: 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 438254 and 722.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2323321 (base 4) to base 3\nAnswer: 121111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1777 - -2052. What is the greatest common factor of 473 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12065)\/36575 + (-6)\/(-105)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:23 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90233263?\nAnswer: 17, 5307839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/143 and 47\/104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -470984 or -470983?\nAnswer: -470983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 34*c**4 + 24*c**2 - c - 101*c**5 - 46*c**3 + 187*c**5 - 3 - 95*c**5.\nAnswer: -(c - 1)**4*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6135587 is divided by 27889.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**2 - 23*m + 13. Let d(n) = -2*n. Let k(v) = 5*d(v) - p(v). Let f(i) = -2*i**2 - 3*i + 3. Let l = 60 - 34. Give l*f(u) + 6*k(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 934*z**3 + 5*z**2 + 5*z - 23. Let i be w(3). Suppose 12*t - 7*t - i = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*n**4 - 28*n**4 + 2*n**2 + 204*n - 302*n wrt n?\nAnswer: -240*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1838776018 + -0.3.\nAnswer: -1838776018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4577.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 + 1 - 2 - 8 - 10*y**4 wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxggx. Give prob of sequence xgxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 5. Solve u*m + 7 + 3 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5437 by 1.\nAnswer: 5437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847 = -8*h + 85*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 6, 4, 0, -6, -14, -24?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1053 (base 6) to base 15\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -292697*b**2*z**3 + 97*b**2*z + 8891*b*z**3 + 83*b*z**2 wrt b.\nAnswer: -585394*z**3 + 194*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -5 (c) 16 (d) -0.27 (e) -0.5 (f) -2 (g) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -85*s + 6. Calculate o(-1).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69c6 + -cad?\nAnswer: -7784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -41*w + 260. Let p(v) = -19*v + 129. What is 4*j(l) - 9*p(l)?\nAnswer: 7*l - 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2770?\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b = 16*b + 324. Let u(d) = d**3 + 9*d**2 - 3*d - 2. Calculate the remainder when u(-8) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/132 and 103\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429472 is divided by 6818.\nAnswer: 6756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -117*b. Let i(o) = 10904*o**2. Determine i(h(d)).\nAnswer: 149264856*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1115725343085 + 4.\nAnswer: 3.8884274656915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 2*t**4 + 2*t**2 + t - 8*t**4 - 2*t**2 + (7851 - 7851 + 142*t)*(-2*t**2 + t**3 + 2*t**2).\nAnswer: 136*t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + (-144)\/320. Which is the third smallest value? (a) g (b) 0.2 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/55 - 38393\/77. Let w be (-35)\/10*(-143 - -1). Let d = t + w. Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6359 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 130. What is the tens digit of 7\/q + (-348)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*o**3 - 248 wrt o.\nAnswer: -117*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 71 - 2*y + 74 + 6*y. What is d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 522 and 22149069.\nAnswer: 132894414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/127 and (-6)\/2*(-290)\/638.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 - 8 = 0. Suppose 0 = 3*a - 4 - 5. Is a equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*i, -3*i - 2*z + 32 = 3*z. Is 11 a factor of (i - -9)\/(2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1632091*a + 1633329*a + 117610 = 0 for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5107790515 by -5.\nAnswer: -1021558103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 + t**4 + 4*t**4 + (-3*t - t + 3*t)*(-t**3 + 2 - 2) to the form p*t**4 + q*t + c*t**2 + j*t**3 + d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.42 + -0.78. Let x = y - -1.94. Round x to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 7. Let t be 2\/y*2*5. Solve 3*w - 5 = t*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22749\/(-54)*2 + 0. Let a = 846 + s. Find the common denominator of -2\/9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:08 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1599, -6942, -16033, -28872?\n\"Answer: -1874*j**2 + 279*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.147 + -19.433. Let r = q - -13.31. Round r to one decimal place.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51889 or 466994\/9?\nAnswer: 466994\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(300) + sqrt(300) + 1)**2)*-4 - (2 + sqrt(300))**2*-4.\nAnswer: 280*sqrt(3) + 6020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 121845000 to the nearest 1000000.\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-689)\/(-78) - (8 + 1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*o - 725 = -203*o - 79 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-120)\/(-10))\/3 + (-116)\/30. Which is the third biggest value? (a) 1\/4 (b) z (c) -3 (d) -105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12*(-40)\/64)\/((-6)\/8). Solve 0 = -2*t + r, -13*t = -11*t + 4*r - p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8923966 and 3691250?\nAnswer: 5906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -186617, -373973, -561327, -748679, -936029?\n\"Answer: q**2 - 187359*q + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**4 + b**4 + 3*b**4 + (0*b + 2*b - 4*b)*(-17*b + 9*b**3 + 17*b) + (5*b**4 - 4*b**4 - 2*b**4)*(0 - 1 + 3).\nAnswer: -23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - 8*m + 8*m + (-33 + 62 + 19 + 20)*(-3*m**4 + 4*m**4 + m**4).\nAnswer: 135*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/5 - 6*n**2\/5 - 48*n\/5 + 32 = 0. Calculate n.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - 31 + 31 + (-1 - 2 + 0)*(2*v - 3*v + 4*v))*(8*v + 26 - 26).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l - 17. Let g be r(24). Suppose 0 = 3*z + g - 760. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31200 (base 4) to base 14\nAnswer: 45a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253351965 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l**2 - 839*l - 765. Calculate m(-83).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100109?\nAnswer: 3, 366703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0*o + 0*o)*(0*o**3 - o**3 + 6*o**3) + 8 - 2*o**4 - 26 + 0*o**4.\nAnswer: -22*o**4 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*59626\/(-140)*-4?\nAnswer: 2, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**3 + a**2*d**2 - 7*a*d**2 + 14 wrt a.\nAnswer: 66*a + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**3 - 11*h**2 - h - 23. Let f(x) = 4*x**3 - 11*x**2 - x - 24. Let q = -65 - -61. Let u(i) = q*f(i) + 3*d(i). What are the prime factors of u(11)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34030*n**2 + 17028*n**2 + 17010*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*c, v - 4*c - 16 + 1 = 0. Let n be ((-5)\/v)\/((-5)\/6) - -3. Let x be 4 + (-4)\/(20\/n). Solve x*d - 2*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 2047*w - 128589. Calculate l(70).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7050 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t - 73. Let p be u(15). What is the third derivative of -2*x**3 - 6*x + 0*x**2 + 0*x**2 - 5*x**p + 6*x**2 + 23*x**3 wrt x?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333317681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-24)*(-3 - (-29 - (-6896)\/264)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 131. Let m(i) = 65. Let w(k) = 2*g(k) + 5*m(k). Is w(-18) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 341388000 to the nearest one million.\nAnswer: 341000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12f0c (base 16) to base 13.\nAnswer: 29409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 v, 1 i, and 1 u when four letters picked without replacement from {v: 1, u: 1, b: 1, i: 1, h: 2, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 times 0.1?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 334 + -334.3. Let l = -9.9 - 2.1. Let x = -9 - l. Which is the closest to 0? (a) r (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add 39.5656 and -205444511.\nAnswer: -205444471.4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1679 = -f + 3440, f - a - 5131 = 0. List the prime factors of f.\nAnswer: 3, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)\/(a*a**(-14\/11)))\/((a*a**4*a*a)\/a*(a*a\/a**(-23\/5))\/a*a) assuming a is positive.\nAnswer: a**(-1301\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - v**2 + 2*v**3 + (-5*v**2 + 3 - 3)*(-5*v + 3*v + 0*v) - v**3 + 2*v**3 - 3*v**3 + 2*v**2 - 2*v**3 - 2*v**2.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 731712 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/227 or -1?\nAnswer: 1\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - p**2 + 4*p + 5. Give x(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:28 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 38*x**2 - 2*x - 72. Let j be k(-38). Factor -1\/3*m**5 - 1\/3*m - 1\/3*m**j + 2\/3*m**2 - 1\/3 + 2\/3*m**3.\nAnswer: -(m - 1)**2*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -400 + 405. Let h(n) be the third derivative of n**4\/24 + 3*n**3 + 13*n**2. Let x be h(-16). Put x, -1, 1, l in increasing order.\nAnswer: -1, 1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1594936032 + -0.4\nAnswer: -1594936032.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/5 - 6*f**2\/5 + 3176*f\/5 + 8448 = 0.\nAnswer: -32, -15, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.090694 - -33.812102.\nAnswer: 33.902796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**8\/840 - i**7\/25 + 23*i**6\/50 - 112*i**5\/75 - 32*i**4\/5 + 12*i**2 + 220. What is r in o(r) = 0?\nAnswer: -1, 0, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1040)\/(-50) + -24)\/((-4)\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34664 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**(1\/9))\/(n\/(n**(-1)*n)*n*n)*n**(-2\/5)\/(n\/n**(-4\/7)))\/((n**(2\/15)\/(n\/(n**(-1\/5)*n)))\/(n**(2\/7)\/n**(-4\/5))) assuming n is positive.\nAnswer: n**(-223\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 62\/(-120) + 0\/2. Let w = 13\/84 + -1\/210. Let p = w - f. What is the second biggest value in 3, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 13. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4883 by -19.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41076909922.81822056 - -41076908552. Let g = w + 1365.81822. Let s = g - -5. Round s to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36302520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - b**3 - 3)*(0 - 3*b**2 + 0) + 3 + 3*b**5 - b**5 - 2.\nAnswer: 5*b**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 16 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(4*(-19)\/95)\/((-2)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6966566 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426585.6 months to millennia.\nAnswer: 35.5488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16107*h + 16127*h - 32235*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {y: 2, a: 11, v: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7652, -17012, -26372, -35732, -45092, -54452?\nAnswer: -63812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 11) + 18 + 16 + -1 + -12\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1)\/((-21)\/(-35)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 326734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 p when four letters picked without replacement from {j: 3, h: 1, n: 2, p: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1038 + 3a8?\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -488 greater than -506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -60*d**2 - 117*d. Let x(u) = -31*u**2 - 59*u. Calculate 6*f(z) - 13*x(z).\nAnswer: 43*z**2 + 65*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0, 9, -5, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Let i = 9 + f. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57856 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 295 - 199 = -344. Let m(f) be the third derivative of g*f**2 - 1\/2*f**3 + 0*f + 0 - 1\/8*f**4. Determine m(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j - 4. Suppose -8 = 12*m - 10*m, 2*i + 8 = -5*m. What is z(i)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3158 divided by -36238.\nAnswer: -1579\/18119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 + 3*k**2 - 13*k + 9. Let g be y(1). Suppose 5*j - 2*s - 4319 - 1451 = 0, j + g*s = 1154. Does 74 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 200?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1680*g**3 + 115*g**2 - 2.\nAnswer: -10080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwq. What is prob of picking 1 q and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 2 k when four letters picked without replacement from {r: 6, g: 4, k: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 3120?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 6:10 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124856 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -3*s**5\/80 + 23*s**4\/48 - 5*s**3\/24 + 98*s**2 - 3*s. Find o, given that p(o) = 0.\nAnswer: 1\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39864.73kg in milligrams?\nAnswer: 39864730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u - 31. Let x be r(-5). Suppose 4*v = -x*v + 3*v. Solve v = -4*l - 2*y - 2*y + 28, -5*l + 17 = -y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/10 and -79\/672.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -68.8 * -11\nAnswer: 756.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77149 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.7 (b) -0.1 (c) 3 (d) -1 (e) -2\/11 (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:44 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 14*w**2 - 21. Determine o(14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/17)*w*w*w**1*((w*w\/(w\/(w**(2\/13)\/w)*w))\/w)\/w*w**(1\/2))\/((w\/((w\/(w**(2\/29)*w*w)*w*w)\/w*w)*w**6)\/(w**(-3\/7)*w*w**8*w)) assuming w is positive.\nAnswer: w**(473211\/89726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 1:11 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*b - 31*b = -2893344 - 487327. What are the prime factors of b?\nAnswer: 28409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 0, 3, 2 in decreasing order.\nAnswer: 86, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + 0 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 42, 95, 184, 321?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - 23*m**2 + 83*m + 862. Calculate a(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5 - -13) + -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/66*(-3 + (-6)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 4*w - 9. Give s(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.302966963 + -0.30294. What is z rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54646.\nAnswer: 2, 89, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 2972 and 1224945\/412 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-7)\/140*716)\/(-4 - (-95)\/25).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/87 and -7\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 + t - 1. Let o be l(1). Let j be 11\/((-693)\/133) + 2 - 16\/18. Let u be o\/(j + 4) - (5 - 4). Which is bigger: u or 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxiaiqaiqaaai. Give prob of sequence xaqq.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 31, -6, -1 in ascending order.\nAnswer: -21, -6, -1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6921 is divided by 760.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 64*y**2 + 62*y + 334. Calculate the smallest common multiple of 348 and k(-5).\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35307\/35 bigger than 1010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {y: 8, q: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1747, 1833, 2073, 2545, 3327, 4497, 6133?\n\"Answer: 13*p**3 - p**2 - 2*p + 1737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4262675.\nAnswer: 5, 167, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*g + 3*i + 1, 5*g - 2*i + 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1215 and 432945.\nAnswer: 1298835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.34*-0.3.\nAnswer: -0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23534.43 - -23534. Which is the nearest to 1\/7? (a) g (b) 3 (c) -0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from ljxllajjaxxjaalsalx?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -13567 and 6199.\nAnswer: -7368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/59810 and 51\/4.\nAnswer: 119620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.437 + -193.437. Let q = 196 + s. What is the closest to 1 in -14, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -20*30\/(-250)*5. Let o = -3 + -17. Let n be o\/g*(-3)\/4. What is the biggest value in 1\/4, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -123.1. Is f > 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 3*r - 1. Let j be f(-4). Let s = -1 - j. What is h in 5*h + h**3 - s*h + 9*h + 16 - 7*h**2 - 2*h = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + -1000?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155416*w + 156956*w - 312372*w - 2*w**3 + 5*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4714.13 to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (-7 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 16*v - 105. What are the prime factors of -1200*(-1 + (-19)\/v - -4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/39368 and 127\/130368.\nAnswer: 91648704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l. Let j be k(-1). Factor 1\/3*i - 1\/3*i**j - 1\/3*i**3 + 1\/3.\nAnswer: -(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220021 (base 3) in base 4?\nAnswer: 22033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfte. What is prob of sequence tfe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1805 and (4 + 14\/3*-1)\/(16\/(-77976))?\nAnswer: 16245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 0*o**2 + 0*o**3 + 4*o + 0 - 1\/4*o**4. Let n(r) = -2*r**2. Calculate p(n(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 744 and 41793.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0209 + -0.0209. Let h = 43 - 38. Which is the biggest value? (a) -2 (b) q (c) h (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10*d + 5*d - 29 = 0, -5 = d. Let n(m) = 14*m + 5. Calculate n(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + p + 15. Let w be -4*6\/(-8) + -3. Let u be v(w). Suppose u = 3*a - 1482. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18194, 18050, 17698, 17036, 15962, 14374, 12170, 9248?\nAnswer: 5506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (8 + (-1157)\/130)*1492\/84.\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.3248179 microseconds in days?\nAnswer: 0.00000000013107428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.19, 10, -2, -0.429?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -33030?\nAnswer: 33026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.11736m to millimeters.\nAnswer: 79117.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 555.85555?\nAnswer: -563.85555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 4*r**2 + 3*r. Let p be u(3). Let l(o) be the second derivative of 0*o**2 + 1\/6*o**4 + p*o**3 + 0 + 2*o. Let t(g) = 2*g**2. What is t(l(c))?\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 0)*-4*-5.\nAnswer: 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 615222 divided by 27?\nAnswer: 22786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 2*i - 4*i + 11 - i**2. Let z(h) = -h**3 - 3*h**2 + 4*h + 7. Let q be z(-4). Calculate the smallest common multiple of o(q) and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 0*a + 2 - 1 + 3*a**2. Let q be d(-1). Suppose 0 = -q*v - 4*n + 36, n = 4*v + 4*n - 48. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459024309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333408 is divided by 266681.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186020.\nAnswer: 2, 5, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*(sqrt(99) + -2*sqrt(99)))**2 + 1)*-4*-5 + 1.\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-10) + 0)*(-28)\/(-12)*(-4125)\/525.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, d: 4}. What is prob of picking 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.978 - 0.022. Sort v, -2, 12, 4 in descending order.\nAnswer: 12, 4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 7*t - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 6, -5, 2, -3, 350 in increasing order.\nAnswer: -5, -3, -0.3, 2, 6, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 418 + 206 = 0. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-45)\/(w\/((((w\/(w*w**(-2)))\/w)\/w)\/w))**(-9) assuming w is positive.\nAnswer: w**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10) + (-3 - (-8 + 5))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01764525 to 4 decimal places.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:01 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 17. Let j be 6\/(-4) + 2 - 1. Which is the second biggest value? (a) f (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-6)\/(-48))\/1)\/((-305)\/(-29890)))\/((-2)\/(-8))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 489885.4 millimeters?\nAnswer: 48988.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(-3)*4\/(-2)*(-2296)\/(-204344)?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.003 * 524.\nAnswer: -1.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 55*r**3\/3 - 2*r + 28. Let k(c) = -c. What is w(k(y))?\nAnswer: 55*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -740*c + 76*c + 803*c.\nAnswer: 139*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 5 (c) -0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102169 - 71093. Suppose 9*b - 85139 + c = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3838 + 4570. Calculate the remainder when t is divided by 250.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*o - 9 + 3 + 6 to the form p*o + x and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.2 - 10. Let j = u - -0.6. Let f be 9\/(-12) - (-2)\/8. Put f, j, 3 in decreasing order.\nAnswer: 3, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(2\/8). Let r be ((21\/9)\/(-7))\/(2\/(-12)). Let o(q) = -4*q**2 + 2*q**r + 17405*q**3 - 17407*q**3 + q. Calculate o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 408 (b) -235 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12bc2 (base 13) to base 15.\nAnswer: a567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1300)*-2 + sqrt(1300)) - (2 + sqrt(1300))*2)**2 - ((sqrt(104) - 1*sqrt(104))*-2)\/(sqrt(648)*1).\nAnswer: -320*sqrt(13) + 20816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 2\/9 (c) 45 (d) -792\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*a - 39. Suppose -817*p + 815*p = -130. What is the greatest common divisor of p and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*w - 22. Solve -3*j + 3*d - 12 = 0, 16 = 3*j + j + w*d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94.5 + -94. Let s = -0.4 - 0.1. Let a = 0.7 + s. What is the closest to 1 in k, -0.3, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/((-2)\/4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8838 and 7\/1253394.\nAnswer: 615416454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. What is the first derivative of -2*b - 1 + 2*b + b**3 + d*b wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 minus 0.810479277?\nAnswer: -238.810479277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 2)*(-2*q + 3 - 3) + 2*q - 4*q - 6*q)*(-5*q + 0*q + 2*q).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-4)\/(-5))*26\/65. Which is smaller: -3\/70 or z?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4960388?\nAnswer: 2, 1240097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443 or -451?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m**4\/m)*m))\/(m**(1\/3)*m))\/((m\/m**(-1\/4))\/(m\/(m\/(m\/(m**(-5)\/m)))))*((m*m**2)\/((m\/m**(-5))\/m))**(10\/9) assuming m is positive.\nAnswer: m**(115\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 885 and 1333249845.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -458*l - 7342. What is the tens digit of a(-149)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -46. Let t = n + 19. Let v = t + 19. Solve 0 = -8*p + v*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005437 to four dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1073, -14, -2\/17, 1, 0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let p(x) = -2014*x**2 - 66*x**2 - 667*x**2 - 446*x**2. What is p(c(z))?\nAnswer: -3193*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-1)\/(2\/2). Let z be (-5)\/10*4\/6. Which is the third smallest value? (a) 1 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*p + 14, 4*p + 32 = 6*p - 5*g. Let n = -12 + 23. Solve -4*d + p = -n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -9. Let k be (-19)\/57*3\/2. What is the third biggest value in d, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420689985 divided by -418597.\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20567*v - 3765 - 35059 = -943772 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-3 + 6) - -2. Suppose j*k + 5*k - 180 = 0. Suppose 3*i + k = 5*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1948 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = -140*x + o, 7885 = -x - 2*o + 7889 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 10. Suppose 3 = -2*t + f. Let s(g) = -g**2 + 2*g. Let x be s(2). Sort 7, t, x.\nAnswer: x, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okoiooiookokoikoioii. Give prob of picking 2 o and 1 k.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 43\/6479?\nAnswer: 43\/6479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 - 75*m**2 - 11*m + 99. What is r(25)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.005. Round o to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 + 22295*x**2 - 2062595*x + 48211425 = 0. Calculate x.\nAnswer: 47, 4365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*q = -18*q - 1280 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26 - 230\/9*h**2 - 466\/9*h + 2\/9*h**3.\nAnswer: 2*(h - 117)*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 10 = -116. Suppose k + 0*q = -q - f, 4*k = -3*q - 76. What is the nearest to k in 1\/6, -2\/15, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvvknvvnvknynvvnenn. What is prob of picking 1 y and 1 e?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25434*p**5 + 36349*p**2 wrt p?\nAnswer: -1526040*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 5*a - 26. Let v be n(6). Let p = -26 - v. Let f be 18\/(-54) - (-32)\/p. Solve 0 = 4*z - 2*h, -5*z = -0*z + f*h + 30 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 9765546?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -4*m**2 - 2647. Let w(h) = -h + 14*h - h. What is w(f(x))?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 104 = 227. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7448682*w**3 - 7978692*w**2 wrt w.\nAnswer: -44692092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/3*4\/(-2). Suppose 0 = 3*f + a - 106. What is the lowest common multiple of 2 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155970 divided by 1733\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77464526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 16*l**2 + 2*l - 30. Let u be r(16). Suppose -66 + u = 8*d. Is 5608\/d*(-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 14*v + 52. Let y(b) = -27*b - 104. Let o(t) = 4*y(t) + 7*z(t). Is o(-12) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.7 - 53.7. Let y = 1 + -2. Let u = r - y. Put 0.3, u, -5 in decreasing order.\nAnswer: 0.3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-414)\/480 + (-2)\/(-2). Let r = -1731\/80 + g. Find the common denominator of 3\/14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**3 + 2125*r**2 - 22920*r + 62100 = 0. What is r?\nAnswer: 5, 6, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**2 - 56*y - 31. What is the remainder when 204 is divided by f(-6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvkkvjkvksvpkkppkp. What is prob of picking 1 s, 1 v, and 1 k?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.2961 litres to millilitres.\nAnswer: 52296.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 41 = -6*a. Suppose 5*y - 7125 = a*o, 3*y + 4*o - 2824 = y. Calculate the greatest common divisor of 79 and y.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 18 = -2*x, 2*g + 10 = 5*g - 4*x. Let z be 25 - (2 - (-1 - -1)). Let u = g + z. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9988113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 73?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f - 183. Let d be y(16). Solve -d*n + 86 - 113 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1495625*h**5 + h**2 - h - 14208 wrt h?\nAnswer: 89737500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25.7871 and 5?\nAnswer: 20.7871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/5, -117, 5\/4, -1 in decreasing order.\nAnswer: 9, 5\/4, 1\/5, -1, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -153, -392, -719, -1134?\n\"Answer: -44*a**2 - 107*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 2*w + 2*w)*(-2*w + w - w) + 2*w**2 - 2*w**2 - 2*w**2 + (-w + 3*w - 4*w)*(-5*w - w - w).\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/(-266) - (5 - (-72)\/(-14)). Let j(k) be the first derivative of r*k + 27 + 3\/2*k**2. Let c(i) = -12*i. Calculate c(j(g)).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/54)\/((-2)\/(-642)). Solve -105*y + d*y - 10 = 0, -3*j - 7 = y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 3*d = -5, -2*c + 4*d - 19 = 7*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 1, s: 1, i: 1, g: 1}. Give prob of picking 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-25)\/15)\/((-5)\/18). Sort -3, x, -5 in descending order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -595 - 451051\nAnswer: -451646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/5*z + 2*z**2 - 174\/5.\nAnswer: 2*(z - 3)*(5*z + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10818.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)*a**(-7))\/((a*a**(-1\/3))\/a**(-14)) assuming a is positive.\nAnswer: a**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 - 1. Suppose 0 = -0*z - 4*z. Let s be (1 + z\/3)*-1. Let o be n(s). Solve -o*g + 5*k + 45 = -0*k, -g = 3*k + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2968 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/3 + 196*r**2\/3 + 380*r\/3 + 188\/3.\nAnswer: 4*(r + 1)**2*(r + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2458 - 2425. Solve 4*n = -5*p + 39, -3*p = -5*n - 4*p + l for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 23, -5 in ascending order.\nAnswer: -46, -5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.02, -115152?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -47.99587. Round u to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/3, 0.2, -16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 27 = -2*a. Let j be ((-90)\/50)\/((-1)\/(-5)). Let l = j - a. Solve l*m = 3*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u\/u**(-14)))*u**9)\/(u*u**(-1\/3))**(16\/11))**(2\/65) assuming u is positive.\nAnswer: u**(1454\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82? (a) 0 (b) 0.02 (c) 21 (d) -1\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/3 - (-142)\/2. Let j = t - 55. Differentiate 5 + 14 + 0 + 0 - j*p**4 wrt p.\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 1, b: 2, c: 1}. What is prob of picking 1 x, 1 b, and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 5, -3186, 3 in decreasing order.\nAnswer: 5, 3, 0, -4, -3186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -4, 3, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2755465 or -2755968?\nAnswer: -2755968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741483 is divided by 2401?\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7675 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 6, p: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4) + (-1253)\/(-14). Let t = 240 - d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2. Let o(s) = -1. Let f(t) = -3*t + 1. Let h(z) = -3*f(z) - 3*o(z). Give y(h(m)).\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -845 = 9*l - 2393. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7 = 27. Suppose 0 = 5*n + i*n + 409500. What is n rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.8176 + 35.8176. Let f = 2 + -3. Which is the closest to f? (a) 7 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-250)\/350)\/(2 + -7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/3*(-54)\/(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171151535017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/2)\/(1050\/(-140))*5)\/1.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -25, -4*f + f + 3*n + 11 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynnk when four letters picked without replacement from {k: 1, s: 3, t: 1, n: 5, u: 4, y: 1}.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 929*h**8\/28 - 59*h**4\/12 + 5*h**3\/6 + 16*h - 58. Find the third derivative of t(g) wrt g.\nAnswer: 222960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 91. Let y = v - -36. Let p = y - -15. Solve p = 2*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5436\/(-1510))\/(1 - (-134)\/(-130)). What is the highest common divisor of x and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/6)*(y\/(y*(y\/y**(-5))\/y))\/y assuming y is positive.\nAnswer: y**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40503 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10327\/20646 - 2\/10323. Which is the closest to d? (a) 0.11 (b) -9\/4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = 4*g - 7*s, 2*g + 2*s = 2. Factor -3*b**2 + 20*b**2 - 14*b**2 - 5*b**2 + g*b.\nAnswer: -2*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -12. Let m = 1 + 2. Let t = -0.6 - -0.6. Which is the closest to t? (a) 0.3 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v**3 - 70*v**2 + 3*v - 82. Give b(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m + 3. Let d be j(3). Let f = -13 - d. Find g, given that 25*g**5 - f*g**3 + 17*g**5 + g**3 + 2*g**4 = 0.\nAnswer: -1\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.4 + 0.6. Let z = 24.00177 - x. What is z rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let p be 2\/f - 10\/14. What is the nearest to 3 in 0.5, p, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + 1*sqrt(65))*4 - sqrt(65))\/(sqrt(180)\/sqrt(4)).\nAnswer: 7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, -4, 37, 2, 5 in ascending order.\nAnswer: -213, -4, 2, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -0*f + f - 2*b, 3*b - 519 = -4*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11481 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -689848*x**4 - 106188*x**2?\nAnswer: -16556352*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39328 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - 11*w**3 - 7*w**3 + 15*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -81*r + 82*r. Let y(p) = 16 + r*p - 22*p + 9 - 8. Let c(j) = 4*j - 6. Give 8*c(n) + 3*y(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21701a940 + 5?\nAnswer: -21701a936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -433\/3*h**3 + 46655\/3*h**2 + 1\/3*h**4 + 47089\/3*h + 0.\nAnswer: h*(h - 217)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 1\/40*i**5 + 0*i + 1\/16*i**4 + 0 + 19*i**2 - 1\/4*i**3 - 1\/80*i**6. Factor l(c).\nAnswer: -3*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18265 (base 13) to base 5.\nAnswer: 2442213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2533 = 4*c - 6990, -n = -5*c + 9527. Let t = n + 408782\/43. Calculate the common denominator of -11\/7 and t.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 75 = -2*q. Let j(a) = -4*a**2 + 151*a - 650. Let x be j(5). Solve 5*n = 15, 3*r - q = 5*r - x*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(0 + 4\/(5 - 9)). Let x be (2120\/4 - -1)\/l. Calculate the highest common factor of 118 and x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 91 = -8*a - 7, 5*a - 5*v - 15 = 0. Factor 7\/2*i**2 + 0 + a*i.\nAnswer: i*(7*i + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(12\/(-48))*(-5)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 574a12 + -5?\nAnswer: 574a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50134 - -2126771. Let h = k + -2176926.0000225. Let w = h + 21. What is w rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o + 15. Let m be j(-4). Let s(h) be the third derivative of -h**5\/60 - h**4\/6 - 2*h**3\/3 + 2*h**2. Calculate s(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0 (b) 2\/3 (c) 0.86 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 0.6, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63454 is divided by 221?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3143 and -205.51.\nAnswer: -205.1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:38 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 3*s**2 + s**2)*(-4*s**2 + s**2 - 3*s**2).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17040 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q - 5. Let u = 24 - 32. Let y be ((-3)\/2)\/(6\/u). Let h be t(y). Solve 0 = h*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5784.3 to the nearest one hundred.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108845823*s**2 + 214153*s - 460 wrt s?\nAnswer: -217691646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.4 minus 0.4?\nAnswer: -194.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 12*w - 6. Let s(k) = -3*k**2 + 13*k + 7. Calculate -4*s(z) - 5*x(z).\nAnswer: 2*z**2 + 8*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 15*l**2 - 4*l + 7. Let u be i(3). Suppose 0 = -5*x + 5*r + 195, -2*x = -460*r + 463*r - 78. Calculate the highest common divisor of u and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4065*i + 902. What are the prime factors of r(4)?\nAnswer: 2, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.0213 and 0.09?\nAnswer: -0.271917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/u**(-1\/3))\/u*u))**50)**(-3\/4)\/((u**(-2\/5))**(-17)*u*u**(1\/4)*u\/u**(-2\/9)) assuming u is positive.\nAnswer: u**(581\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**3 + 3*a**2 + 5*a + 5. Let u be y(-2). Suppose -43*r + u*r = -12. Which is bigger: -11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -3120313?\nAnswer: -3120341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 12. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437249790 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/1 - (-13)\/(-99).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8218.801 millimeters in nanometers?\nAnswer: 8218801000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 13 = d. Suppose 9*t - 140 = d*t. Suppose 4*p - 4*z = t, -3*z = -p - 4*p + 41. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(3\/(-5)) - 6\/(-3). Suppose 8 = -a - x*a. Put 2, 20, a, 1 in increasing order.\nAnswer: a, 1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173.48 + -325.52. What is the third biggest value in 0.2, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12542 and 40.\nAnswer: 250840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -12. Let c be (-1)\/(-2) - (-3)\/q. Suppose 0 = 4*d - 2*o - 16, 4 + c = -d + 3*o. Solve 3*u = 4*f - 12, 4*u + d*f + 16 = f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*n - 8. Let i(v) = -v**2 + 5*v - 2. Calculate the lowest common multiple of i(n) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 320\/(-120)*6\/(-4). Suppose 2176 = k*t - 1688. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777744547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36314 and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*x + 9 = 0, -l - x = -3*x - 2. Solve 0 = n + l*u + 25, 2*n - 7 - 3 = 4*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(204) + 5*sqrt(204)*1))\/((-3*sqrt(4860) - sqrt(4860))\/sqrt(5)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 80*l**2 + 1457*l + 1378 = 0 for l.\nAnswer: -53, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-30)*2\/(-5). Let i = -26\/75 + f. What is the closest to 0.1 in 0, i, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, y: 4, l: 2, q: 1, c: 2}. What is prob of sequence llyo?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-1*84)*119*-1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 5*t + 6. Let c(o) = -o**2 + 9*o - 11. What is -5*a(i) - 3*c(i)?\nAnswer: -2*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -113 (b) -0.332 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)\/c)\/((c*c**(-1\/2)*c*c)\/c*c)*c**(-1\/2)\/(c**(2\/5)*c))\/((c**(1\/3)*c)**(21\/5)*(c\/c**(1\/2))**(-2\/31)) assuming c is positive.\nAnswer: c**(-588\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 86*g**2 + g - 1535. Let s(z) = 171*z**2 + z - 3069. Let x(t) = -9*a(t) + 5*s(t). What is the first derivative of x(b) wrt b?\nAnswer: 162*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23*6 - (-2 + 0). Let c = h - 42. Suppose 3 - c = -5*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - f + 2*f = 53, 0 = 2*f - 6. Let v(c) = -c**2 - 10*c + 3. Let a be v(b). Suppose 0 = 50*l - 56*l. Solve -s + 5*g - 3 = 0, -a + l = -s - g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2400285, 5 in increasing order.\nAnswer: -2400285, -24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2403 = 2402, 2*z + 3*w = 4*w - 28 + 79 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**5\/10 - f**2\/2 + 13*f + 1. Let d = 23 + -19. Let b be (-180)\/156 + d\/26. Calculate u(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1577 - 927. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 626623 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 58, 443, 1080, 1963, 3086, 4443?\n\"Answer: -o**3 + 132*o**2 - 4*o - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 2*v + 2. Let d be n(2). Suppose k = -k + 72. Let u = k + d. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose p = -7*l + 3*l. Which is smaller: l or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*q = -83*q + 3*w + 1, 2*w + 8 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*k + 8. Let p(s) = 2*s**3 + 4*s**2 + 2*s + 4. Let f(o) = o**2 + o + 1. Calculate k*f(a) + p(a).\nAnswer: 2*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1981 divide 1342947161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k + 28. Let b(o) = -o**3 + 9*o**2 - o - 7. Let d be b(k). Let g = 9624 + -9612. Calculate the highest common factor of g and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*n - 4, -i = 3*n - 6*i - 26. Let c be 100\/2 + (9\/3)\/1. Let t = 54 - c. Are t and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160.9 times 21.2841\nAnswer: 3424.61169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -38, 0.05, 0, 4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**7\/140 + y**5\/60 - y**3\/6 + y. Let t(c) be the second derivative of x(c). Find the second derivative of t(a) wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122160229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + q**2 - 4 + 4 + 2*q**2 + (q + 5*q - 4*q)*(1 + 3*q - 1) to x*q + p*q**2 + h and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-143)\/(-33) + -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1758160, 1758166, 1758172, 1758178, 1758184?\n\"Answer: 6*m + 1758154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -6 + -13 + 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59138058 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**4\/12 + 2*p**3\/3 + 3*p**2 + 4*p. Let m(l) be the first derivative of i(l). What is m(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55711, -111486, -167369, -223414, -279675?\n\"Answer: -9*m**3 - 55712*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*8\/336*7\/10.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13 + 15 = 0. Suppose 343 = y*r + 103. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}