diff --git "a/data/dm_maths/full_data_1/1442_11255.jsonl" "b/data/dm_maths/full_data_1/1442_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1442_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v(s) = 17*s**2 - 6*s - 1. Let r(f) = -3*f**2 - 9*f - 5. Let x(w) = -w**2 + 2*w + 1. Let b(c) = r(c) + 6*x(c). What is -5*b(o) - 3*v(o)?\nAnswer: -6*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 3. Suppose 0 = -4*q - 4*m - 32, 13*m + 4 = 4*q + 8*m. Give p(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10 - 4 + 8*p - 7*p + 2*p. What are the prime factors of v(8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807786743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -3, 6, -73 in increasing order.\nAnswer: -73, -8, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, 342, 1052, 1780, 2532, 3314, 4132?\nAnswer: 4992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -0*v - 4*p + 20, -v - 5*p + 22 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g**2 + 18*g + 7. Let c be s(-7). Let v be (-4 - c\/175)\/((-6)\/3217465). Let q = v + 21447. Find the common denominator of -31\/6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*f - 21, 2*b - 7*b - 28 = -4*f. Suppose -z = f - 9. Differentiate -5*d + 7*d**z - 39 + 74 - 55 with respect to d.\nAnswer: 14*d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59.0266*4.97.\nAnswer: 293.362202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3503*r**2 - 100*r**2 + 162 - 163 - 1 + 1 + 2*r**2 + (1 - 3 + 4)*(0*r**2 + r**2 + 0*r**2) as k*r + o + h*r**2 and give h.\nAnswer: 3407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**4\/12 - t**3 - 4*t**2 + 11*t. Determine z(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0*f**2 + 0*f**4 + 1\/6*f**7 + 0*f**6 + 0*f**5 + 20\/3*f**3 + 0 - 3*f. Find the second derivative of t(w) wrt w.\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2971 times 2.22346\nAnswer: 6605.89966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 9*j - 59. What is the second derivative of -11*x + j*x - 30*x**4 - 11*x wrt x?\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-8))\/(21\/(-56)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*f**5\/13 + 308*f**4\/13 + 2586*f**3\/13 - 5412*f**2\/13 - 160*f = 0. What is f?\nAnswer: -40, -13, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -13. Let d = h + -7. Which is the closest to d? (a) -0.1 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Let v be 4\/r*9\/3. Solve v*g - 5*q + 5 = 0, -g + 2*q - q = 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89803*c**2*o**3 - 4*c**2*o**2 - c*o**3 - 11*c*o**2 - 3*o**3 + 5025*o**2 + 2*o wrt o.\nAnswer: 538818*c**2 - 6*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21056.3 - -21056. What is the third biggest value in w, 71, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 78. Let h be (3\/(-1))\/((-33)\/(-803)). Let d = a + h. Is 3\/7 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*r = 220*r - 416. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148583, -594423, -1337489, -2377781?\nAnswer: -3715299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 12*p - 6176. Let i be (-2)\/12 + (-28381)\/(-6) + -14. Let n = i + p. Round n to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y + 0 + 0*y**3 + 0*y**2 + 1\/12*y**4. Let o(f) = -f**2 + 6*f. Let g(n) = n. Let a(m) = -6*g(m) + o(m). Calculate k(a(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**3 - 5*c**2 - 27*c - 43. Determine z(-2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1411.8?\nAnswer: -1411.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 213301194 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0314 to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3672412 to the nearest integer?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**4 - 21*b**4 + 23*b**4 + 10*b + (-1 + 0 + 0)*(-b**4 + 0*b**4 + 0*b**4) + 0*b + 0*b + 2*b**4.\nAnswer: 14*b**4 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -5\/6, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 10914107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*q - 3, -4*c + 54 = 5*q + 17. Suppose a + 3*a = c. What are the prime factors of 10\/4*1*a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2619015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/5 (b) 8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from rhryryychyyryoy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 4*f**2 - 5*f + 4. Let u be n(5). Suppose 3*a = 2*j - 5*j + 6, 0 = -u*a - 2*j + 10. Solve -2*l - a = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmfmcfmsfsmmxfmcsf. Give prob of picking 1 x, 1 c, and 1 m.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88\/(-6)*24\/(-16)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((105\/10)\/7)\/((-3)\/1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2045 + -243?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 964 divide 8601772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(-2\/7))\/t*t)\/t)\/t**7*t**(-2)\/t*t**5*((t**(2\/9))**49)**(-6\/23) assuming t is positive.\nAnswer: t**(-3442\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6873 is divided by 3432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 + -173. Solve -2*v + g*v = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5891 by 43.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -553, -1106, -1659, -2212?\n\"Answer: -553*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 33, 5, -23, -51, -79?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6774 - 6730.83. Let c = z + -43. Let v = c - 0.164. Round v to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 25 + -26 + -4 + 0 + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 14. Suppose 5*l = 5*k - 40, 6*l - 16 = -2*k + 2*l. Suppose 0 = j + p - 2, 4*j - 5*p = k. What is the closest to c in 0.4, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -868 (b) 2\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000194386493 to 7 decimal places.\nAnswer: -0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -333033321 (base 4) in base 13?\nAnswer: -90bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*h + 10*h - 5*h + 1488 = 6*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1333.0755 + 68.\nAnswer: -1265.0755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97418055?\nAnswer: 3, 5, 7, 927791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 7*f**4\/24 + 19*f**3\/6 - 13*f**2. Let z be y(15). Suppose 52 = 4*o - z. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 23*o**3\/3 + 12*o + 27. Let f(h) = 4*h**2. Determine f(x(n)).\nAnswer: 8464*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ommo. What is prob of picking 1 o and 2 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 9*b + 4. Let k be m(-7). Let y be (-26)\/(-90) - k\/(-25). What is the nearest to 1 in 5, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**3 + 28*l**2 + 17*l - 4. Let b(n) = 4*n**3 + 14*n**2 + 8*n - 2. Let k(u) = -7*b(u) + 3*q(u). List the prime factors of k(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1214592 and -109\/528.\nAnswer: 13360512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202 + 18*l - 202)*((-2*l**2 + 0*l + 0*l)*(2 + 1 - 4) + 0*l**2 - 2*l**2 + 3*l**2).\nAnswer: 54*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157506 is divided by 78753.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d*j**3 + 22*d*j**2 + 85*d*j + 473*j**4 - 4518*j**3 - 6*j**2 + 42*j - 2 wrt j?\nAnswer: -18*d + 11352*j - 27108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/63 - 351\/504?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -12 + 22 + -19\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 55. Let o be 6\/(-10) + (-84)\/p. Which is the nearest to -0.2? (a) 0.4 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 - -32.1. Let u = j - 30. Let a be 52\/30 - (-2)\/(-5). What is the biggest value in u, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*x**2 + 0*x + 0*x + 247356 - 247356.\nAnswer: -112*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 13 = -20. What is the greatest common factor of 957 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1600)*1 - (sqrt(144)*1 - sqrt(144) - sqrt(144)))\/(sqrt(512)*1*2).\nAnswer: -2 + 13*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41405*x**2 - 149840*x.\nAnswer: 82810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275233526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9519 * 0.3.\nAnswer: -2855.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-79 + 54 + 1 + -2 + 3)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026906523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1247222 + 10?\nAnswer: 1247232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4225*i**3 - 12415*i**2 - 776*i - 12.\nAnswer: (i - 3)*(65*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6931 + 81058 = 964*f + 17617 for f.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*n**2 + 55*n**2 + 69*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(147) + sqrt(3) + 5.\nAnswer: -41*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214121 (base 5) to base 9.\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*f**3 + 611*f**2.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131652051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - j - 3. Let w be (0 + 2\/(-3))*12. Let u be (w - -8)\/((-2)\/(-2)). Calculate l(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 36 - 15 = -5*t, 4*t = -3*c - 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10839 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 9*f**2 - f**2 + (-2*f**2 + 4*f**2 - 16*f**2)*(3 - 2 + 0) as m + h*f**2 + z*f and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/3))\/(m**(-7\/4)*m))\/(m**(-1)\/m)**22*(m*m**(2\/19))\/m**(-4)*(m*m*m**(-1\/5)*m)\/(m\/((m\/m**2)\/m)) assuming m is positive.\nAnswer: m**(56987\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - -0.82. Let t = -5.12 + l. Sort -4, t, -0.5 in descending order.\nAnswer: -0.5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -268.25.\nAnswer: 804.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - h**3 + 0*h**3 + h**4 + 3*h**5 + (140 - 51 - 30)*(6*h**5 + 22 - 22).\nAnswer: 358*h**5 + h**4 - h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 123*m + 3571. Let g be u(-29). Solve 2*x - 3*r - 11 = 12, 4*r + 4 = -g*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*w + 10. Solve 0 = -2*g - w - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/7)\/(4 + 160\/(-42)). Let o(w) be the first derivative of -2 - g*w**2 + 0*w. Give o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 7653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/21 - 2*m**4\/7 + 1130*m**3\/21 + 6638*m**2\/21 + 1080*m\/7 - 11000\/21 = 0. What is m?\nAnswer: -22, -5, -2, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99906*d**3 + 121126 wrt d.\nAnswer: 299718*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -558\/9623?\nAnswer: -558\/9623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4888857, 4888875, 4888907, 4888959, 4889037, 4889147, 4889295?\n\"Answer: l**3 + l**2 + 8*l + 4888847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 733918.2529 + -733884. Let f = k - -0.0471. Round f to 0 dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -n + 2*o, -2*n - o = -5*n - 64. Let j be 1\/1 + n\/(-10). Let s(m) = 11*m + 5. What is the tens digit of s(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 159*f + 1609. Let a be z(-10). Let b(w) = -w**3 - 20*w**2 - 21*w - 24. Let o be b(-19). Solve -20 = -a*r + o*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 32*n - 164. Let q be h(24). What is the greatest common factor of 44 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 20*p + 254. What is h(-9)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-2)\/(10\/(-3)). Let x = 1 + -2. Let f be (x\/(-1))\/(2 + -3). Is g at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99) + (-5*sqrt(99) - sqrt(99))) - sqrt(99))\/((sqrt(729) - (sqrt(729)*3 + sqrt(729) + sqrt(729))) + sqrt(729)).\nAnswer: 2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 5:01 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**3 - 20*a**2 + 26*a - 13. Is c(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 2*i + 6, -d + 19 = -23*i + 19*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*n = -2, d - 5*n - 15 = -13. Factor -2*s**d + 228*s - 2708 - 1900 - 36*s.\nAnswer: -2*(s - 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4925*p**2*t - 2*p + 2*t + 69 wrt p?\nAnswer: -9850*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284 + 300 - 29*n + 309 - 893.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114597 and 125511?\nAnswer: 2635731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249342 and 7946?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*o + 515*o - 1026*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -4 + sqrt(15)\/sqrt(3))*-4 + 4*(sqrt(5) + (sqrt(5) - sqrt(125)) + 1) + 1 + 4.\nAnswer: -20*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14881\/32 + -465. Let n = 49\/480 + z. Which is the second biggest value? (a) 1\/15 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u + 3. Let x be 1 + -4*(-4)\/(-8). Let p be l(x). Let t = 8 - p. 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 -132407396 divided by 5?\nAnswer: -132407396\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/12)\/p*p)\/(p\/((p*p**2)\/p)) assuming p is positive.\nAnswer: p**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70*g*m**2 + 2*g*m + 28634148*g + 136*m**2 - 52*m wrt m?\nAnswer: -140*g*m + 2*g + 272*m - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x + 8*x - 4*x - 3*x. Let g(c) be the third derivative of -5\/6*c**3 + 44*c**2 + 0 + 1\/40*c**5 + x*c + 13\/48*c**4. Factor g(s).\nAnswer: (s + 5)*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 8:36 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 184, 3, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 5. Let r be q(-5). Let d(n) = n - 4. Let u be d(6). Suppose -2*t = -u*s - 0*s + 112, 3*s - r*t - 160 = 0. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4\/7 + 464*h**3\/7 - 1416*h**2\/7 + 1424*h\/7 - 68 = 0.\nAnswer: -119, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o - 26*o**2 + 0*o**4 - 1\/6*o**3 + 0 + 31\/60*o**5. Find the first derivative of z(y) wrt y.\nAnswer: 62*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5 + -3. Let t = -330 + 327. Let y be t\/(-27) - (-6 + 456\/54). What is the second smallest value in y, 1\/9, q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 + 0 - -1) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10283835 = 4*d + 16536335 + 21407830. Round d to the nearest one hundred thousand.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1030242 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let m = -1 - -4. Let g(z) = -m*z + 5*z - 2*z - 3*z. Calculate p(g(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 683*f**3\/5 + 1914*f**2 - 10133*f\/5 - 24.\nAnswer: (f - 1)*(f + 15)*(683*f + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 39*n + 200. Determine s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -644 - -644. Let l be ((-18)\/45)\/(2\/(-20)). Which is the biggest value? (a) n (b) l (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2))\/((-10)\/20). What is the remainder when 146*(-2)\/(-4) - (11 + -17) is divided by 25 + 0 + -1 + q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.205 - 82.205. Let w = -37 - z. Let r = -45.00000194 + w. What is r rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1606355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 28 + (3 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:23 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 - 243469\/(-5236). Let p = u + -1627\/34. Let r = -9\/11 - p. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63900 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202888 = -37*k + 67*k - 392162. What is the thousands digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11203021232 - 11?\nAnswer: -11203021303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 55*k - 489. Give b(-50).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-26)*((-2)\/9)\/((-28)\/126)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 23*n**2 - 121 - 68*n**2 + 243 + 34*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46925, -46922, -46921, -46922, -46925, -46930?\nAnswer: -46937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzi when three letters picked without replacement from {i: 1, u: 2, z: 4, s: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2, 4*f - 4*s + 2 = -f. Let l be -1 + 2 + (-6)\/3. Is l equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -126647*t**2 + 290*t + 20*t + 126622*t**2 - 120 = 0.\nAnswer: 2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/14 - 8\/7)\/((-3)\/(-1)). Which is the nearest to q? (a) 0.027 (b) 1\/4 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200000 - -221?\nAnswer: -1122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Suppose -4*q**2 + 3 + z + 5*q**2 - 10*q + 5*q**2 = 0. Calculate q.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, x: 3, u: 4}. Give prob of picking 3 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*s - 128*g + 133*g = -524, -g - 12 + 28 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.144 (b) 0.3 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-105)*(3121421\/76136 + -41).\nAnswer: 2\/307","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from ldlld.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3\/8 - 173*s**2\/8 - 22*s + 87\/2 = 0.\nAnswer: -2, 1, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k. Let y(b) = -8*b**2 - 6521*b**3 - 6566*b**3 - 8*b + 13083*b**3. Calculate -24*d(r) + 3*y(r).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -962*x**3 - 5*x**2 + 371.\nAnswer: -5772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and -0.01.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 12*a**2 - a + 180. Give r(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12991453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 663892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 46, 72?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 11*m = 28. Which is greater: -16 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = -8. Let x = g + -2. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1805362542 + 1805362542 - 21*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*c + 62, -3*k = -0*c + 4*c - 166. Suppose -k = 3*d - 4*d. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2) + -4)*-5.\nAnswer: -5*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 3, e: 7, p: 2, b: 5, q: 1}. Give prob of picking 1 d and 1 b.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 113. Let v = -146\/3 + n. Sort 0.1, -4, v, 0 in ascending order.\nAnswer: -4, 0, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 4*u**2 + 4*u**2 + (3*u + 0*u + 3*u)*(1 + 4 - 6)*(28*u - u + 13*u) in the form w + d*u + g*u**2 and give g.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-136))\/((-36)\/48))\/((-9)\/(-108))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, -676, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1\/2, 1, -2.2 in descending order.\nAnswer: 17, 1, -1\/2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 137298, -5 in decreasing order.\nAnswer: 137298, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 5*v + 4. Let c be x(-4). Let i = c - -6. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**8\/35280 - 4*r**7\/2205 + 16*r**6\/315 - 7*r**5\/60 + 3*r**2. Let b(n) be the third derivative of w(n). Factor b(k).\nAnswer: 4*(k - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 + -11001010101101?\nAnswer: -11001011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 888214763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) -0.5 (c) 1140 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o - 4. Let y be q(3). Suppose -n = -y - 49. Suppose 10 = -5*c - 0, 4*c + n = b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) + 13\/5. Suppose -u*z + 8 = 2. Let b = 0 - -2. Calculate the least common multiple of z and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 1:44 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.056 rounded to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0444 * 0.4\nAnswer: -0.01776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r = 4*r. Let h = 100 + -696\/7. Find u such that 16\/7*u + h*u**2 + r = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (-1 + 55 + -31 - 31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 + 2*n**4 + 3*n**2 + 2 - 2*n + 1 - 6 to p*n + a*n**3 + c + j*n**2 + m*n**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2 + 5 - 15*i - 2. Let v = -6 + 5. What is the tens digit of y(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.7 * 2.1.\nAnswer: -7.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(117) + 0.\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15036977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 1)*-2 + sqrt(396))**2 + (4*sqrt(220))\/sqrt(5).\nAnswer: 32*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 4*p**2 + 14*p + 7. Let x be h(-6). Let l be (-7)\/(12 + x)*(-9)\/(-1). Let q = 15 + l. What is the highest common factor of q and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*r - 69. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 133\/95 + 40299986\/10. What is p rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -38\/348465 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69593?\nAnswer: 69593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11*s**2 + 10*s + 178. Is w(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(4\/(-6) - 0). Let z = -1 - k. Let v(a) = -4*a - 1. What is the tens digit of v(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 5*n - 10. Let g be t(-4). Let k be (g\/2424)\/(10\/8). Let q = -987\/11615 + k. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53278 divided by 26639.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 26*y**2 + 132*y + 18. Calculate k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j - 41. Let m(q) = 4*q - 19. Determine 9*m(z) - 4*n(z).\nAnswer: -8*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d + 4. Let g(n) = n - 18. Let h be g(22). Let p(t) = 12*t - 3. Let l(k) = h*a(k) + 5*p(k). What is l(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z + 61. What is z rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f + f + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -430 - -5?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -190*a*p**3 + 2*a*p + 375*a + 33*p**3 + 58 wrt p.\nAnswer: -570*a*p**2 + 2*a + 99*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115 or 1.6?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3470.\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1145*p - 82. Determine g(-2).\nAnswer: -2372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1134)\/(-84))\/((-8)\/(-16)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 213?\nAnswer: 63.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w + 2*w. Calculate the remainder when ((-3)\/w)\/((-9)\/(-84)) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/5)*f**(7\/4) assuming f is positive.\nAnswer: f**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*f**4 + 10872979*f**3 - 44*f**2 + 832272*f?\nAnswer: -768*f + 65237874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9157606, 18315214, 27472822, 36630430?\n\"Answer: 9157608*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*u - 4, 3*u - 5*o = 26*o - 32*o - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 131, 218, 321, 446, 599, 786, 1013?\n\"Answer: h**3 + 2*h**2 + 74*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*y = -48806, 5*g + 5*y + 1391 = 62421. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5247038, 5247049, 5247082, 5247149, 5247262, 5247433, 5247674, 5247997?\nAnswer: 5248414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38740046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 609.564261 to one dp.\nAnswer: 609.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 21 = -i. Let r = i - -40. What is the third derivative of -r*d + 11*d + 4*d**2 - 9*d**3 wrt d?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 + 49262*f - 197048. What is o(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253*s**2 - 108 + 113 - 892*s**5 - 1924*s**5 wrt s?\nAnswer: -168960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -36, -25, 2, 51, 128, 239?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16) - 21\/(-12). Which is smaller: -0.6 or n?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 604 + 608. Let t be 266\/130 + a*(-4)\/26. Let j(u) = u**2 - 5*u - 4. Let v be j(6). Is v less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50932821.\nAnswer: 3, 277, 61291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -26. Sort -4, -1, m in descending order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*5*(-1)\/(-55)*12\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, q: 4, j: 2}. What is prob of sequence aaq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.4 - -3.34. Let h = s + -30.8. Let v = -0.06 - h. Which is the closest to 0? (a) 0 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 38*w**2 - 22*w - 4. What is f(20)?\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1317051)\/(-43182))\/(1\/1*(-5)\/10)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45979, -46091, -46201, -46309?\nAnswer: -46415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(-2)*(2 - 11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11210331 (base 4) to base 12\nAnswer: 11279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58b - 12?\nAnswer: -59d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 11:27 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 51.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 3:00 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 - (-104)\/(-14)) - (22 - 26)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3313.061 milliseconds to seconds.\nAnswer: 3.313061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(117))**2)*-5*5.\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 779*f + 84 = 791*f. Solve -5*k - 11*r = -f*r - 4, 0 = -3*k + r + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**4 + 49*b**3*n + 9533*n - 2 wrt b?\nAnswer: 24*b**3 + 147*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d = 24. Suppose -c = -3*a - 13, -4*a + 2*c + 12 - 30 = 0. Put 1, d, a in ascending order.\nAnswer: d, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from rhssajn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 738492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5642 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -827.141 * -4.\nAnswer: 3308.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-30))\/(26\/20)*2\/(-5).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(-2 + sqrt(468) + -2 + sqrt(468)))*1.\nAnswer: -15 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) + sqrt(2)*-2) + (sqrt(153)\/sqrt(3))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 50*r - 20*r - 16*r)*(4 - 4 - r**2)*(3*r - r + r) to p*r**4 + q*r**2 + i + c*r + h*r**3 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**(-2\/7)*x*x)))\/x*x*x\/(x*x**3)*x\/(x\/(x*x**(-7)))*x**(-3\/2))\/((x\/(x\/(x\/x**(-1))))**(1\/58)*(x**(1\/10)\/x)\/x*x**(-2\/5)\/x) assuming x is positive.\nAnswer: x**(-5603\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2572902 and 0.178?\nAnswer: 2572902.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4161 is divided by 181.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 1787334?\nAnswer: 1787335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/456*30\/(-9)*2112\/(-7040).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4) + -1 + (-5 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 10) to base 5\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -16\/3 - 8\/3*u - 1\/3*u**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n + 8. Let g be (3 + (-52)\/16)*n. Which is the smallest value? (a) -3 (b) g (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**2)\/c)**(6\/11))**5 assuming c is positive.\nAnswer: c**(-60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.5 - -10.59. Which is the third biggest value? (a) u (b) -1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -35. Let t(u) = -8*u - 70. Let c(r) = -10*r - 71. Let x(m) = j*t(m) - 2*c(m). Let i be x(-17). Solve i = 2*l + 4, 3*l = 3*a + 6*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1887 - -173. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 2*a**4 - 4*a**4 + (2*a**3 + 1 - 1)*(0*a + 4*a - 3*a) + 3*a**4 + 0*a**3 + 0*a**3.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 12485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2328 = 63. Suppose 15913 = 22*k + f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/105 + -2 + (-6)\/(-30).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*p - 0*p. Let w(t) = p - 3*t + t + 0*t. Give w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 502*n + 186*n + 1525, -3*n - 1 - 1 - 1 = -6*n + 12 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1 - 979*n + 6*n**2 + 8 + 979*n. Let r(s) = 5*s**2 + 6. Determine -6*b(q) + 7*r(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 216, 331, 500, 729?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.2. Let h = -22.08 - -21.98. Let o = -53 + 264\/5. Sort k, h, o in decreasing order.\nAnswer: k, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12\/180 - (-804144)\/90 - 5*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-6.1.\nAnswer: 1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 21214542?\nAnswer: -21214541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5193, 5050, 4813, 4482, 4057, 3538, 2925?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 6. Let h be d(3). Let z(m) be the second derivative of 1\/10*m**5 - 2\/9*m**4 - 1\/63*m**7 + 0*m**2 + 2\/45*m**6 - 4\/9*m**h + 4*m + 0. Factor z(q).\nAnswer: -2*q*(q - 2)**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 3020762.\nAnswer: 302076.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11814464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -3097\nAnswer: -27873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 2. Let s(i) = 6*i + 3. Let y(f) = -9*o(f) + 5*s(f). Let c(t) = -t + 2*t - 10*t + 5*t + 4. Determine 4*c(p) + 5*y(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 1153114?\nAnswer: 1153135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*b - 223*b + 2884 = -40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.3, 0.943, 2\/3?\nAnswer: 0.943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*u - u = 2, -3*b = 4*u - 14. Let h be (-1)\/1*b - (-1 - -4). Let w(l) = 55*l**2 + 3*l + 2. What is the remainder when w(h) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.069 * -210\nAnswer: -14.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/8 + (-1)\/4. Suppose -3 = -x, 2*o + 4*x - 17 = z*x. Suppose -5*p + 27 = o. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from lyu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 398, 590, 772, 944, 1106?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (77\/(-35))\/((-4)\/(-10)). Is l greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1 - 4130*h + 3 + 4129*h - 3 + h**2. Let l(f) = -10*f**2 + 7*f - 9. Suppose -394 - 290 = -38*o. Calculate o*u(v) + 2*l(v).\nAnswer: -2*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/15*(-30)\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000011 (base 2) in base 5?\nAnswer: -2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 6*j**2 - 7*j**2 - 3*j**3)*(j - j + 2*j).\nAnswer: -6*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 903 and 236887?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-11)\/9*3. Suppose 3*k - 2 = 2*u, -5*k = u + 3*u - 18. What is the remainder when (z + -5)*4\/6 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -1 - 1\/12*c**3 + 0*c + 0*c**2 + 0*c**4 + 1\/20*c**5. Factor a(k).\nAnswer: k**2*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541\/38 greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 321*p + 1594. Let o be h(-5). Let a(m) = 14*m - 15. Let y(u) = -5*u + 5. What is o*y(r) - 4*a(r)?\nAnswer: -r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g = 6. Let d(h) = -25*h + 25*h + g*h**2. Let x(j) = -2*j. Calculate x(d(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 5*y**2 - 2*y + 11. Suppose -35*i + 12 = -33*i. Let c be h(i). Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1600 = -141338*i + 141258*i. Let b = -29 - -63. What is the remainder when b is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*l + 24, 0 = -5*l - 2 - 8. Suppose 0 = a*g + g - 98. Solve 4*s = 3*y + 13, -5*y - g = -2*s - y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1. Let x = -1 - -2. Let c(t) = 20*t - 2. Let r(z) = x*c(z) + 3*g(z). Let i be r(1). Solve -p + 2 = -b - 3*p, -5*b = -p + i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2190*j = 2186*j + 5*z + 78, 13*j - 4*z - 82 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2. Let b(d) = -10*d**2 + 4. What is h(b(u))?\nAnswer: -200*u**4 + 160*u**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38796 and 1037157.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/((n**(-1)\/n)\/n))\/n*n*n)*n*n*n**(-2\/75))\/(n*n*n\/n**6)**40 assuming n is positive.\nAnswer: n**(8773\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 7*m + 4. Suppose 5*y - 4*y - 5*l + 15 = 0, y - 4*l = -13. Calculate z(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 6*c - 3. Suppose 2 = -p, n + 2*p - 2 + 3 = 0. Let g be n + 0 + 0 - -3. Determine y(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-5*t + 8*t - 8*t) + t + 0*t - 3*t + (-2*t + 0*t + 3*t)*(-6 + 2 + 3) + 2*t - 5*t + t + 0 + 0 + 2*t + t - 6*t + 3*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1362 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 672\/1705 + 2\/341. What is the biggest value in -2\/7, r, 40.9?\nAnswer: 40.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 5. Let f be k(-3). Suppose 18 = -2*c + 5*j - 7, f*c = 2*j - 10. Let o(h) = h**2 - h + 12. What is the tens digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 - -18)*(5 - 5). Let a be (-27)\/18 - (-26)\/4. Put y, a, -3, 9 in decreasing order.\nAnswer: 9, a, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 12 + 4. Let u be -9 - (o - 0) - -3. What is the second smallest value in u, -5, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17226)\/(-72))\/(-33)*-4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 30\/4*(-204)\/(-170).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1033515305 + -0.10335. What is d rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2808 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {i: 2, n: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1) - 0 - -15. Suppose 504 = 2*m + 10*m. Calculate the remainder when m is divided by (-3)\/b + 222\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-20))\/(219\/(-365))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.99603 millilitres in litres?\nAnswer: 0.09499603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 48*l**2 - 2*l - 270. What is h(-24)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) - (2 - -97). Suppose -21*l = 50*l - 4361 - 2597. Let z = l + k. Solve -a + 1 + 0 = z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91183.\nAnswer: 91183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:22 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 3*f - 61. Calculate m(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 52857711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i - 15. Suppose 0*d - 16 = 5*d + k, -5*k = -i*d - 40. Is -2 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43840, -43775, -43592, -43231, -42632?\nAnswer: -41735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j\/(j\/(j*j**(1\/6)*j))))*j\/(j**10\/j*j*j))**(17\/3)*((j**(-2\/9)*j)\/j*j**(1\/4))\/((j**(-1\/2)\/j)\/(j*j*j**(-4))) assuming j is positive.\nAnswer: j**(-1411\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 57*h + 2317. Give p(-25).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/21)\/(180\/315).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j + 625 = -2*w - 0*w, -j - 2*j - 2*w + 0*w - 31 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -246, -13, 5, 1 in decreasing order.\nAnswer: 5, 1, -7, -13, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2243 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 828 (c) -4 (d) -0.5 (e) -3\/5 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*g**4 - 13*g**5 + 12*g**4 - 3*g**5 - 2*g**5 + 3*g**5 + 0*g**5 + 0*g**5 + 2*g**5 + (0*g**4 + g**4 - 2*g**4)*(-g + 0 + 0) - 5*g**5 + 3*g**5 + 12*g**5.\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9633 and 4704115.\nAnswer: 3211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwwwjjjwwwwwwjwjjww. What is prob of picking 1 w and 2 j?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and ((-870)\/(-261))\/(2\/27).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.2 - -6.7. Let s = v - 15.8724. Round s to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 5603*f + 5640*f - 17 - 11252*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d - 85. Suppose 7*h - 307 = 169. Calculate the highest common divisor of h and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 - f + 10. Suppose 0 = -5*t - 15 - 25. Let a be g(t). What is the greatest common factor of a and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:09 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7529 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -0.12.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8259 is divided by 2751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -19.225, -2\/17, -5, 8\/3 in descending order.\nAnswer: 4, 8\/3, -2\/17, -5, -19.225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/221592 and -169\/84.\nAnswer: 221592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1170\/108) + (-15)\/(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 14. Let f be p(17). Let o be (-4)\/3*12\/8 - f. Solve -2*b - o = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*72\/(-45) - 232\/(-14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33556.\nAnswer: 2, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 - -134. Let y be (-2)\/(-1*(-6 - 1)). What is the second biggest value in r, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + k + 35 = 0, 3*m + 4*k = 2*k + 56. Calculate the greatest common factor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = 2*q + 12, z - 3*q - 6 = 0. Let b be (24\/(3 + 3))\/(-7*1). Put z, b, -0.5 in increasing order.\nAnswer: z, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 1872658, 1.\nAnswer: 1, 50, 1872658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*c - 107*c + 88*c = -3040. Solve 710 - 758 = c*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 3. Let d(j) = -1. Let u(c) = -3*d(c) - t(c). Let y(q) be the second derivative of 2*q**3 - 3*q. Calculate y(u(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 92, 5\/7, -0.12?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 5*m - 4*m)*(1 - 2 - 2) + (-2*m - 4 + 4)*(2 + 2 - 7) - 5*m - m + m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 12*r + 2. Let a(p) = p**3 - 5*p**2 + 6*p - 14. Let t be a(5). What is q(t)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 3*f**2 - 20. Let l(v) = -3*v**3 - 10*v**2 - 65. Let b(w) = -3*l(w) + 10*u(w). Let j(s) = 1. What is 3*b(a) + 15*j(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2148 and 89\/8.\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-nine thirds of a week?\nAnswer: 3304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 328024*n + 1640154. What is p(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) 4 (c) -0.4 (d) -27 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1556 + -1555.99604. Round z to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -0.2, -5, 48\/7 in ascending order.\nAnswer: -5, -0.2, 3, 4, 48\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/5*6\/4. Solve 0 = -3*o + h*n + 9, 0 = o + 3*n - 5*n - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/(-18) + 72\/(-162).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 5*i + 3*i)*(1 - 5 + 3) + 763 - 1303*i - 763.\nAnswer: -1301*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*d**4 + d**3 + 6*d wrt d?\nAnswer: 228*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 14*l**2 + 15*l - 13. Let s be r(6). Suppose -2550 = -5*y - 3*n, -s*y = -4*y - 5*n - 538. What is the highest common divisor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((5\/(-20))\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*d - 5*d + 4*d)*(5*d + 0*d - 4*d) to q*d**2 + v*d + s and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-49))\/((-3904)\/(-224) + -17)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) -1 (c) 42 (d) 2\/13 (e) -0.1 (f) -104\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -135. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.02 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 697\/287*1932\/506?\nAnswer: 102\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24))\/(1115\/(-548580)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4895538 + -4?\nAnswer: 4895534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399773741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10723903 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60 - ((-27)\/3 + 7 + 0). What is the greatest common factor of 22 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20)\/25)\/(-2 + (-2844)\/(-1425))?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 33\/28, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 + 237. Sort -99, -1, q.\nAnswer: -99, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16298790 divided by -21\nAnswer: -5432930\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23916597.\nAnswer: 3, 7972199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 138444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/90 + 4*a**5\/15 + 8*a**4\/3 - 2*a**3\/3 - 4*a**2. Let i(q) be the first derivative of p(q). Factor i(h).\nAnswer: 4*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 4. Let c(l) = 11 - 6 - 3*l - 2*l**2 + 0*l**2. Let d(m) = -4*m**2 - 5*m + 10. Let n(i) = 5*c(i) - 3*d(i). What is 6*n(s) - 7*r(s)?\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8962349 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41219\/4 - -10306. Factor 1\/4*s**3 + 7\/4*s - i*s**2 - 3\/4.\nAnswer: (s - 3)*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738 a factor of 22466915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 + c**4 + 3*c**2 + (2*c**2 - 2*c**2 + c**3)*(4*c - 3*c + c) + c**4 - c**2 + c**2 + 5*c**4 + 2*c**4 - 3*c**4 + (-2 - 1 - 7)*(3*c - 3*c + c**4).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 22*g**2 + 20*g - 21. Let r be x(-21). Is (r - (-1 - -2))*(-1 - 36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1226 - -15066. What is i rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from yyyyynyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 375550 - 182880. What is f rounded to the nearest 1000?\nAnswer: 193000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 102*m**2 - 688*m.\nAnswer: -2*m*(m + 8)*(m + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 522\/(-232) + 371\/(-700)*-5. Suppose h*w - 2\/5*w**2 + 4\/5 = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {w: 3, a: 1, t: 1, d: 1, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 8717230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 equal to 443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987191841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.92 - 0.22. Let n = r - 11.7. Which is the biggest value? (a) n (b) 5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {o: 1, g: 3, q: 1, h: 3, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*s - 10278 - 2450 = 174*s for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -602*i**3*p**2 - i**3*p + 1252*i**3 wrt p.\nAnswer: -1204*i**3*p - i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**5\/30 + 7*b**4\/12 + 34*b**2. Factor p(o).\nAnswer: 2*o*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/105*-6*(-5)\/(-2). Let n be 2 + 1*3\/i. Which is the nearest to 3? (a) 18 (b) n (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 43 = 2*c - 23, -3*k - 3*c - 54 = 0. Let f = k - -28. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 4*j**2 + 5*j - 2. Let n be r(-5). Let h be ((-3 + (-3)\/(-6))*n)\/1. Suppose h*f - 2*t - 340 = -0*f, -5*f = 2*t - 320. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.408 - -6.23. Let n = 0.038 - v. Let d = n + 11. Which is the smallest value? (a) d (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**7\/105 + 3*d**6\/20 + 11*d**5\/10 + 35*d**4\/12 + 4*d**3 - 3*d**2 - 13*d. Solve b(i) = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 24. Let u = 5 + -3. Suppose -20 = q*t, 2*t + 0*t = u*k - 13408. What is k rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y + 60 = 0. Let i be (13 - y)\/(2 + -1). Solve -p = 3*v - 8*v + 3, v - i = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one halves of a hour?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 6. Let k be d(-5). Let y be (4\/(-56))\/((-11)\/(-4)). Let w = y + 160\/231. Put -5\/2, k, w in decreasing order.\nAnswer: w, k, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3 + 2 - 4. Let m(p) = -3*p + 2. Give 2*c(t) - m(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13038482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 423?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*5\/675 + (-304)\/60?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 32*k**3 - 420*k**2 - 736*k - 350.\nAnswer: 2*(k - 25)*(k + 1)**2*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 25*j - 1893. Let r be s(58). Calculate the highest common divisor of 581 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2 - 52*r - 176 = 0.\nAnswer: -22, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2121320 - -1013?\nAnswer: 2122333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.56 + 1150519780.\nAnswer: 1150519779.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 5*h - 27, -54*b - 6*h = -55*b - 30 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1140946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/360 and 31\/2263140?\nAnswer: 4526280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -15. Let n = w - 43. What is the closest to n in -2, 5, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 6:59 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3701\/(-22206) - (-1167)\/(-126)\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x + 5 = 41*x + g - 20, -2*x = -0*x - 4*g + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o - 36. What is the highest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1312 - 1315. Let b be ((-1)\/(-3))\/((-3)\/(-3)). What is the closest to -1 in b, 19, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 1. Let s(u) = -4*u**2 + 3*u + 7. Let k(n) = -5*o(n) - s(n). Let t be k(-3). Which is bigger: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 51 - 15 = 0. Solve 7*c + 3 = s*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(204) - sqrt(204))*-2 + sqrt(204))\/sqrt(12).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-66)\/77)*16\/308.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 - ((-552)\/28 + 0). Suppose 0 = -s - 9*s + t. Suppose -2 = -3*c + 13. Solve c = -o + 3*a - s, o - 5*a = -9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4492, 18001, 40524, 72067, 112636, 162237?\nAnswer: 220876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**14*b))\/(b*b**(-10)))\/(b**(1\/2)*b*(b\/b**(-2\/19))\/b) assuming b is positive.\nAnswer: b**(-289\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979 + 1491 = -1866*c + 1771*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(-1*sqrt(1296))*3 + 1)**2 + (sqrt(182)\/(sqrt(7) + sqrt(7)*3))\/(sqrt(12)\/(sqrt(6) + sqrt(30)\/sqrt(5))))*-5.\nAnswer: -145\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 5, h: 2}. What is prob of picking 1 l, 1 h, and 1 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 68974.88 seconds?\nAnswer: 68974880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2620 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 30. What is the fourth smallest value in -0.3, -3, w, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 - (-1 + 8). Let x be (-548)\/b - (-2)\/(-4). Suppose -y + 3*y = 4*q - 78, 0 = -4*q + 4*y + x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - 2007477501\nAnswer: -2007477541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -77*b + 2. Let v(o) = -1791910*o**2. Calculate q(v(g)).\nAnswer: 137977070*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**3 + 64*g**3 + 10*g**3 + 2*g**3 - 15*g**3.\nAnswer: 76*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-12) - (-51)\/(-63). Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + 11. Suppose 5*l + q = m, q + 3*q - 8 = 0. Suppose -o + 4*o - 33 = -l*r, -r + 15 = 3*o. What is the least common multiple of 4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 53 - 59*v**3 - 20 - 2*v - 25*v**2 + 62*v**3. List the prime factors of i(10).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 - -181. Put -29, 3, 5, z in increasing order.\nAnswer: -29, 3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i - 2*i)*(-1 - 2*i**2 + 1)*(7*i - 10 + 10).\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 607*j - 192*j - 311*j.\nAnswer: 104*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2832.023343 + 2832. What is b rounded to 4 decimal places?\nAnswer: -0.0233","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 122. What is the remainder when u is divided by (-6)\/21 - 128\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 39*d**3 - d**2 - d + 1. List the prime factors of m(1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77575889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tledklledkedc. What is prob of sequence dtl?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by -30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7221835 and 3961.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5143729 - 3.416.\nAnswer: -5143732.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1565 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 2 - -9)\/(1\/(-4)). Let x be (((-9)\/(-6))\/(3\/j))\/(-4). Which is the nearest to -1? (a) -0.2 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from nnnunnunnunuunnnnnn?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**5 + 2550*w**4 + 10254*w**3 - 5088*w**2 - 30771*w + 23058 = 0?\nAnswer: -3, 1, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17956 + 73*v**3 - 35856 + 17900.\nAnswer: 73*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 9:32 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2165 = -166*b - 2289 + 138 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42988, -0.5, -2, -11?\nAnswer: 42988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**4 + d**3 - 2*d**2 - d - 1. Let b(x) = 3*x**4 - 14*x**3 + 14*x**2 + 14*x - 19. Let h(k) = -b(k) + 2*z(k). Determine j, given that h(j) = 0.\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 16. Let w be b(-16). Let y(o) be the first derivative of w*o**2 + 2\/5*o**5 + 0*o**3 + 0*o - 3 + 0*o**4. Factor y(j).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + -48. Which is smaller: -140 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Let q(w) = 9 + 10 + 2*w**2 - w**2 + 0 + 16. Calculate q(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 11\/8*v**2 + 1\/8*v**5 + 13\/8*v**4 + 0*v + 23\/8*v**3 + 0 = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397296 by 16554.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 12:01 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6214071 take away -22058?\nAnswer: -6192013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 592, 1187, 1780, 2371, 2960, 3547?\nAnswer: 4132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 5*s**7\/14 + 19*s**6\/6 - 7*s**5\/12 - 40*s**4\/3 - 50*s**3\/3 + 237*s**2. Determine p, given that y(p) = 0.\nAnswer: -5, -2\/3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 1. Let p(k) = -k + 12. Let b(n) = p(n) + 2*q(n). Let m be b(-7). Find the third derivative of o - 4*o**2 - o - o**m + 4*o**3 wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 13\/(39\/(-87786)) + -5. Let k = b + 49438. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.039 - -0.0334. Let s = -0.2114 + c. Let f = s - -0.017. Sort 3, -1, f.\nAnswer: -1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2, 4 in decreasing order.\nAnswer: 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2. Let o(l) = -l - 2. Let h be o(-4). Let x(k) = -3*k**2 + 2*k**2 - 4*k**h - 2*k**2. What is x(g(p))?\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 - 62.5. Let u = 1.8 + 4.2. What is the nearest to 1 in -0.5, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 16*x**2 - 12*x - 28. Let r be s(-4). Suppose 3*t - 45 = r. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - -41. Suppose -g = -2 - v. Suppose -3*d + 5*i + g = 0, 2*d + 3*i + 16 = 3*d. Calculate the highest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231609 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 16712652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 1)*(0*c**2 - 2*c**5 + 0*c**2) + 8*c**5 + 12*c**5 - 6*c**5)*(-9 - 96 - 38).\nAnswer: -2574*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 8 = -g + 18*s, -2*s = 2*g + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25720 + -175897\/7. Let o = 592 - q. Let 3\/7*u**3 - 1\/7*u**2 + 0 + o*u**4 - 3\/7*u = 0. What is u?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240077409 + -15.83.\nAnswer: 240077393.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.3788761us?\nAnswer: 0.00000000149413225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*g**2 - 33*g**2 - 28*g**2 - 25*g**2 - 33*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5453*t**2 - 801593*t - 271. Determine v(-147).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2*v + 2*v**2 + (-2*v + 0*v - v)*(v + 4 - 4).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**6\/30 - 2*k**5\/5 + 2*k**4\/5 + 206*k**3\/15 - 7*k**2\/10 - 196*k\/5 + 369. Determine j so that u(j) = 0.\nAnswer: -7, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 331258*j*r + 14195*j + 4 wrt r?\nAnswer: 331258*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11580900 and 16.\nAnswer: 46323600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3*399*(-6)\/54)\/7\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -1\/36*h**3 + 1\/1440*h**6 + 0*h - 3*h**2 - 1\/2520*h**7 + 0 - 1\/288*h**4 + 1\/240*h**5. Factor z(u).\nAnswer: -(u - 2)*(u - 1)*(u + 1)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 7) to base 9.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 331400 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4 + 2*sqrt(2448) + -4 + sqrt(2448) + sqrt(2448) + sqrt(2448) + 1 + sqrt(2448))*-3*3*1 + -3)**2.\nAnswer: 12960*sqrt(17) + 7138468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c7 (base 16) to base 11.\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*2*1\/(-3). Let f be (-1 + 1\/(-2))\/s. Let p be 2\/4 - 3\/6. Is p != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -6352, -5, 1, 4, -3 in descending order.\nAnswer: 5, 4, 3, 1, -3, -5, -6352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/387 and 58\/897.\nAnswer: 115713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 51. Suppose 256 = -21*k + j*k. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**2\/2 - 1. Let t(v) be the first derivative of 3*v**2\/2 + 179. Determine l(t(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59836367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w**2 + 40*w + 3. Let y(k) = -8*k**2 - 27*k. Let s(h) = 5*i(h) + 7*y(h). Give s(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21550925467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2171 - -2458. Calculate the remainder when s is divided by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(-4 + m + 4) - 2*m + m - m to the form t*m + z and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 43*h**3 - 680*h**2 + 2652*h - 2016.\nAnswer: (h - 6)**2*(h - 1)*(h + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1123310 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f*j**3 - 3*f*j**2 + 2*f + 30*j**4 - 1075*j**3 + 2330*j**2 + 25*j wrt j.\nAnswer: -24*f + 720*j - 6450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 4. Let b be m(-3). Suppose 5*v - b - 2 = 0. Suppose -9 = -v*f + 6. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5 - 55\/24*v**4 + 0*v**3 + 0 + 3*v - 2*v**2 - 1\/24*v**6. Determine r so that x(r) = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21849274039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 9*v = 4. Let b(p) be the second derivative of p**4\/12 - 4*p**3\/3 - 5*p**2\/2 - 2*p. What is the remainder when v is divided by b(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t - 57 - 11*t**2 + t**3 + 31 + 12. Let i(w) = w**3 + 5*w**2 - w + 7. Let h be i(-5). Let v be l(h). Solve 0 = -u - u + v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(500)*-4*-6*-4)**2 - (sqrt(405)*4 + -5 + -5)).\nAnswer: -4608010 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800544441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 7*o = -36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*4)**2 + sqrt(5) + (sqrt(5) - (-2 + sqrt(80))) + -6*(sqrt(5) - ((sqrt(30)*2)\/sqrt(6) + sqrt(5))) + 0.\nAnswer: 10*sqrt(5) + 5122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -16 + (1 + -7 - -8) - 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (391\/119*-2 - (-6 - 180\/(-28))) + -24?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499202?\nAnswer: 2, 11, 22691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c63 (base 16) in base 14?\nAnswer: -2911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x = 67*x - 40 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = 3*o - 226, -226 = -2*x + o. Let j = 136 - x. What are the prime factors of (-24)\/(-132) - (-3692)\/j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) 1 (c) -0.5 (d) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 10*z**2 + 9*z + 25. Let l be y(-14). Let s = 3788 + l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 - 4 = 0, -j + 2*o - 789 = 0. Let s = 792 + j. Is s bigger than 6\/245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2753, -0.4, -10\/13, -95\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -94056189 rounded to the nearest 1000000?\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 3*d**3\/2 - 19*d**2\/2 + 8*d - 1. Is l(18) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l + 177. Let t = l - 57. Suppose 4*x = c + 75, t*x + 4*c - 5*c - 35 = 0. Calculate the smallest common multiple of 22 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2. Let h(j) = 122*j**2 + 20. Let v be (9 + -3)\/(42\/(-28)). Let c(o) = -5. Let i(l) = v*c(l) - h(l). Give f(i(k)).\nAnswer: 14884*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**6\/180 + m**4\/6 - m. Let o(c) be the third derivative of t(c). Let g(w) = w**2. Give g(o(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)*(t**(-1\/2)\/t)\/t)**45)**(-2\/21) assuming t is positive.\nAnswer: t**(135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:35 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598, 596, 592, 586, 578?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7) + sqrt(28)\/sqrt(4))*2.\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + 7. Let v be s(2). Let g be 56\/(-16) + 2 + v\/2. Suppose -128 = -2*m - 2*m + g*a, 3*m - 96 = -a. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 723 + -737. What is the third smallest value in -1, c, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 7)*(-22*a - 17*a + 49*a + 7).\nAnswer: -60*a - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from hihhhhiihhhh.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27933 and 2.\nAnswer: -55866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26005*-2.9.\nAnswer: -75414.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1977920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - a + 34, 3*a + 69 = 2*y + 28. Suppose 4*p - 7 = y. What is the remainder when (9\/(-2))\/(p\/(-70)) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.6756828 to 1 decimal place.\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 868767*d**2 + 1384078 wrt d.\nAnswer: 1737534*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -96*b**3 - b**2 + 26*b + 26. Calculate v(-1).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xamlaxlaaixlmaa. What is prob of sequence axmx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80.8 + 272. Let o = l + -225. Let y = o + 34. What is the closest to 3 in 5, y, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-144)\/(-78) - 2\/(-13). Suppose -v*j - 3*j + 100 = 0. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261161067 to the power of 1\/2, to the nearest integer?\nAnswer: 16160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 44\/12)\/(28\/(-231)). Let u(g) be the first derivative of -4 + 20*g**2 + 4*g - n*g**4 + 77\/3*g**3. Solve u(j) = 0 for j.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/3)\/(-1 + 0). Is (-1436)\/(-5) - z\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*r, 4 = 4*s + 3*r - 7*r. Suppose -s*y + 0 = 5. Does 4 divide (-1 - 0)\/(y\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 647*c**4 + 176*c**4 - 29*c**4 + 0*c**2 + 0*c**2 - 4*c**4 + (2*c - 2*c - c)*(1 + c**3 - 1) in the form d*c**3 + b + g*c**2 + j*c + f*c**4 and give f.\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -53. Find the common denominator of b + -3 + 13\/(-6) and -67\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 6*d + 8. What is b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/108 and 157\/30450?\nAnswer: 548100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 16. Let t be 3\/(-2*b\/4). Suppose c - 3*c = t. Is c at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4484452*b = -4484285*b - 167 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**1\/a*a*a**(-2\/7)*(a**(-2\/5)\/a)**(-12))\/((a\/((a**(4\/5)*a)\/a*a)*(a**(-3)\/a)\/a)\/(a\/(a**(-1)*a)*a*(a*a\/a**(-1\/7)*a)\/a)) assuming a is positive.\nAnswer: a**(996\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 10. Let r = 27.2 - j. Sort -2\/23, -0.4, r in increasing order.\nAnswer: -0.4, -2\/23, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.61 + 12. Let t = 39.61 + k. Let j = t - 35. Which is the third smallest value? (a) -1\/4 (b) j (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*u + 17 = 0, 9 = -2*r - u - 2*u. What is the smallest value in -1\/3, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14702956387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c**4 - 1284981*c**3 + 321258*c**2 + 1284981*c - 321246 = 0 for c.\nAnswer: -107082, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - b - 8*t + 56, t - 15 = -22*b - 0 - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 130\/64869 in ascending order.\nAnswer: -2, -1, 130\/64869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -2) + (10 - -865). Let h = 1506 - n. Does 55 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274 - 131 - 126 - w)*(-3*w**3 + w - w).\nAnswer: 3*w**4 - 51*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 + 38*p**2 - 22*p**2 - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - f = -0 + 2, 3*f = -12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2664244 (base 7) in base 4?\nAnswer: -1111330300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.671l in millilitres?\nAnswer: 494671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlrbbjlrrbdjdbd. What is prob of picking 1 b and 3 r?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z + 48*z + 107 - 16 - 17*z + 23*z.\nAnswer: 68*z + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 188*z**3 + z**2 + 5. Let b be h(2). What is the derivative of -b*s - 55 - 18*s**2 - 68*s**2 + 1513*s wrt s?\nAnswer: -172*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/273)\/(-9 + 525\/49 + (-10 - -9))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + (-1 - (-1 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -18*s + 48. Is r(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2138448 by -267306.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 374 = -0*h + 2*h, h = 2*l + 184. Let v = h + -151. Suppose 12 = 4*j - 0. Calculate the least common multiple of j and v.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Suppose -4*m = 3*z - 290, -l*z + 374 = 5*m - 6*z. Suppose -5*k = 4*a - 227, -2*k + 4*a = -0*k - m. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/7 (b) 2 (c) 5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c = -124 + 34 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/33)\/((-2)\/30). Suppose 0 = 2*s - 5*s. Solve s = -0*l + d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6865 or -6869?\nAnswer: -6869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 1)*(-23*v - 2131 + 11*v + 7*v).\nAnswer: -10*v - 4262","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363458, -363165, -362376, -360845, -358326?\nAnswer: -354573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*k - 1, -r + 4*k = -4. Suppose 66 = -6*i - r*i. What is the common denominator of 10\/6*(-4 - i) and 101\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {v: 3, j: 1, a: 5, g: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 + 2*o + 2. Determine r(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*m + 46*m + 44*m as g + i*m and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10100110010 (base 2) to base 16\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*j + 120, -2*j = o - 4*j - 24. Let y be 108\/(-42) + 2 + 151\/7. Suppose -3*t - 2*f - 2*f - y = 0, 3*t = -5*f - o. Sort t, 8, 5.\nAnswer: t, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10012 - 3?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = 2, 5*q + 21 = -2*n. Let j = -7 - n. What is the tens digit of (1 - j) + (1 - -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 not equal to -2\/2765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78\/131 - 81\/524. Sort -9, -1\/6, n, -4, -5 in ascending order.\nAnswer: -9, -5, -4, n, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*c + 47*c + 940 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 67. Let y = 14 + d. Solve -y = -u - 0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77, 142, 203, 260, 313, 362?\n\"Answer: -2*m**2 + 71*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.17, 1\/4, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 3. Let z(u) = -u - 2. Determine 5*n(t) + 6*z(t).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -137.9734591 - 0.059\nAnswer: -138.0324591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1457 + 215 = 209*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3946.\nAnswer: 7892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 29023000 to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 8*i - 6*i, i = -5*x + 24. Find the second derivative of x*j - 9*j + 11*j + 5*j + 18*j**3 wrt j.\nAnswer: 108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus -27885?\nAnswer: -27902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -2*q - 2*b - 2*b, -5*q + 259 = 2*b. What is the highest common factor of 561 and q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102440220 (base 6) to base 9.\nAnswer: 3356803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - o**2 + o + 12. Let b be f(-4). Suppose 2*u = -8, 0*w - 5*w = 2*u - 532. Let p = b + w. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -134317 from 10008.\nAnswer: 144325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8635920 + 11780?\nAnswer: -8624140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 15)*(0 - 10). Suppose 7*a = 2*a + z. Suppose 0 = 1805*i - 705*i - 7700. What is the highest common divisor of a and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + (-7 - -24 - 6). What is the closest to m in -2\/3, -9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6279 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0236 rounded to two dps?\nAnswer: 3.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 2*h**2 + 2*h**2 + 587*h**3 - 571*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 409*h + 47021. What is a(-115)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59\/5 of a hour?\nAnswer: 42480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60798 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1620152*-4.\nAnswer: 6480608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -10*t + 4*t + 2*t - 2*t + 5*t. Determine s(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/3*(-4 - (-20)\/8). Suppose -3*k - k - 33 = 3*o, -o + x*k + 8 = 0. Sort -5, o, 3.\nAnswer: o, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2112 and 858.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 0.5, 2, -8\/13?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1321*k + 23405 = -14904 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 3. Let v = q + 5. Which is greater: v or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = z, -z - 26*q + 5 = -23*q. Suppose 52*d = 57*d - 10. Solve 0 = d*i + z - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 4. Suppose p*u = 4*u - 6. Suppose u*o + 3*v = 4*o - 24, 3*v = -9. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55.41 + 0.59. Let w = -58 + o. Which is the third biggest value? (a) 1 (b) -5 (c) -0.2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.52. Put 2\/9, 1.3, 0.1, n in descending order.\nAnswer: 1.3, n, 2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2. Let q(g) = -g**2 + 1. Let a(c) = -2*c**2 + 1. Let x(k) = -2*a(k) + 2*q(k). Calculate x(d(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/90705?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 884312 divided by 442156?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Let c be (-1)\/(-4) - (4 + -29)\/(-100). Solve c = -b*k - 23 + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-6)\/3 + -1. Let v = 75 + -128.9. Let q = 39.1 - v. Is q >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 7*d**2 - 2*d**2 + 0*d**2 - 2*d**2 + 0*d**2 + (-3 + 2*d + 3)*(-2*d + 2*d - d) as p*d + a + i*d**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4166 - -5.5834. What is the closest to 0 in k, -7, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48481973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-144))\/(14 + (-14586)\/1040)*29*-1\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(4\/7)*l*l*l))\/l**(2\/3))**(9\/4)\/((((((l*l**(1\/7))\/l)\/l)\/l)\/(l**(-4\/3)*l))\/(l**(-2)*l**(-1\/2))) assuming l is positive.\nAnswer: l**(-347\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Suppose 2*b = -3*c + 8, 4*c + 13 + 3 = z*b. What is the greatest common factor of 36 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, 3, -158.2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9773.48814 and 0.468?\nAnswer: 9773.02014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -3*x - 1\/2*x**2 + 20 - x**3. Give i(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 73. Suppose 3*p + 2*p = 0. Solve -z + 5 - m = p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 4*j + 0*j + (10 - 16 - 13)*(0 + 0 + 3*j) + (3 - 4 - 1)*(0*j - 2*j + 4*j).\nAnswer: -63*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + (-18)\/12)*124\/(-3). Which is greater: -187 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 9150000 = 3*f. Round f to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1113 - 113021311?\nAnswer: -113020143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 85*k**2 + 11*k. Let q(m) = -17*m**2 - 2*m. Let r = -2649 + 2660. What is r*q(v) + 2*y(v)?\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01076464 to four decimal places.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/4 - 707*l**2\/2 + 1411*l\/4 + 1413\/2 = 0.\nAnswer: -1, 2, 1413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 323*x**6\/120 - 56*x**3 + 23*x**2 + 10. What is the first derivative of q(r) wrt r?\nAnswer: 969*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239662.\nAnswer: 2, 119831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -43, -0.4, -187?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*(-3)\/3 - (1 - -1). Suppose -4*a = -3*a + g. Calculate the remainder when 21 is divided by 63\/5 + a\/(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17508 + -612778\/35. Which is the nearest to -1? (a) -2\/7 (b) -2\/17 (c) r (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10*j*j**20)\/(j**(-14)\/j*j*j*j**(2\/29)) assuming j is positive.\nAnswer: j**(1274\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.29 + -23. Let i = 0.79 - b. What is the third smallest value in i, 3, -4\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 - 4*q**5 + 3*q**5 - q**5 + q**5 - q**5 + (3*q**2 + 0*q**2 - q**2)*(-4*q**3 + 3*q**3 + 3*q**3) + q**4 + 2*q**5 - q**4.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716269 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371779?\nAnswer: 1371779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/114*-3*4. Let l = k + 73\/76. Find t such that 0*t - 3\/4 + l*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(30)\/(sqrt(20)\/sqrt(2) + sqrt(10)))**2.\nAnswer: sqrt(3) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -18418*y**2 - 2*y. Let g(a) = 2*a**2. Give n(g(p)).\nAnswer: -73672*p**4 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275*c + 36*c + 44*c + 3 to h*c + g and give h.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 4) to base 7\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49615073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3\/2 (c) 500 (d) 1 (e) 145 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1467 + -7358\/5. Calculate the common denominator of (1\/3)\/((-36)\/1152) and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13076.82l to millilitres.\nAnswer: 13076820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**2 - 2*f + 711. What is the remainder when v(0) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(2\/7)*f)**(-5\/8)*f**(-3)*f**(1\/3))**7 assuming f is positive.\nAnswer: f**(-793\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 4:25 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1610081 by 1.\nAnswer: 1610081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**5\/60 + w**4\/24 + w**3\/6 + 25*w**2. Let j(p) = -2*p**2 - p - 2. Determine j(z) - s(z).\nAnswer: -z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125037 + 846*g**2 - 125037 - 1687*g**2 + 841*g**2 - 5*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -2)\/((-3)\/9). What is the second derivative of -4*z**3 + z - z**3 + u*z**3 wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18543 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbbc when four letters picked without replacement from {c: 3, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60055 * -0.3.\nAnswer: -18016.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 12*i + 71. Let q be h(-17). Let v(o) = o**2 - 4*o + 12. Is 20 a factor of v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 633280422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 301 + 214 = 0. Suppose -33*l + 1730 = 28*l + 83. What is the remainder when d is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5\/3 + 88*r**4\/3 - 1148*r**3 - 25576*r**2\/3 + 710912*r\/3 - 227328 = 0 for r.\nAnswer: -37, -18, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, -4, 2, 5, -3 in ascending order.\nAnswer: -27, -4, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 5*g**2 - 4*g + 6. Let m(s) = -s**3 + 10*s**2 - 9*s - 4. Let y be m(9). Let h be a(y). Solve -3*p = -p - h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 223, 635, 1441, 2773, 4763, 7543?\nAnswer: 11245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 9420?\nAnswer: 122460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffssfsssssssfs. What is prob of picking 1 s and 2 f?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1183*o**2 - 2426*o**2 + 1248*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 8 = 6*a. Suppose -f + 4 = a. What is the tens digit of f\/(-8) - (-1275)\/60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601142.4ms in hours?\nAnswer: 0.166984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 39?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 595918 and 55674.\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 - 2667378*g**2\/5 - 69356898*g - 2254154110.\nAnswer: 2*(g - 1333819)*(g + 65)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3640.9 + 3640.8977751. Round a to 5 decimal places.\nAnswer: -0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0*2\/8. Let r be y\/5 + 18\/5. Let z(l) = 3*l - 10. Let o be z(r). Solve -o*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(94 - 60*p + 30*p + 27*p).\nAnswer: -6*p + 188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18144 divided by 21\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238253 is divided by 257?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 3*p + 3*p)*(-2*p + 2*p - p) + p**3 + 2*p**3 - 2*p**3 - 3792*p**3 - 277*p**3 + 101*p**3.\nAnswer: -3965*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1492234, 2984467, 4476702, 5968939, 7461178?\nAnswer: 8953419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56097166?\nAnswer: 2, 31, 904793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -144 (b) -17 (c) -2\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 15. Suppose -4*m - 7*t = -2*t + 33, -2*m - 12 = -2*t. Calculate the remainder when 15 is divided by b(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/4 + (-3)\/(-1). Suppose -10 - 12 = -u*o. What is the least common multiple of 14 and o?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45496166.233 and -121.8?\nAnswer: 45496288.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(1666\/56)*(-35)\/(-230).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k - 10 - 1. Calculate the remainder when 0 + (-44)\/(-3 + k) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfidqdviiqq. What is prob of sequence iq?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)\/m**15)\/(m\/(m\/(m**(-6\/11)*m))*m*m**(-24)\/m) assuming m is positive.\nAnswer: m**(177\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 43*w - 5*d = -2527 - 853, 0 = -3*w + 5*w + d + 220 for w.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 v when three letters picked without replacement from bbvbvbvbvqbbqq?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1163 divide 4682238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 196\/(-245) + (-628)\/(-10). Is -6\/7 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = -4*w + 7*h + 393, 0 = w + 3*h - 107. What is the remainder when w is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130064 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**3*u**3 - 2*t**3 - 194*t**2*u**5 + 31*u - 3 wrt u.\nAnswer: -12*t**3*u - 3880*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Suppose -3*s + 2*s + 17 = 4*y, i = -4*y + 3*s + 13. Find the second derivative of p + y*p**4 - 3*p**4 + 0*p wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 306 = 8*g. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 110?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -184109654 and 4.\nAnswer: -184109650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -3.8 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5490 + 5993864.\nAnswer: 5988374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -2, -141, 4, -60?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppdpd. Give prob of picking 1 p and 1 d.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.238 + -0.073. Let d = 13.235 + h. What is d rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 522 = 5*y, 2339*y - 3*n = 2338*y + 102. Suppose -137 - 52 = -h. Calculate the highest common divisor of h and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*s - 8, -4*s - 2 = -3*h + 3. Let g be 21\/12 + s\/4. What is the derivative of 6 + 0*t + g*t - 4 wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/4 - 14349*y\/4 + 28714 = 0.\nAnswer: -14357, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26602 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 40 - 16. What is the units digit of (93\/4)\/(z\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(52))**2 - (sqrt(1053) + 2)**2) + 5.\nAnswer: -2005 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87294, 4, 57.\nAnswer: -87294, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*n - n, 5*m = 15. Let y = 1.99 - -0.01. Let u = -83 + 78. Which is the biggest value? (a) u (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 1, k: 1, o: 4, p: 1}. What is prob of sequence ppdh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -73*l - 4054. Let x be w(-56). What is the greatest common factor of 258 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 248. Let r = l - 178. Calculate the greatest common divisor of 32 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 0.01 (c) -3\/10 (d) 15\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616 (base 9) in base 2?\nAnswer: 101010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2\/5 (c) 2\/11 (d) -3 (e) 1\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -366.\nAnswer: 17\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 3*f + 6 = -3*b, -f - 2*b = -9. Solve 3*s + f*s = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 10. Let m be c(6). Suppose m = 3*l + 23. Let w(z) = -11*z**3 - 7*z - 7. Let p(s) = -5*s**3 - 3*s - 3. Give l*p(k) + 3*w(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -319ab (base 13) to base 14\nAnswer: -248bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 + 4*l**4 + 5 + 47*l + 129*l**2 + 106*l**2 - 131*l**2 wrt l.\nAnswer: 48*l**2 + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -4\/3*c**3 - 3 + 0*c + 0*c**2. Let o(h) = -h**2. Determine z(o(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3\/4, 5\/6, 0.3 in ascending order.\nAnswer: -0.3, 0.3, 3\/4, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**2. Let c(r) = 15*r + 4*r + 16*r - 3*r. Determine c(b(q)).\nAnswer: -192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 + 8*t - 12. Let o(q) = -q**2 + 2*q + 1. Calculate -4*o(d) - z(d).\nAnswer: -d**2 - 16*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 351*b + 75646 - 77401 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/70 + (-3)\/((-3)\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*y**3 + 2*b**2*y**2 + b**2*y - 1183*b**2 + 11*b*y**2 + 5*b*y - 20*y**3 + y**2 - 10*y wrt b.\nAnswer: -2*y**3 + 4*y**2 + 2*y - 2366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 78336.\nAnswer: 78336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62371 and -526.\nAnswer: 32807146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17162048831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 3, k: 2, y: 2}. Give prob of picking 3 n.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/9 + 140*f**3\/9 + 7634*f**2\/9 - 140*f\/9 - 848 = 0.\nAnswer: -36, -1, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34a7 (base 16) to base 8.\nAnswer: -32247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 7) to base 9\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**(-1)\/h))**(-24))**(-43) assuming h is positive.\nAnswer: h**1032","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72 or -1794\/25?\nAnswer: -1794\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.870965 milligrams?\nAnswer: 0.000004870965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.83 - -15.27. Let a = 15.9197754 - -5.1803356. Let k = a - x. Round k to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78901*d**4 + 13*d**3 + 7455*d**2 + 19.\nAnswer: 1893624*d + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9833 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*((sqrt(500) - (sqrt(500) + 0)) + sqrt(500) - sqrt(500)) + 5 - -4*(-5 + (sqrt(605) - 4*(sqrt(605) + 1*sqrt(605)))))**2.\nAnswer: 6160*sqrt(5) + 474420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:45 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16775.9524 rounded to the nearest ten?\nAnswer: 16780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -105254.82 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2746 divided by 6\nAnswer: -1373\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 2:13 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1422.6 and 0.01537.\nAnswer: 21.865362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 14837.\nAnswer: 14836.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:47 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g*g\/((g\/(g\/g**(-4)*g))\/g))**(9\/5) assuming g is positive.\nAnswer: g**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.32 and -112204?\nAnswer: -484721.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-1) + 141 + -2. Let d = -99 + k. Suppose 90*y**4 + 35*y**3 + d*y - 2 + 2 - 95*y**4 - 75*y**2 = 0. Calculate y.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2 and -53\/596?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1512 - 1517 + 76*f - 73*f. Let q(n) = -4*n + 7. What is -5*q(b) - 8*w(b)?\nAnswer: -4*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -25 - (-2 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4237\/256660 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.970005275 + -17.97. Round d to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32690711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2898 + 0?\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 130?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 11. Let s = u + -8. Let k(g) = -g**3 - 4*g**2 - 5*g - 4. What is the units digit of k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57132939.5 to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75168500 is divided by 291?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*(-5015)\/(-3009).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 9 + 4*i - 4*i as v*i + b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 40 = -5*x, -3*s + 15*x = 16*x + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.1848 grams in tonnes?\nAnswer: 0.0003021848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4002*z - 52042. Calculate q(13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3.8, 72 in descending order.\nAnswer: 72, -0.2, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 + 86829*z**3\/5 - 2694582*z**2\/5.\nAnswer: 3*z**2*(z - 31)*(z + 28974)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -14. Let r = m + -10. Suppose -f - r*n = -2*f + 323, 0 = 4*n + 4. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-19 + 3) - (5 + 7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -e8bb (base 15) in base 12?\nAnswer: -245a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -120, 2.2, -5.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + 45. List the prime factors of r.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37657026 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1. Let w(u) = 6*u - 6. Calculate 4*c(f) - w(f).\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 489.9 - 490. Let y be 0 + -1 + 1\/1. What is the closest to -4 in -0.4, y, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5799267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72.7 - 49.7. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148559 is divided by 147298.\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(9\/4)*(f\/(f\/(f*f**(-10))*f*f))\/f)**(-3\/23) assuming f is positive.\nAnswer: f**(117\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -90.625.\nAnswer: 2990.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -856796031 divided by -1183.\nAnswer: 724257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/84)\/(11*8\/396*3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*b + 4*z - 12, -3*b - 3*z + 9 = 0. Let -2\/3*c**4 + b*c + 0 - 4\/3*c**3 - 2\/3*c**2 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5878?\nAnswer: 2, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 905 - 197. Is q a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 1963?\nAnswer: -195e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/20 and -23\/42508?\nAnswer: 212540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 4*n**2 + 2*n - 5. Let d be g(4). Suppose 0*u = -2*u - 3*l - d, 4*u + l = 9. Let x(w) = w + u*w - 5*w. Let p(k) = k. Give x(p(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 8. Let k = 7 + s. Suppose -4*u + 31 = 3*l - 59, -k*l - u = -65. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 11:15 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-974)\/10714*(-88)\/3.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 12*t + 17. Give g(-9).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 3. Let w be u(-3). Let g = w + 16. Let p(v) = -v - 7 + g. Let z(o) = 5*o**2. Give p(z(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220376.1 nanometers to micrometers.\nAnswer: 220.3761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(170)*-3 + 5*1*sqrt(170))\/((4*sqrt(90) + sqrt(90))*5))**2.\nAnswer: 44*sqrt(17)\/75 + 24557\/5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/3 - 62944*n\/3 - 495243392\/3 = 0.\nAnswer: -15736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2103?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 138\/(-4)*56\/(-12). Let a = y - 113. Let h(l) = 10*l - 8. Let t be h(4). What is the greatest common divisor of a and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*r + 2717 = 283*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 52 = -4*x. Suppose -4*y + 2*y - 3*d + x = 0, 3*d = -3*y + 75. Suppose -y = -5*j - 3. Solve -2*m + m = 3*k - 7, -m + 10 = j*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -13*t - 47. Determine y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 160 = -5*z. Suppose z = -4*a, -197 = -4*s + 3*a + 2*a. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*-6 + -6. Let m = 3 + l. Does 14 divide (1 + 0 + m)*14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-28)*-42*90\/(-78435)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 3. Let u(n) = 3*n - 3. Give 4*l(s) + 6*u(s).\nAnswer: 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.06, 1, -1.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9}. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52848.69ml in litres?\nAnswer: 52.84869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + (sqrt(119) - (sqrt(119) + -1*sqrt(119)))))\/sqrt(7)*5 + -2.\nAnswer: -5*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7553 (base 8) in base 4?\nAnswer: 331223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-180)\/(1 + -10) + 1. Is ((-35)\/g)\/(7\/(-42)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7492 + -7488. Which is the third biggest value? (a) -4 (b) g (c) -2\/17 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -45. Let i(o) = o**3 - 10*o**2 + 8*o + 10. Give i(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.779 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055461 at least 2055433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -1.37 (c) 199 (d) 1\/3 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b + 234. Let c be (-1)\/(-3)*-2*9. What is the remainder when 76\/6*(-9)\/c is divided by f(37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -48*h + 3. Let k be m(-2). Suppose 0 = -2*y + 3*b + k, 0*b + 138 = 3*y - b. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 142377*k. Let q(v) = 24*v + 15. Give y(q(h)).\nAnswer: 3417048*h + 2135655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -3 (c) -29 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -3, 0, -345, -1\/3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 7:15 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3412)\/(-7677) + ((-5)\/(-9) - 0). Do 3\/6761 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 10*a**2 + 8*a - 8. Suppose 2*z - 1 = v + 7, 0 = -2*z - 5*v - 4. Suppose k = z*k + 18. What is the units digit of i(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 9250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35545663 + -9.85?\nAnswer: 35545653.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 33. Suppose -235 = -5*f - 5*d, -3*f + 4*d + 65 = -48. Calculate the remainder when f is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:34 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.2, 0, -0.1, 210, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.042008 minus 388.131?\nAnswer: -17.088992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -2\/21*a**7 + 0*a**3 - a**2 + 0 + 0*a**5 + 3\/4*a**4 - 42*a + 7\/30*a**6. What is the third derivative of j(s) wrt s?\nAnswer: -240*s**2 + 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14493485939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, x: 4, b: 2, n: 1}. What is prob of sequence bb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 8379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.5 (c) -4 (d) -0.2 (e) -384\/11 (f) -5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - 2*r + 0*r)*(0 + 3 - 5)*(4 - 9 - 4) to v + g*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5*z + 15, 5*z - 2*z - 18 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2445 - -4?\nAnswer: 2449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15468 - -5.24557\nAnswer: -15462.75443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 2 - (-25 + 41)) + (17 - -31)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 1032 + 1484. Calculate the highest common factor of q and 1921.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*x - 81 + 20, -c + 18 = -2*x. Let q = 8 - c. Let t be 2 + 14\/q - 152\/(-32). Solve 6 = -d + t*g - g, -4*g = 4*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y + y - y**2 + y + 2. Let a = -409 + 411. Let d(v) = 5*v - 5 - v**a - 4*v**2 + 4*v**2 + 3*v**2. Determine 4*d(r) + 10*h(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*o**3 + 403*o**3 + 39*o**3 - 30 - 27*o**3.\nAnswer: 551*o**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6527913*a**4 + 327712*a + 2.\nAnswer: -78334956*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -255\/24563 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1072*t**3 - 814*t**2 + 8195*t + 551?\nAnswer: -6432*t - 1628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 65*l**2 - 895*l - 2020. What is z(-47)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334279 is divided by 60649.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -19*n + 7. Sort -1, 1, n, 5 in descending order.\nAnswer: 5, 1, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37, -42, -57, -88, -141?\n\"Answer: -m**3 + m**2 - m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 303803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 1, t: 4, w: 4, u: 1, n: 4}. Give prob of sequence ngu.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7707\/23 - 335. Let o = 669\/266 - 2\/133. Which is the third smallest value? (a) o (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 7, 0 in decreasing order.\nAnswer: 11, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10796.8815us to days.\nAnswer: 0.00000012496390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 266 divided by -1\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:37 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110175 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-376995)\/4305 - 18\/84*2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2010 and -83\/4.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + 5 + (1 + sqrt(1008) - sqrt(1008)) + sqrt(1008) + (sqrt(1008) - (sqrt(1008) + ((sqrt(1008) + -1)*-6)**2)).\nAnswer: -36318 + 888*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/14, 192, -6, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 31. Let x be t(11). Suppose 4*u = -u - 4*f + x, 8 = 2*u + 4*f. Solve -2*s + 7 = k - 4, u*s - 20 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by (-4)\/((4\/6)\/((-32)\/12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1466, 2535, 3606, 4679, 5754?\n\"Answer: w**2 + 1066*w + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818 - 8 = -82*b - 174 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71495942*m + 54*m**3 - m**2 - 71495942*m.\nAnswer: 54*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = 0. Suppose f = 4*d - 4*y + 15 + 9, y = -2*d - 12. Let h be 279\/(-54) + (-1)\/d. Let m(u) = u**3 + 4*u**2 - 5*u + 4. Determine m(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1095)\/(-30))\/((-9)\/(-4) - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -628\/63 + 91\/9. Let d(v) be the second derivative of 0 + o*v**3 + v + 1\/42*v**4 + 2\/7*v**2. Solve d(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 123*a + 6138. What is r(-66)?\nAnswer: -1980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inn when three letters picked without replacement from didinnidiiiid?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 18. Suppose -j = -5*j - x. What is the tens digit of 16\/j*165\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 1)*(-4 + 3 - 4)*(-2*o**2 + 2*o**2 + 4*o**2) in the form p*o + z*o**2 + v and give z.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 6*r**2 - 6*r - 4. Let m be (-2)\/(-10) + (-216)\/(-45). Determine v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*58152271\nAnswer: -17445681.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46635 + 46635 + 7*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48999600.16 + -3?\nAnswer: 48999597.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2\/5 + 927399*r\/5 + 927384 = 0?\nAnswer: -309128, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g + g - 3*g - 6*g - 2 + 7*g. Let p(s) = s**2. Calculate p(a(y)).\nAnswer: 36*y**2 + 24*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from pzzzzzppzz.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -m - 30. Suppose 5*a + 24 = 2*r, 2*a + 5*r = 3*a + m. Let w be (-6)\/(-36)*15\/a. Is w >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1094 + -189b?\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2186, -8726, -19626, -34886, -54506, -78486, -106826?\n\"Answer: -2180*y**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = -3*r, 3*r - 19316 = -5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12180058 - -12171143.057. Let u = -8920 - t. Let p = -0.057 - u. What is the smallest value in -0.2, p, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 385, 396, 407, 418, 429, 440?\n\"Answer: 11*v + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 86761.240996652?\nAnswer: 86761.440996652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186867 and 1229631.\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g - 69 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -544*b**3 + 277*b**3 - b**4 + 276*b**3 + b to the form f*b**4 + q*b**3 + y + l*b + t*b**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 22. Suppose 94 + u = 5*z. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6019979?\nAnswer: 7, 19, 45263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 28*d**2. Let j(u) = 149670*u**2. What is j(z(y))?\nAnswer: 117341280*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*p + 745 - 181 = 0. Solve 0 = k - 5*k - p, 0 = -4*v + 3*k + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -38*g**2 + 1936*g + 104. Let j be r(51). Solve -6*x + 9*x - 32 = 5*l, 3*l - j*x = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-28)\/(-35))\/((-4)\/(-10)). Solve 3*o + 5 = p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 1. Suppose 24 = 23*v - 21*v. Give f(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/7 in -14, 1, -3\/8, 5, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.2 (c) -3 (d) -25\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -224*s + 144 + 0*s**2 + 4*s**2 + 272*s = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (16 + (-9 - -4) + 3)) + -4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 350663067 to the power of 1\/3, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/120)\/((-1)\/(-2)). Let t = -0.0206 + -0.1794. Is d greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -50*6\/(-4). Let v = m + 180. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010000 + -11001100000101101?\nAnswer: -11001110010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 3*f**2 + f**2)*(2 + 1 - 4)*(-2*f - 2*f + 7*f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 109892 and 3652?\nAnswer: 1208812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 7*t - 10. Let r be o(7). Let b be r*((-14)\/4)\/(-7). Let m(k) = 2*k**2 - 2*k + 5. What is the remainder when m(b) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 7*b**2 + 8*b - 1. Let i be r(-2). Solve -f + 2*f = -4*v - i, 3*v + 3*f + 9 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -31. Suppose -4*p + 2*p + 14 = 4*j, -p + a = -j. Solve 2*u = 5*f - p, 4*u = 3*u - 3*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -27. Let j = 20 + c. Let d(n) = -n**2 - n**3 - 5*n**2 - 5 - 5 - 5*n + j. What is d(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, h: 4, s: 9}. What is prob of sequence shse?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15685, 31452, 47237, 63046, 78885, 94760, 110677?\n\"Answer: l**3 + 3*l**2 + 15751*l - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 3*m**2 + 2*m**2 + (-3*m + 3*m + 5*m)*(7*m + 11 - 11) to the form y*m + b*m**2 + g and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 + 3. Let i = 0 + l. Let z = 459 - 459.6. Do i and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 - (0 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 13*z + 0*z**2 + 24 + 7\/3*z**3. Differentiate i(v) wrt v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*x**3 - 4*x**2 + 905 with respect to x.\nAnswer: -171*x**2 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55, -128, -191, -238, -263, -260?\n\"Answer: c**3 - c**2 - 77*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 7*s + 21. Let i be o(-6). Let y = i + -15. Suppose -3*b = -54 - y. Calculate the lowest common multiple of b and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449537?\nAnswer: 3, 483179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 9*z**2 - 14*z - 1. What are the prime factors of x(11)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h - 4*h)*(-34 + 89 + 27).\nAnswer: -246*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:18 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18185, 35571, 52943, 70295, 87621, 104915, 122171?\nAnswer: 139383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -70\/5674413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 176. Is i(-29) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000090207 rounded to seven decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -13*j**2 - 2*j + 7. Let f(u) = -28*u**2 - 4*u + 16. Let n(v) = 4*f(v) - 9*y(v). Let o = 9 - 15. Let a be ((-2)\/(-6))\/(2\/o). Calculate n(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12949 <= 555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 1, 0.2, -53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*b + 782181*g - 782179*g, 5*b = 15*g + 90 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - 26*q - 35*q + 88*q - 27*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let i(t) = 7*t + 1 - 7*t + 4*t**h. Suppose -8 = 2*g + 2*p, 2*p - 6*p - 15 = 5*g. Determine i(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 829405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -33, 0 in ascending order.\nAnswer: -33, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/22*(-55 + 30 + 35)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37\/42 - 3\/14. What is the second smallest value in -0.2, v, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2727*m + p + 1 = 2733*m + 43, 2*m + 2*p = 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 20120 = 4976. Let j = o + 252403\/100. Find the common denominator of j and 107\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6888 divided by 1722.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-2)*3*(-2)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -23*v - 568. Let k be g(-25). Solve -j = -k*j - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14084 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p*u**2*z - 672*p*u**2 - 820*u*z - 5*z - 10 wrt z?\nAnswer: 2*p*u**2 - 820*u - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 13*a + 29. Let w(n) = 2*n**2 + 26*n + 56. Let f(s) = -5*v(s) + 2*w(s). Let o be f(-10). Let u = -6 + 11. Sort o, u, 4, 3 in decreasing order.\nAnswer: u, 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 23107016.5.\nAnswer: 4621403.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Let o = 116.2 - 116. Put o, -2, q in descending order.\nAnswer: q, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -7, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8382, -16837, -25462, -34341, -43558, -53197, -63342?\nAnswer: -74077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 + 2. Suppose -5*v + 2*b - 17 = -43, 11 = -v - 5*b. Suppose -v*r = -8 - 0. Calculate j(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*18\/(198\/(-11))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2181 (base 10) to base 9.\nAnswer: 2883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b8a4 (base 12) in base 6?\nAnswer: -10113524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5590 divided by 4.\nAnswer: -2795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 29*h**2 - 20*h.\nAnswer: -h*(h - 5)*(5*h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49001*2.\nAnswer: 98002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) -0.51 (c) 0 (d) -1\/8813 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 - 3) + -57)*6928\/96. Let c = -4246 - a. What is the common denominator of c and -45\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 6?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5485142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 1 (c) 2\/3 (d) -1\/4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 207ec3 + -5?\nAnswer: 207ebe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 510, 1, -2 in descending order.\nAnswer: 510, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1939150 or 60113652\/31?\nAnswer: 1939150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - ((0 - -6) + -62 + 29)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -303, -308, -313, -318, -323?\n\"Answer: -5*o - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 19*x + 72 = 0. Solve -x = 4*r + 2*m, 5*r = 7*m - 2*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -105*p**2 - 3*p - 46. Let a(m) = 316*m**2 + 8*m + 141. Let l(d) = 3*a(d) + 8*n(d). Differentiate l(q) with respect to q.\nAnswer: 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (4*sqrt(3159) - sqrt(3159)))\/(sqrt(243)*-2).\nAnswer: 13*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 2, 15, -7, 2.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aam when three letters picked without replacement from mmmaaaammaaamammma?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3655822*m*v - 1611273*v with respect to m.\nAnswer: -3655822*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/52*(-2)\/(-7)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 + 58. Let q = b - -81. Round q to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 761*y**3 - 2*y - 1. Let r be d(-1). Is (r\/30)\/(4\/(-6)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:44 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 16. Let w(f) = f**3 + 3*f**2 - 6*f - 4. Let r be w(-4). Suppose 0 = 3*d - 3*k + 9, r*d + k = -0 + 3. Is s(d) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*i = -56893, -5*l - 4*i + 56917 = -8*i. Suppose -32*h + 8811 + l = 0. Does 48 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85488536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 4*q - 5. Suppose 0*p = 2*p - 5*u + 8, -3*u = -2*p. Calculate m(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61895 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -26004010?\nAnswer: -26004015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1 + x - 1824*x**2 + 3517*x**2 - 1692*x**2. Let p = -3 - -1. Give u(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -337*b**2 - 27217*b**5 + 27520*b**5 - 5 + 5 wrt b?\nAnswer: 18180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 8*b + 10. Let y be o(-8). Let z = 12 - y. Calculate the least common multiple of 4 and z\/(-4) + (-60)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 829*p - 2288 - 199. Determine q, given that -9\/7*q**4 - 36\/7 - 48\/7*q**p + 48\/7*q + 45\/7*q**2 = 0.\nAnswer: -6, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.4 and -1327026324322.\nAnswer: -1327026324318.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 6*f**2 + 5*f. Let h be t(5). Let m = -5567\/11 - -507. Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2632\/3525 + 8\/(-100)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99331*m**2 - 259*m - 86?\nAnswer: 198662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833 is divided by 947?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 - -131. Let d(b) be the second derivative of b**5\/10 + b**4\/4 + 4*b**3\/3 + 2*b**2 + 2*b. Let w be d(q). Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32126578 is divided by 8031641?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134914?\nAnswer: 2, 13, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -7 + (-2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in 3\/5, -11\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11954 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2523 + -34035?\nAnswer: -31412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 157539481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -14*n**2 + 4*n - 5. Let l = -25595 - -25596. Determine d(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.066548246487 + 3.\nAnswer: -1.066548246487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52, 79, 126, 193, 280, 387?\n\"Answer: 10*v**2 - 3*v + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/12 - 7*s. Let u(x) = 4*x. Determine h(u(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -37*j + 5. What is f(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, i: 3, v: 3}. Give prob of sequence ie.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28482, -58571, -88660, -118749, -148838, -178927?\n\"Answer: -30089*j + 1607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 0.035?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/669 and -40\/27.\nAnswer: 6021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y = 4*f, f = 4*y. Suppose -5*r + 4*j = -f*r - 3, 4*r + 10 = -3*j. Is r at most as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -12 - 8 + 9 + 3*v**2 + 10*v**2 - 28*v - 27. Is u(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3 + 0*l**2 + 0*l**4 + 1\/5*l**5 - l**3 + 0*l. Find the third derivative of y(c) wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - -51. Suppose 3*p - t = -5*l, -l + 20 = -0*p - 3*p. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 73*z + 69*z + 2*z**2 - 142*z. Let g(k) = -2*k + 82 - 124 + 67. Give g(o(t)).\nAnswer: -4*t**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/2 - 79*t\/3 + 728\/3 = 0. Calculate t.\nAnswer: -182\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/3, -2\/9, -2\/5, -9, -1478\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, 1, 24, 55, 94, 141?\n\"Answer: 4*u**2 + 3*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505227*j**2 + 1010531*j**2 - 505393*j**2.\nAnswer: -89*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18*s**2 - 33 + 3*s + 26 - 17*s**2. Let y be 5\/(-1) + 0\/2. List the prime factors of x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 5*c**4\/4 + 8*c + 5. What is the derivative of o(h) wrt h?\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 9*g**2 + 12*g - 50. Calculate l(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 10 = 2*j, -6*l + 3*l = 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 + 2*u + 3. Let z be d(-3). Let p = z - -3. Let b = -4 + p. What is the biggest value in 0, -2, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 82158 and -59.\nAnswer: 82099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001179772 to 7 decimal places.\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -3 + -13 + 5 + (0 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 612\/(-63) + 8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/((i**(-11\/2)\/i)\/i)*i*i)*i*i**(-10\/3) assuming i is positive.\nAnswer: i**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k. Let x(q) = 13*q + 12*q - q. Determine x(l(u)).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*h - 9 = 0, -2*q - 5*h = -10*h + 3. Let b be (-2)\/(-5)*(11 - 1). Solve b - q = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -139 - bda?\nAnswer: -d13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -271\/22 + 130\/11. What is the third smallest value in -4, 1\/8, 0.4, i?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -2 + 40\/(-15). Let g = 196\/429 + -10\/33. What is the closest to n in 0.2, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + 15 + -52 + (27 - 107).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 5*z - 8188 = -x, -z + 2047 = 2*x. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3483\/(-2967)*(50\/125)\/((-9)\/15)\nAnswer: 18\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2431 + 16950. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4 - 0. Let g(r) = 3*r - 4. Give g(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570467547 divided by -39.\nAnswer: -14627373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 76*w - 1412. What is k(38)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -4. Let y(u) = 22*u - 48. Is y(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2 - (-8)\/6. What is the smallest value in g, -1\/10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-769 - 9)\/(-2 + 4)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -2. Let g = 126 - 123. What is the closest to 0 in l, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 123*q - 2001. What is c(-103)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 21.98. Let z = p - -0.02. Put -0.4, -3, z in increasing order.\nAnswer: -3, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-54)*(-4)\/70*896\/(-256).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -1, 0, -8, 64 in descending order.\nAnswer: 64, 0, -1, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**2*v + 12*j**2 - 17*v - 5 wrt v.\nAnswer: -2*j**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 60, 148, 282, 468, 712, 1020, 1398?\n\"Answer: k**3 + 14*k**2 - k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2\/7, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39019*d**2*t**2 - 2*d**2 + 404516*d*t**2 wrt d.\nAnswer: 78038*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 253?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 11011221202222?\nAnswer: -11011221210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*r - 31 + 77. Let p = 7 + -5. Solve p*u = -r*o, -o + 10 = 4*u - 2*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + d**4 + 0*d**4 + (-2 + 2 - 2)*(-2*d**4 + 5*d**4 - 5*d**4) + 3*d**4 + 0*d**4 - d**4 + 66*d**4 - 10*d**3 + 3*d**3 - 65*d**4.\nAnswer: 8*d**4 - 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 21*q - 56. Let j be h(5). Is j less than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1605*z**5 + 114*z**4 - 48915*z + 3.\nAnswer: -32100*z**3 + 1368*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-1 - -73) - (-1 - -3). Let s = -344\/5 + b. Let n = s - 13\/15. Is -1\/2 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + q**2 - 2*q**2)*(9*q**2 - q**2 + 20*q**2) + (0 + 0 + q**2)*(-q**2 - q**2 - q**2).\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52060.\nAnswer: 2, 5, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o. Let f(v) be the second derivative of 0*v**3 - 18*v - 1 - 1\/6*v**4 + 0*v**2. Give f(c(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -2 (c) 174\/6187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 947102 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438599874 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4104\/(-48)*2\/18?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, and 1 z when three letters picked without replacement from {e: 1, z: 1, p: 1, s: 1, n: 2, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 472*v - 442*v - 60. Let l = -2.96 - 0.04. What is the closest to 1 in -5, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -18. Suppose -2*c = -g*c. Suppose i + 3*i = 4*p + 20, 4*i + 5*p - 65 = c. Which is bigger: 11 or i?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(6)\/sqrt(2)*4*3)**2 + -2).\nAnswer: 3452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -324051741047 minus 0.2?\nAnswer: -324051741047.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 4*i**2 - 3. Let p(a) be the third derivative of -a**6\/60 + 3*a**5\/20 + a**3 - 5*a**2. Determine 9*g(s) + 4*p(s).\nAnswer: s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 426349679 to the power of 1\/2, to the nearest integer?\nAnswer: 20648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1009142 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11952, -23906, -35862, -47820?\n\"Answer: -f**2 - 11951*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11556345 (base 7) in base 13?\nAnswer: -2a5193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.471999105 rounded to 3 decimal places?\nAnswer: 0.472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**3 + 5*q**2 + 9*q + 12. Determine n(-4).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, 3, -0.03, 4\/5 in descending order.\nAnswer: 3, 4\/5, -0.03, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(54)\/sqrt(3) - 1*sqrt(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 280\/480*50\/35\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/20 (b) 3 (c) 2 (d) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 32 = -4*h, -691*h + 689*h = -2*t + 12. Put 2, 4, -26, -3, t in descending order.\nAnswer: 4, 2, t, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 8*p - 10. Suppose 6*w - 449 = -371. Suppose -w*x - 240 = -162. Calculate k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*v**5 - 5*v**5 + v**3 + 4*v + 36*v**5 wrt v.\nAnswer: 820*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42 - (2\/(-7))\/((-21)\/294). Suppose 177 = 3*q - 2*h, -5*q - 2*h = -q - 222. What is the greatest common divisor of d and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -564.666109417+-195\nAnswer: -759.666109417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 2543.\nAnswer: 106806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17814 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2406 + 228572\/95. What is the closest to 3 in -0.2, t, 0, -2\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 13 = 2*j. What is the remainder when 43 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*j, 0 = 2*m + j - 0*j. Let t(c) be the second derivative of -c**3\/6 - 3*c**2 + c. What is t(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3101322 (base 4) to base 11\nAnswer: -a103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(3\/(-2)))\/(-18 - 7). Which is the biggest value? (a) 4\/7 (b) m (c) 4 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by -105428.\nAnswer: -143\/52714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 - 4 + 2*d**2 - 17*d in the form v*d + r + t*d**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -13 + 3 + (5 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1548 + -1546. What is the greatest common divisor of 110 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4419 is divided by 1082.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + d + 10 = 2*d, 2*d = -t + 10. Suppose 3*a = t*x - 22, 3*a + 1 - 14 = -5*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*i**2 + 68*i**2 + 68*i**2 + 71*i**2 - 353*i**2 + 73*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8964 = -2*z + 8*r - 5*r, 8980 = 2*z + 5*r. What are the prime factors of z?\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f - 3. Is 3 a factor of o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38711431 divided by -187?\nAnswer: -207013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 373320593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 433? (a) 626 (b) 1\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8533182008 to the power of 1\/3, to the nearest integer?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-26) + (-5120)\/(-6240).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s - 6 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 2 - 2)*(3 - 1 - 5)*(-2 + 0 + 1)*(-2 + 0 + 4)*((-4 + 4 - 2)*(1 - 2 + 4) + 0 - 1 - 1) as o + t*a and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74, -72, -68, -62, -54?\n\"Answer: w**2 - w - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5\/(f*f*((f\/f**(3\/2)*f*f)\/f*f)\/f)*(f*f\/f**(-1\/7))\/(f*f\/(f\/f**6*f)) assuming f is positive.\nAnswer: f**(-19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5100 and 3000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5867582*g*p**3 - 963385*p**3 wrt g.\nAnswer: 5867582*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4209749401?\nAnswer: 11, 13, 857, 34351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2633035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 781\/314 + 2\/157. Let k = 11.3 + -11. Which is the second smallest value? (a) k (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 5*b**2 + 15*b**2. Let q(j) be the first derivative of -5*j**3\/6 - 35*j - 7. Let o(y) be the first derivative of q(y). Calculate z(o(i)).\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*l - 695*l - 478*l - 714*l + 66027 = 0 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**3 + 4*c**2 + 2*c**2 + 8*c**3 - 6*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 2 - (105 + -100)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtxtxvltxxltxxsvl. Give prob of sequence tt.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.63145 to two decimal places.\nAnswer: -137.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s + 244 = 5*u, -2*s + 171 = 5*u. Let y = s + -227\/3. Is y > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by (-124)\/(-279) + 1218\/54?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/15239 and -13\/30478?\nAnswer: 30478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, r: 5, d: 3, x: 7}. What is prob of picking 1 d and 2 i?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 26. Let l be ((-8)\/y)\/(-1) + 360*10. Let n = 28743\/8 - l. Find the common denominator of -17\/22 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 7*n**2 + 13*n - 10. Let s be g(5). Solve -10 = -s*l - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5*sqrt(75)*-3*3)**2 + (sqrt(3) - (-6*(sqrt(12)\/sqrt(4) - sqrt(3)))**2) + (-2 + sqrt(75) - sqrt(75))**2).\nAnswer: sqrt(3) + 151879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 2, w: 1, t: 2, l: 6}. Give prob of picking 1 c and 1 l.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1112, -3709, -10758, -24485, -47116, -80877, -127994, -190693?\nAnswer: -271200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 8 = -3*f, 5*n - f - 277 = -253 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddqdddd. What is prob of sequence dddd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1\/(-1))\/(-1))\/((-16)\/(-13808)). Solve g - 849 = 7*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/6 + (-2)\/(-3). Suppose 40*d = 29*d - 46*d. Suppose c*p - 47 + 15 = d. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbp when three letters picked without replacement from pxbp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -125*d**2 - 134*d**2 + 3*d**3 + 244*d**2 - 2*d**3 - 120 + 14*d. What is the tens digit of u(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 - 5*n + 4. Let l be p(-4). Suppose -4*j = -2*w + 8, -3*w = 4*j + l - 0. Let x(q) = 4*q - 3 - 5*q + w*q + 2*q. Give x(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/10)\/(12\/48). Let q = -4 - 1. What is the nearest to i in 0.1, q, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/198 and 113\/274200.\nAnswer: 9048600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*v = -v - 7007, 0 = -4*g - 3*v + 5605. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -13. Let h = 71 + g. Suppose -11 = -2*s + 5. What is the highest common divisor of h and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 + 24 + 1 + 2275908 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/2 + -3 + 2. Let q be (-1 - 0) + w - -5. Suppose 151 = q*x + s, 23 = 3*x + 4*s - 74. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*o + 19*o + 17*o + 28*o + 19*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**6\/30 + n**5\/25 - 3*n**4\/20 - n**3\/15 + n**2\/5 - 1. Factor g(m).\nAnswer: m*(m - 1)**2*(m + 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:40 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(864\/(-300) + 3)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2390 + 2452 = 4*w, 27 = -6*t + 3*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:49 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 1. Let o(r) = 2*r**2 - 10*r - 10. What is o(y) + 6*u(y)?\nAnswer: 2*y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14292.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 16 + 227*g - 45 - 2 - 218*g.\nAnswer: 9*g - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 30*b = -6*b + 2882. Solve 17*p = -b + 80 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34274, 137061, 308306, 547955, 855954?\n\"Answer: -9*m**3 + 34283*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g + 13*g - 7*g)*(-4*g**2 + 2*g**2 + 3*g**2) + 0*g**3 - g**3 + 3*g**3 + (3*g - 3*g - 2*g**2)*(-g + 0*g + 2*g).\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 25. Let r = i + 20.02. Let p = -0.0199993 + r. What is p rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 + 16*v**2 + 14 - 49 - 107 + 305*v - 303*v to the form x*v + s*v**2 + b and give b.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 632 + -646. Suppose 4*g + 9 = -47. Is g <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146 + -124. Suppose 2*w - 33264 = -q*w. Calculate the highest common divisor of 99 and w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.14456 - 0.14456. Sort -2, l, 36 in increasing order.\nAnswer: -2, l, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 3*s**2 - 15*s + 2. Let q be b(-6). What is the hundreds digit of -9*(-3 + q\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 7. Let t = 6 + -6. Put t, -2, b in descending order.\nAnswer: t, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + q = 5*q + 92, c + 58 = 4*q. Let f be (701\/4 - 6\/(-8))*c. What is f rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 + 46*c**2 + 43*c**2 - 2*c**3 - 89*c**2.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4263 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f - 1. Let j be y(3). Let b be (-1)\/(-4) - j\/4. Let z be 1 + 4*-1 - -1. Put b, -3, z in decreasing order.\nAnswer: z, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -4. Suppose 0 = 5*p + k + j, p + 4 = 3*p - 2*k. Let i(m) = -m**2 + m - 1. Let v(o) = 6*o**2 - 5*o + 5. Give p*v(h) - 5*i(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1010000010001001111010101?\nAnswer: -1010000010001001111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 35*k**2 - 55*k - 729. Determine i(37).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19059 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 14*s**2 - s + 3. Is b(1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/w**(1\/6))\/(w*w\/(w\/(w*w**0\/w)*w))**(-20)*((((w\/(w\/(w*w*w*w**3*w*w*w)))\/w)\/w)**37)**(-3\/5) assuming w is positive.\nAnswer: w**(-4517\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722766253 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**4 - 118*k + 2*k**3 + 1 - 18*k**2 + 117*k + 2*k**4 - 2 to l*k**2 + y*k**3 + j + s*k**4 + p*k and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -3\/7 (c) 0.3 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.057607 - -213.614393. Let i = l - 213. Round i to 2 decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32\/118825033 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909845 is divided by 629?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**3 + 6*h**2 - 5*h + 2. Let j(y) = y**3 - 1. Let w(d) = f(d) - 3*j(d). What are the prime factors of w(-5)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 14*f**2 + 14*f - 5. Let z be c(-15). Let v = 3 + z. Suppose -i = 5*n - 22, n = -i - 0*n + 42. Calculate the remainder when i is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013689545199 rounded to five decimal places?\nAnswer: -0.01369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0397982945 to five dps.\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2940?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 212 = 147 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*y - 1554 = 368 - 242 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -50, -96, -160, -242?\n\"Answer: -9*g**2 - g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.21701 * 4\nAnswer: -0.86804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 35?\nAnswer: -9\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 71*f**2 + 30*f - 332. List the prime factors of u(49).\nAnswer: 2, 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 116 and -4058239366210.\nAnswer: -4058239366094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 221 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 5*s - s)*(s - s - 3*s**2) + 14*s**3 + 46*s**3 + 33*s**3 + s**2 - s**2 - 2*s**3.\nAnswer: 97*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 78488 and 9643344?\nAnswer: 9564856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235*c*n**2 + 2*c*n + 2364*c + 335*n**2 + n - 1 wrt n.\nAnswer: -470*c + 670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -457 + 446.48. Let c = -10.4 - l. Is c at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 - -59. Let w = k + 210. Let b = w + -72. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199 by 3.\nAnswer: -199\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 2279?\nAnswer: -2284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755 - 732 - 46*s**2 + 2244 - 757.\nAnswer: -46*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:25 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.3 or 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8781909mg?\nAnswer: 878190.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -80\/7*d + 2*d**2 - 24\/7 = 0.\nAnswer: -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbq when three letters picked without replacement from {r: 5, q: 6, b: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h. Let b be 0 + 4 + -4 + 4. Let y(z) = -3*z - 4. Let w(n) = -2*n - 5. Let u(c) = b*w(c) - 5*y(c). Calculate u(o(f)).\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 + 80 + 65 + 61 + 15*h**2 + h**2.\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 + -8 + 2 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + a - 13 = 0, 5 - 12 = -4*l + 5*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 5*f - 2*f**3 + 6*f**2 + 4*f - 10*f + f**2 - 1 in the form y*f + s*f**3 + u*f**2 + z and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((-2)\/(222\/3)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 114 = -678. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -53\/3. Which is the third biggest value? (a) -1\/2 (b) -4\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/165 - 103\/1155. Put 4, -5\/2, r, -1\/6 in decreasing order.\nAnswer: 4, r, -1\/6, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134437591 - 65*p - 134437591.\nAnswer: -65*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*y = -5*y + 6, 0 = u - 2*y + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8310 a factor of 2293757294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 6, -4, 10 in ascending order.\nAnswer: -4, -1, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvt when three letters picked without replacement from gvlmgmmggmtmtgmmm?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.5? (a) 0.2 (b) 1\/3 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*i + 4, -3*j + 4*i + 2 = -2. Put -4, -8, 1, j in descending order.\nAnswer: 1, j, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 10:30 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349291?\nAnswer: 349291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 212.8\nAnswer: 42.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 40*i = -10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-22)*h)\/((h*h\/(h**(-21)\/h)*h*h)\/h) assuming h is positive.\nAnswer: h**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2132 + -2121. Let l(n) = n**3 + 6*n**2 - n - 3. Let h be l(-6). Suppose -h*i + 14 - t = 0. Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 14, 20, 26, 32?\n\"Answer: 6*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*r - 2*r = 14, 3*r = -2*f - 9. Let y(t) = 2079*t**2 + 3*t - 2. Let k be y(f). Round k to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1719, -5052, -10009, -16590, -24795, -34624, -46077?\n\"Answer: -812*m**2 - 897*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.75 - 14. Put 0.2, 5, 4, n in descending order.\nAnswer: 5, 4, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/3899 or 2042?\nAnswer: 2042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-1))\/1*2. Find q, given that q**4 + 2*q**3 + 4*q + 1 - o - 6*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(17\/(-340)). Let g be (4\/10)\/(1 - 12\/o). Which is the smallest value? (a) 3 (b) g (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82876, 165756, 248636?\nAnswer: 331516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*3 - (-3)\/3. Let c be 1 - 0 - -1*m. What is the units digit of ((-4)\/(-5))\/(2\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 24\/(-15))\/((-1)\/5). Suppose 3*h = l*h - 555. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -v - 53742 + 216909, 8 = 4*v. Suppose q + 2*z - 8499 = -1968, 5*q = z + w. Suppose 0 = a + 5*m - 1204, -q + 1636 = -4*a + 5*m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3463*r + 3467*r + 11, 5*r + 26 = 6*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 7*k + 7. Let c be p(-6). Suppose 0 = -2*o + 5*n + 456, 11 + c = 3*n. Suppose 3*b = 10*b - o. What is the lowest common multiple of b and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11606083 greater than or equal to 11606081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 4*v - 90.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18342.9 + 18343. What is the nearest to u in -5, 1\/102, -1\/8, -1\/2?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (-22 - -15 - -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 28 = -2*o. Suppose 4*n - 9 = o. What is the least common multiple of n and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -25*q**2 + 1. Let n(p) = -941742*p. What is n(v(o))?\nAnswer: 23543550*o**2 - 941742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 3}. Give prob of sequence rg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 - 2*a - 7. Let l be j(-5). Put 1, -4, l in descending order.\nAnswer: l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 77, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 134824800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.61 times 1\nAnswer: 2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1545, -1547, -1549, -1551, -1553?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588236973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57.547811 and -0.5?\nAnswer: 58.047811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31771299 divided by -2\nAnswer: 31771299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8884 + -5288. What is the lowest common multiple of 16 and g?\nAnswer: 14384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - ((-16 - -8) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -10100202?\nAnswer: -10100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0428939 rounded to 3 decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24763.94 rounded to the nearest one hundred?\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 3 + 2*c - c - 5*c. Suppose 5*l + 10 = 5*q, 2*q - 5*l = -l. Determine h(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4722 is divided by 667?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 125644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 196*x + 2665*x + 6 - 14.\nAnswer: 2469*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**4 + 0*u**2 + 13*u**4 - 6*u**4 + 7*u**2 wrt u?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37874934 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**2 + 197*f + 780. Let y be c(-4). Solve 251*j + y = 268*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r. Suppose 23*c = 26*c - 90. Suppose -23*i - 126 = -c*i. Let u(p) = -9*p**2 + 0 - 18*p + i*p - 1. Calculate u(g(a)).\nAnswer: -36*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -610268986 divided by 86\nAnswer: -7096151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -40, 2, -3, -9.\nAnswer: -40, -9, -3, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 237 (b) -1.8 (c) 1 (d) 1\/3 (e) 9 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1656 and 36984.\nAnswer: 110952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -91*m**2 - 540*m + 32. Let g be i(-6). Which is the fourth biggest value? (a) -0.3 (b) 4 (c) g (d) 225 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*c*v**2 - 92371*c*v + 3*c - 81144 wrt v.\nAnswer: -20*c*v - 92371*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 2040718*a**2 + 1041130448160*a + 2082269059200.\nAnswer: (a - 1020360)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32, 34, 36?\n\"Answer: 2*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 18, 35, 56?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 67217112 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 4*h**4 + 4*h**4 + (-3 - 1 + 3)*(0*h**4 + 2*h**4 - h**4) - 65*h**4 + 57*h**4 - 4*h + 3*h.\nAnswer: -7*h**4 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/3 + 311726*i**2\/3 - 623458*i\/3 + 103910 = 0. Calculate i.\nAnswer: -155865, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.5, -3, -5, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88615, -88625, -88635, -88645, -88655, -88665?\nAnswer: -88675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1873 - -199. Suppose -l - 3076 = -22*z. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-107 + 2 + -2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18394336*h**3 + 80165517*h**2 wrt h?\nAnswer: -110366016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 204\/(-119)*(-189)\/36*9\/((-486)\/246)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.86738 micrometers?\nAnswer: 0.00686738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2\/703.\nAnswer: -3, -2\/703, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {j: 1, i: 4, r: 1, n: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -580*t + 2316. Give b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 + -44. Suppose 2*u = 5*y - 0*u - r, 3*y - 28 = -u. Let m = y - -7. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3)*3\/3. Let o be (-45)\/6*(-2)\/1. Suppose o - 7 = -4*l. Which is the nearest to 1\/4? (a) -3\/4 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2. Let f(h) = -4*h**2 - h - 2. Suppose y - 3*y = -6. Let g be (3\/(-3))\/(y\/(-6)). Suppose r = -r - g. What is r*f(l) - 2*k(l)?\nAnswer: 2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 + 0.4. Let y = -148\/7 + 733\/35. What is the smallest value in x, -0.6, y, -0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g**2. Suppose 5 = -5*p, -2*p + 3*p - 9 = -f. Let u = -13 + f. Let b(y) = -2*y**2. Let k(a) = u*z(a) - 14*b(a). Let d(t) = t. Calculate d(k(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 735\/(-9) - -3*(-3)\/27. Let y = -66 - d. Calculate the greatest common factor of 72 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b\/(b**11\/b)))\/b*b*b)\/((b**(-8)*b*b)\/b*b))**(-13\/6)*(b**0*b**(-4\/11))**(1\/40) assuming b is positive.\nAnswer: b**(-4291\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 171316, 685266, 1541858, 2741098, 4282992, 6167546?\n\"Answer: h**3 + 171315*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.889 and 0.1335?\nAnswer: -3.0556815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 451. Let f(t) = -t - 227. Give -11*f(s) - 6*k(s).\nAnswer: -s - 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8213, 59416, 110609, 161786, 212941, 264068, 315161?\nAnswer: 366214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.457 - 0.45700267. Round i to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13322309926 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -56.1. Let g = -2.1 - j. Let l = g + 13. Does 0 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2580 + -1493. Let y = -667 + p. Calculate the greatest common divisor of 120 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 843450 divided by 168690.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 11*z - 1. Let m = 7 - 16. What is the units digit of r(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1677795044 + 1677792773.997117. Let y = -2270 - f. Round y to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:32 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10899 is divided by 474?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/7 + 1432*y**2\/7 + 470150*y\/7 - 77237500\/7 = 0.\nAnswer: -334, 125, 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 0, 4*l = i - 4. Let c(n) = 35*n**3 - n**2 + 1. Let y be c(l). Let m = y - -40. Calculate the remainder when 14 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(299\/39 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257.73 rounded to the nearest integer?\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, q: 5, v: 1, d: 4, o: 1}. Give prob of sequence qv.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -43\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -298033266680 - -8.1\nAnswer: -298033266671.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*u = 0, -8*u = p - 4*u - 30. What are the prime factors of -5*(-2)\/(p\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*((208*h**2 + 74*h**2 - 4*h**2)*(3*h - 2*h - 3*h) + 3*h**3 - 2*h**3 + 2*h**3) to a + j*h**2 + t*h + v*h**3 and give v.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 270\/(-48)*-1 + (-18)\/(-48). Solve 5*q + 26 = m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 52, 22869, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 66 = 2*g - 40, 0 = -2*c - 2*g - 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -203 - 117. Let g = 155 - j. What is the greatest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**4 + i**2 + i - 1. Let d(b) = 9*b**4 + 13*b**3 + 20*b**2 + 12*b - 4. Let s(k) = 5*a(k) - d(k). Determine g so that s(g) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/2)*u*u)\/(u*u**(1\/27)\/u))\/((u**(-3\/16)\/u)\/(u*u**(-13\/5)\/u)) assuming u is positive.\nAnswer: u**(4429\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -601279132, -601279133, -601279134, -601279135?\n\"Answer: -q - 601279131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8976*g + 2874*g - 2237*g + 12084*g - 2)*(1 - 2 + 3).\nAnswer: 43394*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 - 9*c**2 - 3*c + 7. Let g be y(2). Sort g, -4, 3.\nAnswer: -4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 48*g - 68*g + 66, 0 = -2*g + j - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76810 or 76815?\nAnswer: 76815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4488 and 36?\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 48*w**2. Let p(d) be the second derivative of -d**3\/6 - 66*d. What is s(p(l))?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-11 - -15 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 - 204. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 2803850?\nAnswer: 25234650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 6 + -16 + 15 + -4. Is -2\/7431 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 - 19*f**2 - 36*f - 45. Let i(o) = -o**3 - 4*o**2 - 7*o - 9. Let c(w) = 11*i(w) - 2*r(w). What is the remainder when c(-6) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 12*g**3 + 16*g**4 - 18*g**4 - 15*g**2 + 10*g**3 - g to the form m*g**3 + o*g**2 + q + y*g + l*g**4 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 1\/440103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18909 + 38157. Calculate the highest common factor of q and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7230912 by 6.\nAnswer: -1205152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -12011*m**3 - 6*m**2 - 14*m + 5. Let l(z) = 4004*z**3 + 2*z**2 + 5*z - 2. Let q(j) = -3*b(j) - 8*l(j). Let v be q(-1). Round v to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 12. Let f(q) = 27*q**3 - 3*q**2 + 2*q - 1. Let i be f(1). Suppose -i = -12*t + 7*t. Give d(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jai when three letters picked without replacement from ijjjcicjiiiac?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 3*s - 2. Let l(m) = 720*m**2 + 27*m - 18. Give 45*j(k) - 5*l(k).\nAnswer: -3690*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t**(-18)*t)*t)\/t)\/t**(-3\/2))**(-3\/8))**22 assuming t is positive.\nAnswer: t**(-1221\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 26028?\nAnswer: 1\/26028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 18*p**2 + 318*p + 3264. Calculate u(-10).\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((14 - 4) + (-5 - -10))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let r = 121 - 70. Let l(x) = 15 + 16 - 35*x + 18 - r. Determine y(l(b)).\nAnswer: -70*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwr when three letters picked without replacement from {w: 2, k: 2, x: 1, q: 1, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6071073 decades in months?\nAnswer: 72.852876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 39, 79, 125, 171, 211, 239, 249?\n\"Answer: -m**3 + 12*m**2 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4761, 9523, 14285, 19047, 23809?\n\"Answer: 4762*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 666970.2 nanometers?\nAnswer: 0.0006669702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3259.8 - -3260. What is the closest to 197 in -2\/5, n, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -2b44?\nAnswer: -2b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-54)\/81)\/(2\/381 + 0). Let j = -82 - y. What is the remainder when j is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15436)\/(-6) - (-5)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 17*z**2 + z + 16. Give u(17).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -148, -124, -80, -10, 92?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10010101 (base 2) to base 15\nAnswer: -9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5422835 and -2.\nAnswer: -10845670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 3 - 3 + t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -47*o**2\/2 + 6*o + 55. Is f(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 10 in descending order.\nAnswer: 10, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**8\/392 + 2*s**7\/49 + 23*s**6\/140 - s**5\/7 - 6*s**4\/7 - 2147*s**2. Solve f(n) = 0.\nAnswer: -6, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 911225*y**2 + 2*y - 28*y + 18*y + 911220*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 - 36*i**4 - 667*i**3 - 1762*i**2 + 5664*i - 3200.\nAnswer: (i - 50)*(i - 1)**2*(i + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -152639?\nAnswer: 1679029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3119*m**2*n + 2*m**2 - 2*m*n**4 + 637 wrt n.\nAnswer: 3119*m**2 - 8*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774 = 918*c + 3948 + 1704 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*n = 62, -24*j - 11*j - 39*j + 7*j = -4*n + 863 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2. Let s(c) = 143054*c + 188*c**2 - 143054*c. Give g(s(r)).\nAnswer: -176720*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uou when three letters picked without replacement from ouuuwuwwwuuwwwwoouw?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 610237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**3 - 3*d**3 + 0*d**3)*(37988*d - 6 + 4 + 2 + 1005*d) to the form f*d**3 + l*d**4 + h*d**2 + t*d + i and give l.\nAnswer: 38993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 7*q**2 + 4*q - 11. Calculate l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j - j**2 - 4*j + 8*j - 1 + 6*j**2. Let f be s(2). Solve -f*y - 14 + 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-168236)\/2456 - (-65 + -2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**5 + 3*m**5 + 9*m**5 + (m + 3 - 3*m + 0*m)*(7*m**4 + 129 - 129).\nAnswer: 4*m**5 + 21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289139433*o**4 - 2*o**3*y - 7*o*y + 3*o + 1619*y - 48 wrt o?\nAnswer: -3469673196*o**2 - 12*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 39780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*w + 2152 + 2127, 5*w - 3418 = 4*b. Let r = -26569\/31 - b. Let g = 25\/93 - r. Is g at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 2137\/2 (c) 1\/12 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (0 - (-7 + 1 + -8 + 9))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*j + 16, 4*j + 35 = -0*b + 5*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 1)*(-2 + 2*u - 3*u - u) - 3*u + 0 + 0 + 7*u + 4*u - 3 - 7*u to z + a*u and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1836 = 6753. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 3*i - 77, 5*i = 3*t + 4317 - 4200 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10244465.\nAnswer: 5, 7, 11, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(343) + -1 - -2*sqrt(343)*-2 - -5*(-5 + sqrt(343) + sqrt(343) + 0)) + 5)*6)**2.\nAnswer: -74088*sqrt(7) + 620928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**3 - 3*h**3 + 4*h**3)*(-1 + 1 + h) + h**4 + 5*h**4 - 3*h**4 to o + a*h**2 + z*h**3 + c*h + t*h**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38962 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 5*x = -159*i + 154*i - x + 44, i - 27*x + 52*x - 112 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4400242705?\nAnswer: 5, 193, 4559837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 176 - 9 - 27 = 0. Solve -a = 7*h - 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m. Suppose 4*k - 2 = -2*u, -u - u = 3*k - 1. Let c be z(u). Is 10 a factor of 104\/6 - (-6)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -4.20361\nAnswer: 0.420361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 8, 8*i = -c + 3*i - 8. Is (503 - c\/2) + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/220)\/((-20)\/(-1200)*-258))\/((-66)\/121)?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 z when four letters picked without replacement from {z: 5, k: 15}.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -713\nAnswer: -19\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 126 - 69 = 0. Let a = 64 - f. Suppose -5*p + 4*r + 109 = 0, 15 = 2*p + 2*r - a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*s + 170*s = -15. Let u be (((-36)\/(-98))\/s)\/(152\/1064). Sort -0.2, -0.17, -2\/11, u in decreasing order.\nAnswer: u, -0.17, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*n - 5*n - 279 = 0, 3*n = d - 51. Let a = d + -37. Suppose -265*h + 277*h - 72 = 0. Solve -t + 7 = 4*x, -5*x - h*t = -t - a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64680 divided by -462.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*d**5 - 1118832*d**4 - 2797214*d**3 - 2307736*d**2 - 699318*d - 69932 = 0. What is d?\nAnswer: -1, -1\/4, 34966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 20. Let f = 2 + -2. Let a be f\/1 - (-3 - -2). What is the closest to 0 in -4, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-9)\/(135\/(-110)). Let k = 16 + c. Let m be 4 - (1 + 4 + k). Solve m*l = 4*q - 27, -q - 3*q + 9 = l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(931)*3*3 + sqrt(931) + sqrt(931))*-6)**2.\nAnswer: 11088*sqrt(19) + 4055580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04283694087 to five dps.\nAnswer: -0.04284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 0*m = 48 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*g - 207529982 = -207529998, a - 2*g = -32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -19) + -3 - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*x + 6 + 58*x - 32*x + 92*x in the form t*x + u and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m + 15. Let z(x) = -4*x + 7. Calculate -6*u(r) + 13*z(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-42)\/(-35)*4\/(-270)*-20\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1393793960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -7*c**5\/30 - c**4\/3 - 26*c**3 - 23*c**2 - 3. What is the first derivative of f(z) wrt z?\nAnswer: -28*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**6\/15 + 2353*i**5\/20 + 1459*i**4\/12 + 6504*i. Find the third derivative of u(j) wrt j.\nAnswer: 48*j + 14118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:14 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 1 + s**3 - 5 - 8*s**2 as t*s**3 + r*s + n*s**2 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3339 - -3166.3. Let i = g - -166. Let j = i + 6.7000103. What is j rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(18))**2 + sqrt(8)\/(sqrt(36)\/(sqrt(45)\/sqrt(5))))*-3.\nAnswer: -222 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 + 5*k. Let g(c) = 583*c - 282*c - 287*c - 8*c**2. Suppose -151 - 87 = -17*f. Determine f*r(z) - 5*g(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.24 + -0.24. Let z = -198\/7 - -1563\/56. Let r be (-48)\/(-70) - 2\/7. Which is the closest to 2\/3? (a) t (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 5:20 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35d (base 16) in base 15?\nAnswer: -3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29748371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4cc - -1?\nAnswer: -4cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-180)\/8 + (-3)\/6. Let t = o + 83. What is the highest common divisor of 150 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18567585*0.02\nAnswer: -371351.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tettte. What is prob of picking 3 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 18?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.234 - -3.766. Which is the nearest to 0.1? (a) j (b) -4 (c) 3\/10 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1638)\/(-351))\/((-28)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -316*y**3 - 260*y**2 + 28525*y wrt y.\nAnswer: -1896*y - 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365651217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by -44554.\nAnswer: 112\/22277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:45 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 + 1. Let q be c(1). What is the units digit of (3 - (-2)\/q)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5100 - -17415. Suppose s = 5*j + l, j - 3337 = -4*l + 1185. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103005*d**2 + 15671763*d?\nAnswer: -206010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**6\/720 + s**4\/4 + 4*s. Let i(v) be the third derivative of p(v). Let c(k) = -2*k. What is c(i(r))?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 77?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/4 - (-2)\/(-4). Suppose -8 - 13 = 3*v. Let y be 2\/(3 + v)*-4. Solve s*b = -y - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111*d**2*s**2 + 2*d**2 - 5*d + s**2 - 8691 wrt d.\nAnswer: 222*d*s**2 + 4*d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769*i - 56*i**2 + 48*i**2 - 769*i.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.2 (c) 4 (d) 5 (e) -13\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.5, 115, -84\/23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.025442\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 g when three letters picked without replacement from ybbiyigygyiyyiibygyy?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*n - 9, 66 = 3*g + 4*n + 70. Let r(p) = -p**3 - 10*p**2 - 13*p - 9. Give r(g).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6745349 and 3133.\nAnswer: 6745349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 9. Let d(p) = 0*p**3 - p**2 + 2*p + 1 - 6*p - p**3 + j*p. What is the units digit of d(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 48.7. Let v = z - 11.6. Which is the closest to 0? (a) -2 (b) v (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -495823510254 and 22.2?\nAnswer: 495823510276.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.7 and -0.4.\nAnswer: 11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 6*i**2 - 2*i + 1. Determine g(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2188420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 2*l)*(-204*l**2 + 85*l + 3*l**3 + 126*l**2 + 80*l**2).\nAnswer: -3*l**4 - 2*l**3 - 85*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -281204838*t**2 + 286094797 wrt t.\nAnswer: -562409676*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j**2 - 7*j + 7. Let t(r) = 4*r**2 - 3*r + 3. Let h = 4 + -2. Let o(w) = h*q(w) - 5*t(w). What is o(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 14712780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -23328*c**2 - 243*c + 1458. Let g(l) = 481*l**2 + 5*l - 30. Calculate -486*g(r) - 10*w(r).\nAnswer: -486*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 10 = 5*x, 0 = 3*p + 8*x - 10*x - 9. Let q be (-4)\/6 + (-5)\/(-3). Solve q + p = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-2 + (0 - (-9 + 10)) - -14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2 - 1) + -4)\/(-1). Let q be 15\/(-3)*(-1 - 0). Suppose 0 = -y - d*x + 45, -q*y = -7*y - x + 90. What is the greatest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**25\/t*t*t\/t**(-42)*t**(-14)\/t**(6\/37) assuming t is positive.\nAnswer: t**(1992\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**3 + 153*m**2 - 1440*m - 1596 = 0.\nAnswer: -1, 14, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1139.9589 - -0.0458.\nAnswer: -1139.9131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a + 25 - 25)*(2*a - 5*a + 2*a).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1034, 1029, 1024, 1019?\n\"Answer: -5*k + 1039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 + 14\/1008*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, -2, -10.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 365661200 to the nearest 1000000.\nAnswer: 366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135) + sqrt(135)*5 - sqrt(135) - sqrt(135))\/((sqrt(60)\/sqrt(6))\/sqrt(2)) + 1.\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*m - 33, 0*m = m - 5*r + 23. Let o be 4*1*m\/(28\/2). Determine b so that 0*b - o*b**4 - 6\/7*b**3 + 0 + 4\/7*b**2 + 6\/7*b**5 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3\/8)*d)\/(d*d**(2\/19))*d\/(d*d\/(d\/d**1*d))*d**(-3\/7))**(1\/52))**(-2\/5) assuming d is positive.\nAnswer: d**(967\/138320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**4 - f**4 + 0*f**4)*(-4*f - f + f).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 17. Let h be b(4). Suppose -h*n - 643 = -3*q, -n + 2*n = -2. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s - 1. Let a(m) = 25*m - 103. Let c(q) = 29*q - 120. Let t(r) = 7*a(r) - 6*c(r). What is -b(v) - 5*t(v)?\nAnswer: 3*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (2 - (-2 - -2)). Suppose -x - 3 = -t*x. Solve -b - 12 = x*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w**2 + 3*w**2 + 2*w**2 + 2000*w - 1836*w - 5396*w in the form o + i*w**2 + z*w and give z.\nAnswer: -5232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -33. Suppose -2*v + 2*d + g = 0, -v - 3*d + 1 + 4 = 0. Differentiate 13*k**v + 5 + 1 - 4*k**2 with respect to k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348 divided by -102549.\nAnswer: -116\/34183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*g = -1884, -u = 2*u - 2*g - 2848. Is u\/6 + 2\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:36 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 10*q**2 - 9*q - 2. Let b be u(9). Put 3, b, -1 in ascending order.\nAnswer: b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.529689s in nanoseconds?\nAnswer: 529689000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 32 = -2*t, -75*t + 86 = -70*t - 4*m for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/2 + w**3\/2 + 3*w. Let p(x) = -1494*x**2 + 5975*x**2 - 1492*x**2 - 1493*x**2 - 1494*x**2. Give p(o(s)).\nAnswer: 72*s**4 + 72*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 11. Suppose -4 = -h - m, -m = -0*m + 4. Let p be j(h). Solve -p*n + 6 = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (0 + 3)) + -7 + 5 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102447125 + 925332.\nAnswer: -101521793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5 - -2) + 2)*0. Let o be (24\/(u + 2))\/2. What is the third derivative of -16*g**4 + o*g**4 - 60*g**2 + 56*g**2 wrt g?\nAnswer: -240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/3 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 5, 1, 3.\nAnswer: -7, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28743 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 5 - 5)*(3041*g + g**3 - 1388*g**2 - 3041*g).\nAnswer: g**5 - 1388*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 105394282 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 137.4 to the nearest integer.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/9)\/(1\/3). Let x = v + 4. Solve -o = -x*k - 5*o + 14, -2*o + 6 = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44195564\/(-900) + 15\/25. Let j = o - -49106. Let w = j + -16\/25. Which is the third smallest value? (a) -3\/4 (b) w (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59542 + 26042 = -24*d. Let t = -1205 - d. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1152 * -0.9318.\nAnswer: -1073.4336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1450441513 - 5?\nAnswer: -1450441521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - (-82 + -118 + 74)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*z**2 + 1\/3 + 1\/6*z.\nAnswer: -(z - 2)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 557 - 553. Sort u, -54, -5 in decreasing order.\nAnswer: u, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 49301779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -385+0.009769046\nAnswer: -384.990230954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yfyyf.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4353993 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45, 33, 21?\n\"Answer: -12*c + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8031.88033 + 8032. Round b to 3 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 greater than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Suppose 0 = -2*b - b - 2*f + 38, -u*f = 10. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 6)*(-12*f - 9*f + 8*f)*(-2*f + 3*f - 3*f) to o + x*f**2 + v*f and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-18) + (-31562)\/104. Let x = 304 + t. Let g = 43\/156 - x. Find the common denominator of -1\/27 and g.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691530 divided by -46102?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298296.\nAnswer: 2, 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*q - 3 + 20, 0 = -2*h + 4*q + 32. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i - 48. Let p(r) = r + 1. What is -f(n) + 3*p(n)?\nAnswer: -10*n + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*j - 139 = 4*j, -5*q = 4*j - 671. Is 12 a factor of -132*(q\/(-10))\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 289, -1, 76064 in decreasing order.\nAnswer: 76064, 289, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((8890\/12800)\/(-7))\/(0 - (-18)\/15) and 61\/20.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -1\/4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/25)*(i\/(i*i\/(i**(-13\/2)*i)))\/i*(i*i**(4\/31))\/i**(-4\/15) assuming i is positive.\nAnswer: i**(-28757\/4650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 6250740130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*f - f. Let i(l) = -l**3 - l**2 + 20. Let g be -3 - 2*3\/(-2). What is the remainder when i(g) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k - 319 + 55 - 11*k + 19 to d*k + v and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -260, -259, -258, -257, -256?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 5. Let a be d(-10). Find the common denominator of ((-33)\/75)\/((-4)\/a) and 37\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -100858\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246155*f**3*l**2 - 412*f**3 + 3*f**2 - 145*f + 2*l**2 + 1 wrt l?\nAnswer: -492310*f**3*l + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 7. Let h(r) = -8 + 27 - 2 - 2*r**2 - 18 + 13*r + 4*r**2. Let t be h(v). Which is smaller: -6 or t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**3 + 4*b**2 + 80*b = 0.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 16090 + 1285 = 0. List the prime factors of o.\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7471 and -0.22314888?\nAnswer: 0.52395112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 + x**2 - x - 18*x**2 - 51*x**2 + x + 78*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.213 + -3.2. What is r rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*d - 42 = 0, -q - 2*q + d = -29. Is q <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3 - (-1 - -4)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 18 = d, 43 - 23 = 5*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73\/2 + -39. Let m(c) = -63*c**3 - c**2 + 1. Let j be m(-1). Let a be 10\/j + (-6)\/(-21). What is the closest to 0 in 1, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 150235 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(140) + (sqrt(140)*1 - sqrt(140) - sqrt(140)))\/sqrt(5) + -1 + sqrt(4032))**2.\nAnswer: -96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 14*f**2 + 18*f - 17. Give h(10).\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367085 is divided by 874.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w**4 - 3680*w**3\/3 - 59696*w**2\/9 - 88832*w\/9 - 35840\/9 = 0 for w.\nAnswer: -8, -70\/51, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-7 + 0 - (-2 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (44 - 121) + 30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b = 26*b - 8*b - 13 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 229*y - 1286. Calculate r(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218\/1217043 or 0?\nAnswer: -218\/1217043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 23.5. Let j(x) = x**3 + 6*x**2 + 4*x - 5. Let o be j(-5). What is the third smallest value in o, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/13, -1\/6, -0.31944?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/86 and -17\/599766.\nAnswer: 25789938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*s. Let v be ((-2)\/(-1))\/8 - s. Let o = -3\/8 + v. Which is the closest to -3? (a) o (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.624, -0.05, 0.02, -4, -0.2 in ascending order.\nAnswer: -4, -0.2, -0.05, 0.02, 0.624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 198 - 428 = 0. Suppose -2*b - 4*h + 18 = -0*h, -4*b - h = -36. Suppose 4*z = b*z - 60. What is the remainder when f is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33044 divided by -4\nAnswer: -8261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90591?\nAnswer: 3, 30197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 12. Is 127\/(a\/(-3 - 0)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4246919 is divided by 251?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x + 25*x = 222 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 13.36417 millimeters?\nAnswer: 0.00001336417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.33 - 4.67. Which is the closest to 0.2? (a) -5\/2 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 + 133. Calculate the least common multiple of 8 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.2. Let v = 14 - 12. What is the second smallest value in 0.4, v, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1))**9)**18)**(2\/71))**36 assuming x is positive.\nAnswer: x**(-11664\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/9)*c*c*c**(3\/4)*c*c*((c\/c**3)\/c*c)\/c*c*c*c*(c*(c\/c**(-1\/4))\/c*c)\/c*c)**(-9\/4) assuming c is positive.\nAnswer: c**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002143064 to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4.2, -51, -0.045, -0.1 in increasing order.\nAnswer: -51, -4.2, -0.1, -0.045, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u - 19. Let y(i) = -174*i - 20. Let f(s) = -77*s - 10. Let d(k) = -9*f(k) + 4*y(k). What is -9*d(c) - 4*o(c)?\nAnswer: -c - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45159197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3801 = -3*f - u, 4*f - 5068 = -2*u. Suppose 3*r - 4*r + f = 0. Suppose 0*b - 263 = -a + 5*b, 5*a = b + r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*s - 14, 3*o + 22*s - 17*s = -2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-206)\/14 + (-70)\/245. Let o be 0\/(-5*3\/k). Factor 2\/7*r**3 + 12\/7*r**2 + o + 0*r.\nAnswer: 2*r**2*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133205 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 + -14 - -51) + 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**2 - n - 4. Let z(y) = -2*y**2 + 2*y**2 + 3*y**2 - 2*y**2. Let k(l) = j(l) + 6*z(l). Determine k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.11 + -0.11. Let k = -8.6 - -9. What is the second smallest value in k, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63319 rounded to two dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 139732 rounded to the nearest one thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2) + 8 - 4. Solve 0 = -4*v - t*x - 15, 6*x - 2*x = -12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 17*d - 3*d**2 + 4*d**2 - 4*d**2 + 23*d**2 - 14*d**2 + (-2 + d + 2)*(2*d + 2*d - 6*d) to the form y*d + k*d**2 + b and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 76. Let r be (n\/10)\/1*-5. Suppose -r*o + 8*o + 49000 = 0. Round o to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/9 + 41 - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 + 0*h**4 - 9*h**4)*(4 + 0 - 5).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 11:03 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-158)\/(-24) + ((-187)\/(-51) - 5). Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:16 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 54037 = 5*t, -2*s - 27*t + 27029 = -28*t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 154*x + 2784. Calculate the lowest common multiple of 2166 and a(-18).\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + 53. Let h be k(-10). Let a be h\/21*7*1\/3. Let g = 37\/7 - 41\/7. Is g > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.014265 + -1599.\nAnswer: -1601.014265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**11)*o)**(3\/25) assuming o is positive.\nAnswer: o**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 6*z - 1. Let p be c(-4). Let u(h) = h**2 - 8*h + 10. Let g be u(p). Let s(v) = v + 2. Let n be s(-6). Put n, 2, g in decreasing order.\nAnswer: g, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2556*q - 2556*q + 9*q**3 + (2*q**3 - 2*q**3 + 2*q**3)*(-1 + 4 - 2).\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 940 - 907.9. Let w = h + -7.2. Round w to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 8*j - 115 + 15. Which is greater: j or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -836 + 1124. Is 1155\/4 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 244, -108, -412, -668?\n\"Answer: 24*w**2 - 424*w + 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/10 (b) 8 (c) 0.5 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 8 - ((1 - 6) + 35) - -7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-120))\/(21\/(-2856))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31468457 and 1.665643.\nAnswer: -31468455.334357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -321 - -447. Let n(s) = 250 - u - 124 - 21*s. Let b(m) = m**2. Give b(n(p)).\nAnswer: 441*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/13))\/w)**8 assuming w is positive.\nAnswer: w**(8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(432)*4 + 0 - -4*(sqrt(432) + 4*-1*sqrt(432) + sqrt(432))**2.\nAnswer: 48*sqrt(3) + 6910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 2\/89?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*(-86)\/(-21). Let h = -1178 + 1171. Which is bigger: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13608 - 408283\/30. Find the common denominator of k and 41\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 9*a + 10. Let i be r(5). Let s = 49 - i. What is the remainder when s is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-20)\/24)\/(81\/(-162)). Which is the closest to 1? (a) -25 (b) 5 (c) 1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41826, 169174, 382042, 680430, 1064338?\nAnswer: 1533766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17158?\nAnswer: 2, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q + 135. Determine x(9).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 o, and 1 c when four letters picked without replacement from yocyyoycccyycyc?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 97, -2\/9, 285.25?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/5 + 1 + 4\/12. What is the closest to z in -3, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 + 3*t**4 - 42*t**3 - 84*t**2 + 24*t + 96 = 0. What is t?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from udvcdcudvvdddddv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21593 - 2353 + 2246 + 2*j**2.\nAnswer: 2*j**2 - 21700","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4920 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 5*s + 11475*i = 11469*i - 39, -2*s + 2*i + 2 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -9*420\/270.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - c + 1)*(c + 2*c**2 - c) - c - c**3 + c + 7 + 7 - 8*c**3 - 10.\nAnswer: -11*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438*d**5 - 525*d**3 - 3878557*d wrt d?\nAnswer: 8760*d**3 - 3150*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 2*p - 4*d, d = 1. Suppose -2*z = p*z - 80. Is 10 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*b + 28, 5*t + 35 = -29*b + 28*b for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1109 (base 14) to base 7\nAnswer: 11412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m**4 + 4*m**3 - 43*m**2 - 729 - 41*m**2 - 1269 + 100*m**2 wrt m?\nAnswer: 12*m**3 + 12*m**2 + 32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2792, -2787, -2780, -2771, -2760, -2747?\n\"Answer: g**2 + 2*g - 2795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 869157198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 30472.\nAnswer: 60944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -5. Let i = -73 + 73. Which is the nearest to i? (a) 0 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6503.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 + 5697 = 8*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 = -5*h, -h - x = 3*h - 3. Let t be h + -2 + 13 + 4. Calculate the greatest common factor of 135 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.2 + 0.2. Which is the third biggest value? (a) u (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = -16. Let z(u) = 18 + 5*u - 6*u - 4. Calculate the least common multiple of z(6) and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 675 - 671. Suppose -38*v**4 + v**s + 40*v**4 + 12*v**2 + 15*v**3 = 0. What is v?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70690 - 70654. Calculate the remainder when (-4)\/(-2) - (-143 + 2) is divided by f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, r: 5}. What is prob of sequence rqr?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 280*k**3 - 5428*k**2 + 18480*k - 17424.\nAnswer: -4*(k - 33)**2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 17. Let m be n(14). Let y be m\/(9\/(-12)) - 945. Let l = 1830 - y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -250.192995 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 224 + -219 + (-141 - 0).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6304?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-87)\/(-27) - 6\/27. Suppose g*k + k + 12 = 2*r, 5*k = -3*r - 4. Is (-9845)\/(-66) + r\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, l: 10}. What is prob of sequence llfl?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 - 18 + 10)*(0*s**2 + 7*s**2 - 2*s**2) to the form d*s**2 + j + l*s and give d.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 695 + 8?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:55 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + g - 3*g + (-1356*g + 2801*g - 1852*g)*(4 + 3 + 4))*(g**2 + 4*g**2 - 4*g**2) to w*g**3 + m + p*g**2 + k*g and give w.\nAnswer: -4476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.099 (b) 0.6 (c) -3\/4 (d) 1351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2460*x**4 + 2043?\nAnswer: -9840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92395.\nAnswer: 5, 17, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38192, -41642, -45092, -48542, -51992, -55442?\nAnswer: -58892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321894?\nAnswer: 2, 7, 94421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76777*v**3 - 43*v**2 + 85*v - 2.\nAnswer: -460662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 4*b - 5. Let u be -11 - -10 - (-4 + 0). Let k = -1 - u. Let o be ((-6)\/k)\/((-9)\/(-24)). Determine d(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 + -160. Suppose m = -3*i + 25. Solve 0 = 3*b + 6, 5*a = 3*b + 5 + i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 325\/764837?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-3)\/72*-4). Let s be -1 - (1*-2 + 0). Is s\/(j\/(-9))*8 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 8. Let r be o(-4). Suppose r = -2*s + 14 + 4. What is the remainder when 26 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75931 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93533 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**5\/9 + 25*o**4\/9 - 46*o**3 + 1082*o**2\/9 - 1027*o\/9 + 37 = 0.\nAnswer: -37, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (6 + -5 + -8)) + 5 + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*w = 224727 - 21692 - 3759. Calculate the lowest common multiple of w and 40.\nAnswer: 25880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 1)*(3*u**4 + 167*u + 647264*u**3 - 647264*u**3) as d*u + j*u**4 + k*u**3 + i*u**2 + z and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36a22 (base 11) to base 2\nAnswer: 1100111110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38787 is divided by 38732.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 313 and 2809\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 4*c. Suppose -2*o = -3*o + c. Calculate the highest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/60 - r**4\/24 + 79*r**3\/6 + 2*r**2. Is a(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415849 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 2270974134.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5504 (b) -3 (c) 1 (d) -2\/5 (e) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22278 - -44605\/2. Let b(n) be the first derivative of 21 + 7\/2*n**2 + l*n + 1\/6*n**3. Factor b(w).\nAnswer: (w + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011 - -1111000?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 51*b + 1459. Give x(-29).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14238 - 9973. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxaxxaaxxxxxxa. Give prob of picking 3 x.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**6\/60 - g**5\/60 + g**4\/24 + g**3\/6 + 10*g**2. Calculate d(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = 4*p, -q + 2 = 4*p - 3*q. Let v = p - -6. Let y be 39\/15 - v\/(-10). Solve y*f - 2*k + 8 = f, -5*f = -4*k + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1221, -1319, -1481, -1707, -1997, -2351?\nAnswer: -2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/15 and -49\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -3*t + 270. Let v = 28 - t. Let z(o) = o**2 - 2*o. Give z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13902 - 13863. Calculate the highest common factor of 6747 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 + 240 + 12146*i**2 - 45.\nAnswer: 12146*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0*u**5 + 3\/112*u**8 + 0 - 1\/3*u**4 + 0*u**6 + 0*u + 0*u**3 + 0*u**7 - 3*u**2. What is the second derivative of f(v) wrt v?\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - (-42)\/9)*-27. What is the greatest common factor of c and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 2382471?\nAnswer: 2382471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1806, -3606, -5396, -7170, -8922, -10646, -12336, -13986?\nAnswer: -15590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7095*y**2 - 63855*y + 27. Calculate f(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214 or -2518?\nAnswer: -2518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37663.57 litres in millilitres?\nAnswer: 37663570","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -44, -85, -142?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 m when four letters picked without replacement from {m: 5, u: 3, f: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = i - 3*i. What is the least common multiple of i and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 23*n**2 - 8*n - 26. What is the units digit of g(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11200 (base 7) to base 10.\nAnswer: -2842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j. Let s(v) = 5*v - 74 - 149 + 234. What is s(r(i))?\nAnswer: -15*i + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 4*t + 4*g - 19, 2*t - 12 = -2*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 4. Let d be (4\/3)\/(-2 - (-32)\/24). Let y(n) = n - 1. Give d*g(w) - 6*y(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1155887*s + 1155888*s - 38 = x, 3*x = -4*s - 86 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z**3 - 10*z**4 - 3*z**2 + 0*z**2 + 8*z**4)*(-2 + 1 - 1) to i*z + f*z**2 + x*z**4 + c*z**3 + k and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**2\/4 + 9*q\/2 + 8 = 0.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36173358*s**3 - 24450624*s**2 + 2913870*s\/13 - 6724\/13 = 0. What is s?\nAnswer: 41\/8853, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*s**6 + 4*k*s**2 - 73*s**6 + 7*s**2 wrt s?\nAnswer: 120*k*s**3 - 8760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - p + 210. Let k be c(10). Suppose 1\/3*u**2 + k - 2\/3*u = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 731 and 0.19?\nAnswer: 730.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2 - 1 + 0 - z. Let i(m) = m**3 + 4*m**2 + 2*m + 4. Let k be 12\/8 + 2\/4. Let y(b) = k*l(b) - i(b). Calculate y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5919633.3085+76\nAnswer: 5919709.3085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4*k - 7. Determine i(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g - 44*g - 4*c = 6, -7 = -g + 4*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2355? (a) 0 (b) -1 (c) 2 (d) -934\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -201 + 24*x + 401 - 233. Suppose 0 = -3*t - 12, 2*p + 9 = 3*p - t. List the prime factors of b(p).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 65, 114, 163, 212, 261?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35803754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*r + 522 = -211*r + 2945 + 1167 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 10. Suppose o*f + f = 5*j - 15, 4*j - 14 = 2*f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 992.5048 nanometers to meters.\nAnswer: 0.0000009925048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8706*l + 8674*l + 742048. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-9))**(-2\/53)*(((a\/((a\/a**(-5\/6))\/a))\/a)\/a*a)**(2\/23) assuming a is positive.\nAnswer: a**(-1645\/3657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143\/784 + 1\/196. Let m = 3667111\/30 - 122238. Find the common denominator of b and m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*11*(-78)\/(-715)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1221, 22, -1, 4 in descending order.\nAnswer: 22, 4, -1, -1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 526 - 503. Solve -l - v + 28 = -2*a, 4*a - 3*l + 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 78 = -10*i. Let q be -4*i\/(-96)*212. Are q and -54 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4559632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418326?\nAnswer: 2, 3, 113, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*o + 13*o - 9*o + 2*o)*(o + 10*o - 6*o)*(-25 + 17 - 40) to the form u + n*o + x*o**2 and give x.\nAnswer: -5280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 621201580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -185, 5, -4, -1, 119 in increasing order.\nAnswer: -185, -4, -1, 2, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 3 in descending order.\nAnswer: 3, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 261*w**3 + w**2 - 2*w + 2. Let y be q(1). Suppose -4 = 8*k - 9*k, 3*k = -5*i + y. What is the greatest common divisor of i and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 7\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337411998?\nAnswer: 2, 3, 7, 11, 31, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 10816*n**5\/5 + 11440*n**4\/3 + 422*n**3 + 18*n**2 + 642*n. Factor d(k).\nAnswer: 4*(k + 1)*(104*k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 13*l**5\/10 + 310*l**2. Let o(t) = 4*t**2. Calculate w(o(g)).\nAnswer: 1248*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 13*d**5\/12 + d**4\/24 - d**3 - 37*d**2. What is the second derivative of t(a) wrt a?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.4056276 nanometers?\nAnswer: 0.0000000000004056276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**7\/504 + u**5\/40 - u**4\/4 - u**2. Let z(p) be the second derivative of a(p). Differentiate z(r) with respect to r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2281, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**7\/42 + 8*n**6\/15 + 4*n**5 + 32*n**4\/3 + 19*n - 2. Determine b so that m(b) = 0.\nAnswer: -8, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from qwywjecec.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(704) + -2)**2.\nAnswer: -16*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 65 = n. Is 1\/3 - n\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 22*n - 225. Let i be f(-3). Is -293 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - -5a79?\nAnswer: 5a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -565.9002 and -2.3?\nAnswer: 1301.57046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29594774*d + 187*d**2 - 29594774*d + 5983 wrt d?\nAnswer: 374*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w + 2*t - 11 = 0, 4*t = -3*w + 15. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 + -148. Put 0, -26, -3, v in increasing order.\nAnswer: -26, -3, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.23 + 0.23. What is the smallest value in z, 1, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2144\/(-712) - -3)\/(3\/6).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 578*m - 161844. Determine r(280).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/3 + 20*a - 136\/3.\nAnswer: 4*(a - 2)*(a + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**4\/28 - b**3\/7 + 3*b**2\/14 - 15*b. Factor m(j).\nAnswer: 3*(j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 2 + 6 + (-2 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2118.\nAnswer: 1\/1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*6\/20)\/(13\/26). What is the smallest value in 0.2, f, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 13*l**2 + 156*l + 90. What is the remainder when t(-22) is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1999 by -6.\nAnswer: -1999\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(1 - 1 - 2*a) + (-3*a + 3*a + 3*a)*(3 - 4 + 3) + (-1 - 1 + 1)*(3*a - 2*a - 2*a) + (0*a - 2*a - 4*a)*(-1 - 1 - 2) + 0*a + 0*a - a.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 3*z. Suppose -z*b - 4*k + 24 = 0, k + 18 = 4*b + 2*k. Suppose 29 + 55 = b*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5\/7, 0.4, -46?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5 + (15 - 8) + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.9 and -1268.2319.\nAnswer: -4946.10441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -145\/5247006 or -1?\nAnswer: -145\/5247006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1967 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -1 (c) 0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 29436*j**2 + 350*j - 9288. Let v(y) = -2453*y**2 - 28*y + 774. Let n(h) = -2*o(h) - 25*v(h). Differentiate n(g) wrt g.\nAnswer: 4906*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 k when three letters picked without replacement from hhhkhhhh.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l**3 - 8*l**3 + 7*l**3 + (-4*l**2 + l**2 + 4*l**2)*(l - l - 2*l) to the form d*l + o*l**3 + c*l**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/11))\/c**(-1))**(-1\/2))**46 assuming c is positive.\nAnswer: c**(-552\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*j - 5*m, 4*m - 21 + 9 = -4*j. Let o be ((-21)\/196)\/(3*j\/(-60)). Which is greater: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 82*b**2 + 252*b + 7. What is the tens digit of g(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*h - 15*h**3 - h**4 - 2*h**4 - 33*h wrt h?\nAnswer: -36*h**2 - 90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.043383473 rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (3 + -4 + 5 - (-1 - -3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 14*z**2 + 4*z**2 - 5 - 5*z**2 - 30*z**2 as v*z**2 + x*z + m and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*a - 13 + 1 = 5*w - 356*a + 177*a - 0, -20 = w + 5*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.3 greater than or equal to 7.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1561 + 2268. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - 3*l**3 + l**3 + (2*l + 2*l**3 - 2*l)*(78 - 42 + 71) + 0 + 0 - 2*l**3 - 4*l**2 + 4*l**2 + 8*l**3 to d*l + m*l**3 + y + q*l**2 and give m.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-96)\/256)\/(15\/32). Suppose 3*d + 0*d = 0. Let a be 4\/6 - 7\/6. What is the closest to d in a, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/563400 and 13\/300?\nAnswer: 563400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*g - 230 + 511 = -375 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2320500 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*b = 0. Suppose -3*c - v + 3 = b, 2*v - 2 = -0*c - 4*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(252) - (-1*(sqrt(252) - (2 + sqrt(252) + sqrt(252))))**2).\nAnswer: 36*sqrt(7) + 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1075990780, 1075990778, 1075990776, 1075990774?\nAnswer: 1075990772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1325 divided by -5.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 15, i: 4}. Give prob of picking 3 r.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-4 + 3)*-3. Find the second derivative of -34*o - 64*o**n - 37*o - 9*o**3 wrt o.\nAnswer: -438*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*c - 0*c. Suppose 2*o - 29 = -1. Suppose 0 = o*k - 39 - 17. Sort 5, c, 23, k in decreasing order.\nAnswer: 23, 5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -14 (b) -4\/3 (c) 2\/5 (d) 4 (e) -0.01 (f) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*y - 0, y + 1 = z. Let n be 1 + z + 15\/5. Let r(h) = 2*h**3 - 6*h**2 - h + 5. Is r(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1204, -28, 2.\nAnswer: -1204, -28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 407694007.195 - 35?\nAnswer: 407693972.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137409*c + 137383*c - 549575*c + 137390*c + 137395*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-2*-4 - (1 + sqrt(176)*-1))**2 + 2 + (sqrt(176) - (-1 + sqrt(176) + -1))**2 + sqrt(176).\nAnswer: -68*sqrt(11) + 14263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1497*c - 754*c - 1457*c + 533*c.\nAnswer: -3175*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y**2. Let t = -10 - -15. Let i(g) be the first derivative of -t + 1\/2*g**2 + 0*g. Calculate a(i(c)).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2732566160 and 12560?\nAnswer: 12560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.307 + -1.693. Let p = 3\/44 - -2\/11. Let n = 3 - 2. Which is the third smallest value? (a) p (b) t (c) -4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1694251, 1694270, 1694293, 1694320, 1694351, 1694386, 1694425?\nAnswer: 1694468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4264, 31640, 59006, 86356, 113684, 140984?\n\"Answer: -x**3 + x**2 + 27380*x - 23116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6917*c**3 + 467*c**2 + c + 1 wrt c.\nAnswer: -41502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 31 + 5. Calculate the lowest common multiple of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -26828, -3.\nAnswer: -26828, -9, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93152019 rounded to 2 dps?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170 + 164. Is 64 a factor of (-765)\/b + 16\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*d**2 + 0 + d**2)*(-12*d**3 + 49*d**3 + 5*d**3).\nAnswer: 168*d**5 - 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u**2 + 6*u - 6*u)*(-3 + 4 - 5).\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3536*s - 51*s**2 + 4*s**3 + 3536*s in the form p*s + d*s**2 + j*s**3 + u and give d.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4\/(k*(k*k**(-5)*k)\/k))\/(k**(-2)\/k)**(-7))**(-6\/11) assuming k is positive.\nAnswer: k**(84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from xyxyxxx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-4 - -2) + 1 + -1571 + 1570.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2))\/(6 + 91\/(-14)). Let f = 4 + c. Solve p - 2*p = -f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -13 + -3 - (2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -71\/4. Suppose -j = -0*j + 2, -3*w - j + 28 = 0. Suppose -7*a - 11 = w. What is the nearest to -2 in n, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 318.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778376348.\nAnswer: 2, 17, 61, 187651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54145 - 201?\nAnswer: 53544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -653.52 + 394.52. Which is the nearest to -0.11? (a) f (b) 0.1 (c) -2\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149786233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -184.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.408 + 0.008. Let t = -15.39 - x. Which is greater: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -10. Let s = x + -11. Solve 4*b - 24 = -p, -5 = s*p - 3*b + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11883525 * 1\nAnswer: -11883525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126638*g*p - 44*g*z**2 + 53*g*z + p*z**2 + 2*z**2 wrt p.\nAnswer: -126638*g + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 10. Suppose 4*v = l*v - 2. Solve 3*f - 3*i + 10 = 40, -v*i + 5 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-10 + (-420)\/(-40)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 52 = 3*f + 5*a, 0 = 5*f + 4*a - 65. Let l = f + -5. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 282021159 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 68.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -971*r**2 + 39*r - 2. Let t(x) = -323*x**2 + 14*x - 1. Give -4*h(s) + 11*t(s).\nAnswer: 331*s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 38456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-6)\/(-3)*(-8)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + y + 46 = 41, -4*z = -y - 14. Let f be (-1 - (-5)\/3)*3. Solve z*l = 7 + f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 0.941.\nAnswer: -0.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*77\/56)\/(3\/(-6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80546, -664878, -2250922, -5339534, -10431570?\nAnswer: -18027886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 2\/7 (c) -4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3871\/16 - -1983\/8. Let v = 57 - 13. Find the common denominator of 3\/v*474\/9 and d.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3287.98 - 3288. Sort -3, -1\/2, s, -0.2.\nAnswer: -3, -1\/2, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -4909\nAnswer: -981.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 + -0.22. Sort 2\/11, 3, p, 2 in descending order.\nAnswer: 3, 2, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 514235 and 713.\nAnswer: 366649555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (96\/40 - 2)*1*5. Suppose 9 - 55 = -y*p. What is the first derivative of 21 + p*x + 24 - 56 wrt x?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40173, 80455, 120737, 161019, 201301?\n\"Answer: 40282*j - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 59*a**2 + 188*a + 156. Let q be j(-62). What is the highest common factor of 1184 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**2 - 8*d - 26. Let o be z(-9). Let q(a) = 13 - 931*a - 13 + o*a. Let g(x) = x. What is q(g(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l*l)\/l**6)\/(l**(-1)\/(l*l**(2\/7)\/l)) assuming l is positive.\nAnswer: l**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 4*f - g = -21, -4*f + g = -27. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2\/5*t**2 - 868\/5*t - 1744\/5 = 0?\nAnswer: -2, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/441*196\/70?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 27, 66, 121?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*v - 14 = 0, 0*v - 12 = -4*i - 4*v. Suppose i*w - 3 = 12. Solve 0 = w*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 0.174?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(13)*-1 + 4)**2.\nAnswer: -40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1597*w + 25031. Determine t(16).\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52.96 - 53. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(6\/(-351)*-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-130)\/(-36)))\/(16\/(-104))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*x + 6. Let v be 2\/2 + (x - 5). Does 9 divide (-2)\/(3\/(45\/v))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Let l = 0.3 - 0.1. Which is the nearest to -2\/5? (a) l (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2987 or -1292?\nAnswer: -1292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 17. Let d = -1 - -2. Calculate the remainder when n is divided by 12\/d + (0 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2767 + 2767. Solve f = -8*z + 25 - 89 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 68. Put -0.09, -1, 0.2, m in increasing order.\nAnswer: -1, -0.09, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12824a6 (base 11) to base 2\nAnswer: -1000011100100010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -183187 >= -183186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {w: 11, v: 4, b: 1, k: 1, n: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1102 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.189 (b) 4 (c) -0.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/90*-5*1*18\/(-15876)*-14\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/14)\/a*a**3\/a*a**7*a*a**(-7))\/(((a*a**(-1\/2))\/a)\/(a\/(a**(-2)*a)*a*a)*(a**(-1))**(-9\/2)) assuming a is positive.\nAnswer: a**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 6. Let h be m(6). Let i(p) = -2 + 13*p + 7*p - 22*p + 56. Let y be i(22). Solve y = -h*z - 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (262\/(-786))\/(2\/(-30) - 0). Solve 6*i + 4 = f + 3*i, f + 20 = -j*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11854 + 24358 = -2*h - 5*r, -h + 2*r - 18115 = 0. Let y be h\/216 - (-2)\/9. Let v = y + 84. Which is the smallest value? (a) v (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeeeoeeoeoeeeeeeeoee. What is prob of picking 3 e and 1 o?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -3132757.\nAnswer: 15663785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 2, z: 1, r: 1, t: 1, p: 1}. What is prob of sequence yqt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {l: 4, p: 1, a: 1, o: 1, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*b. Suppose -3*o + b*f = -f - 8, 5*o = -3*f + 18. Suppose -4 = p - 5. Sort p, o, -5 in decreasing order.\nAnswer: o, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2459615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 199132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + (sqrt(99) - sqrt(99)*-1))**2 - (sqrt(99) + -1*(-1 + sqrt(99)))**2).\nAnswer: -48*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 108 = 21*b + 86 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1261719?\nAnswer: -1\/1261719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 2 + -6 - 1365\/(-38 - -17).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 w when four letters picked without replacement from wgtwgtgwwwbw?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + 3. Let u be 9\/h*4\/6. Suppose 13*v - 9*v = 32. Solve m = u*m + v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 77*f**3 + f**2 - 2*f + 2. Calculate the remainder when j(1) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11470.\nAnswer: 2, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085145733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32022 - 0?\nAnswer: 32022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -24 + 16 - (-1 - -1) - 38) + -6?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63584, -63621, -63682, -63767, -63876, -64009?\nAnswer: -64166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 + -145. Let g be (152\/(-10))\/((-10)\/75). List the prime factors of ((g\/4)\/3)\/(p\/(-4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 x, and 1 j when four letters picked without replacement from bkxbpxbjpxxx.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47 and -409097?\nAnswer: -19227559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 115, 332, 747, 1426?\n\"Answer: 11*t**3 + 8*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -75332, -301215, -677686, -1204745, -1882392, -2710627?\n\"Answer: -75294*m**2 - m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-312)*(-7)\/((-315)\/(-72))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*n - 4, x - 2 = -n - 3. Let o = 5 - n. Solve -2*p + 4*g - 22 = 0, g - 15 = 2*p - o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8589360 and 1230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*q - 166 = 0, -5*q = 3*o - 7*o + 727. Find the second derivative of -1 - o*c + 159*c + 1 - 37*c**4 wrt c.\nAnswer: -444*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u + 408 = 0. What is the remainder when u is divided by 99?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835029011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 13*w**2 + 18*w + 7. Let n be p(-7). Suppose -n = -18*c + 59. Calculate the remainder when 35 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 25 = -c, -m - 5 = 2*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 10:04 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23311 - -333430?\nAnswer: 401141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/20 + 42*s**2. Let o(f) = 26*f**2. What is h(o(l))?\nAnswer: -2028*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 661654313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/2 - 1059*x**3\/2 + 85269*x**2\/2 - 167373*x\/2 + 41580 = 0. Calculate x.\nAnswer: 1, 120, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 446 + 1746 = -141*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 - 10*d - 21. Let q be s(-3). Suppose a - 115 - 155 = 0. Suppose 0 = 2*z - 5*z + a. What is the highest common divisor of z and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756652 is divided by 3083.\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 484, 1088, 1934, 3022, 4352, 5924?\nAnswer: 7738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -473143.258 rounded to the nearest 100?\nAnswer: -473100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j + 3. Let z = -4425 + 4424. Let b(k) = k. Give z*w(p) + 2*b(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.668519 millilitres to litres.\nAnswer: 0.005668519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90794, 181669, 272726, 364055, 455746, 547889?\n\"Answer: 15*x**3 + x**2 + 90767*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + -12.1. Let j = -10 - p. Let t = j + -3.7. Put 0.1, 6\/17, t in increasing order.\nAnswer: 0.1, t, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**8\/560 - t**5\/120 + t**3\/3 - 4. Let g(q) be the third derivative of s(q). What is the second derivative of g(p) wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 20, 10, -18, -70, -152?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -19\/2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 493331*t**3 + 8*t**2 - 8*t + 15. Suppose -3*g - 16 = -5*u - 1, -5*g + 6 = 2*u. Let y be m(u). Round y to the nearest one hundred thousand.\nAnswer: 13300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. What is the closest to -0.2 in 4, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*c**2 + 0*c + 0*c - 8 - 13*c**2 - 24*c**2 as x*c**2 + n*c + p and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - w**2 + 5*w**2 + (0*w + 2*w - 3*w)*(w - w - w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45092 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -600059*i**4 + 809449 wrt i.\nAnswer: -2400236*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7349\/1530 - -1\/306. Let z = 10339\/2992 - 3\/2992. What is the common denominator of z and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.64 + 72.64. Let i = 71.99999548 - v. Round i to seven decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*p = -p + 10, 0 = i + 3*p. Let a = -3 - i. Suppose 3*c - 2*k - 28500000 = 0, 2*c + 9500000 = 3*c + a*k. Round c to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757.\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 - 616*k + 616*k)*(-15*k - 25*k - 18*k).\nAnswer: 116*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*h + 66 = -2*h, -5*h = -3*s + 51. Let u = s - 7. Solve -u*i = -4*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1343 (base 5) to base 8.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61\/20 - -14\/5. Let p be (-2 + (-34)\/(-15))*10\/(-4). What is the closest to c in 0.3, p, 22?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 823*m*t**3 + 6031*m + 3*t**3 - 41*t**2 wrt t?\nAnswer: 4938*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwxs when four letters picked without replacement from oosswxsszomoo.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 6*v**2 + 4*v - 19. Let p be g(6). Suppose t - 77 = -p*w, -6*w + 52 = -2*w - 4*t. Are w and 13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*p - 3*j = 134*p - 111, -5*p + 3*j = 175 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u*u*u**(-11))))\/(u\/(u\/(u*u*u**(-17))))*u\/u**(1\/2)*u*u**(-2\/43) assuming u is positive.\nAnswer: u**(555\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6120 (base 8) to base 15.\nAnswer: -e02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (3 + 8 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p**2 - 2*p + 1811. Let q be n(0). Suppose -11*j + 3161 + q = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -13*p + 17*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 2) to base 15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(55\/15)*(2950\/(-354))\/((-5)\/(-2)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n**2 + 4*n + 2. Let t(i) = -5*i**3 - 17*i**2 + 46*i + 8. Let r(m) = -5*t(m) + 20*z(m). Find y such that r(y) = 0.\nAnswer: -15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -6, 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 17 (b) -0.3 (c) 39014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 254841810 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u - 22. Suppose -4*v + 70 = 6. What is the units digit of l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*q + 30, -q + 1 = 5*a - 49. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 427976 and 732?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -262, -8\/3, 1\/2, -2 in descending order.\nAnswer: 1\/2, -2, -8\/3, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + 48. Give x(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 2*l - 2 + 2*l + 0*l. What are the prime factors of a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1554 * -0.06\nAnswer: -93.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 80*s + 2. Let p(q) = -q**2 + 2*q. Let x(g) = -g. Let k(l) = 3*p(l) + 6*x(l). Give f(k(o)).\nAnswer: -240*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -100, -187, -310?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 6:19 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101002210 - 121020?\nAnswer: 100111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 765 and 24?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.9 + -2.9. Let q = 81 + -67. Let i = q - x. Which is the smallest value? (a) i (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*-6*(sqrt(70)*3 - sqrt(70))*-4)\/((-4*1*sqrt(90))\/(5*sqrt(144) + sqrt(9))))**2.\nAnswer: 44452800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:17 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 18*t - 14*t. Let s(z) = z - 4. Let q be s(t). Let b = -1 - -11. Solve -3*j + 4*k = -b, j + 5 = 2*j - q*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h = 90*h + 80. Let s = 1 + -8. Let g = s + 11. Solve 0*u = -g*u - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 598 or 4188\/7?\nAnswer: 598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17184, 17174, 17164, 17154?\n\"Answer: -10*v + 17194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 0*j + 0*j + (5*j**2 + j**2 - 2*j**2)*(2 - 1 - 2) - 2*j**2 + 0*j**2 + 7*j**2 - j + 3*j**2 + j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88.5 + 88. Let s be (-4)\/5 - (-4)\/10. Which is the third biggest value? (a) s (b) 1.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 991, 1601, 2203, 2791, 3359?\n\"Answer: -y**3 + 2*y**2 + 611*y + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 - 17\/(952\/(-16)). Factor g*v**3 + 0 + 0*v + 1\/5*v**5 + 4\/5*v**2 - 3\/5*v**4.\nAnswer: v**2*(v - 2)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiix when four letters picked without replacement from iiiiiiiiiiiixxiiii?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-10)*(-77910)\/(-17808)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from xxmxxqqqxiqq.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -268.\nAnswer: 11\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*a - 30, 0*a - 5*x - 18 = -2*a. Let j be (-2)\/(-1) + (-3 - -3). Suppose -26 + 26 = -10*c. Solve t - a*g + 5 - 12 = c, t = j*g + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -38 and 6.901941.\nAnswer: -31.098059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7553687 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 7*p - 1. Let a be n(-7). Let q be 702\/171 + (-4)\/38. Suppose -q*u + 10*u = 0. What is the biggest value in u, -4, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 6*j**2 + 3*j + 2. Let g be n(-6). Let b = g - -26. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 9. Let g be i(-6). Let a(r) = r**2 - 5*r. Let t(v) = -v. Let s(h) = g*a(h) - 15*t(h). Let q(c) = -3*c + 3*c + 2*c. Determine s(q(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 1:44 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947628397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8817 + 8765. Put 12, -2, -5, z in increasing order.\nAnswer: z, -5, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32\/9, 97, 4\/7 in descending order.\nAnswer: 97, 32\/9, 1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -287\nAnswer: 11.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexeexeeeexexxeeee. What is prob of picking 1 e and 1 x?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-6 + (-6 + 5 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -23*o + 393. Give u(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 140645159*t - 690382. Let b(g) = -8964*g + 44. Determine -31381*b(r) - 2*s(r).\nAnswer: 8966*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssessssess. Give prob of sequence ssss.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -d - 3*h, 3 = d - 4*h. Suppose 8 = -5*a - d*y, 5 = -8*y + 3*y. Let q = 1 - a. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(468) + 4 + sqrt(468) + 3 - 3*(sqrt(468) - (sqrt(468)*-3 + sqrt(468))))*4 + 2)**2*5.\nAnswer: -42000*sqrt(13) + 1837685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 (base 15) in base 12?\nAnswer: -885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l - 4*l + 0*l)*(2*l + 15 - 15) + 1 - 1 - 2*l**2 + (-l**2 - 3*l**2 + 3*l**2)*(2 - 1 - 2) + l - l - 2*l**2)*(12 + 8 - 4).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = 4*i + 5*x + 206, 19 = -i - 3*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n + 0*n**5 - 18 + 0*n**6 + n**3 + 0*n**4 + 0*n**2 - 4\/7*n**7. Find the third derivative of g(i) wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(27\/5))**(-1\/2)*(r**1)**(1\/18)\/((((r**(1\/8)*r*r)\/r)\/r)\/(r*r\/(r*r**(-3))*r)) assuming r is positive.\nAnswer: r**(2747\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 22, 1\/3 in decreasing order.\nAnswer: 22, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*y - 30, y + 5*b + 7 = -2. Let o be -2*15\/12*-2. Suppose -2*h - 4*c = -2*c - 54, -c - 105 = -o*h. What is the remainder when h is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -14.84\nAnswer: -7.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a + 0*a**5 - 2\/3*a**3 + 0*a**4 + 4*a**2 - 2\/105*a**7 + 0 + 0*a**6. What is the derivative of u(m) wrt m?\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 times -42?\nAnswer: -3.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 30. Suppose -h = -2*h + 2*t + 8, -5*h - 2*t + 100 = 0. Is g(h) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(68) - (sqrt(68) + 2 + sqrt(68))**2) + sqrt(170)\/(sqrt(250)*1))*-5.\nAnswer: -5520 - 279*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13146300 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 8*g + 162. Let a be o(0). What is the greatest common factor of a and 243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-248)\/(-20) + -2)*10. Let j = -106 + 64. Let m = -29 - j. What is the greatest common factor of m and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(56\/(-2930)))\/(13\/247). Let f = -3959 + j. Are 16 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1669, -1, 0 in decreasing order.\nAnswer: 1669, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 425\/(-2142) + (11 + -2)\/162?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(75) + (sqrt(75) + (0 + sqrt(75) - sqrt(75)))*-4 - (1 + sqrt(75))*-5 - (-2*(1 + sqrt(75)) - (sqrt(75) - (sqrt(75)*1*4 + sqrt(75)))))**2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 5*q - 22. Let c be u(8). Solve -5 = c*x + 5, 2*l + 13 = -3*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (15 - -13))*((-72)\/(-10))\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142884077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbowooo. What is prob of picking 1 w and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 5*z**2 - z - 5. Let b be s(-5). Let k be (1\/2)\/(2\/(-16)). Suppose 4*f - 4 = -q, -2 = -2*f - 5*q + q. What is the nearest to 0.1 in k, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50893800 rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 62*r - 99. Let z(o) = -4*o**2. Determine c(z(v)).\nAnswer: -32*v**4 + 248*v**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Suppose 3*i = -h*i. Suppose -3*l + c + 4*c = -4, -3*c + 12 = i. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 14*g - 2*y + 10 = 0, 0 = -3*g - 7*y - 19. Sort -168, 2, g.\nAnswer: -168, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**5*c**(-1))\/(c**1*c)**39 assuming c is positive.\nAnswer: c**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889512712.\nAnswer: 2, 11, 41, 246539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656407774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 364.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2) - (-12342)\/2652\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and 18723545 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 6.29\nAnswer: -194.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-186)\/124*7*(-11)\/(-4158).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/2448*6\/2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078*w - 31578 - 21633 = -479*w + 1284 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19037 and -5.\nAnswer: 19032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(3\/8)))\/((z**11\/z)\/z*z)*(z*z**(-13))\/z**(-1\/16) assuming z is positive.\nAnswer: z**(-357\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(6\/24*1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*1\/(14\/(-21))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/22 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-1)\/(2 - 3). Differentiate 5*h + d*h + 6 - 9*h + 3*h with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41553 - -44?\nAnswer: 42041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {a: 4, r: 7, j: 6}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111011111011011010 + -101?\nAnswer: -100111011111011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 1557079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3454 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 15) to base 13\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -57. What is the smallest value in -5\/2, 0.5, -1, m?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m + 30 = 0. Suppose -2*k**4 - 4*k**2 + 7 + m*k**3 - 7 = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -8*x - 58. Suppose 2*y + 3*n = -n + 24, -2*n + 6 = -2*y. What is the smallest common multiple of 16 and 32 - x - y\/(-1 - 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**0*m)*m)\/m**13 assuming m is positive.\nAnswer: m**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 927 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 4. Let v(y) = y**3 + 6*y**2 - 6*y + 9. Let a be v(b). Find the third derivative of -5 + a - c**6 - 2*c**2 + 3 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54685, -109361, -164031, -218695, -273353?\n\"Answer: 3*d**2 - 54685*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*t**3 + 11*g**2*t**2 + 14*g**2*t - 26*g**2 + 129*g*t**3 + 20*g*t**2 + t**3 - 2*t**2 wrt g.\nAnswer: -6*t**3 + 22*t**2 + 28*t - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43076\/23 + 1875. Find the common denominator of u and -41\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jje when three letters picked without replacement from {e: 3, v: 2, j: 6, n: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:01 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167185 less than or equal to 2167256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2340010 (base 6) to base 10.\nAnswer: 121830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.39 in -0.1, 5\/2, 3143, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i**2 - 27*i - 14. Let g(v) = -3*v**2 - 7*v - 3. Let x(o) = -9*g(o) + 2*y(o). Give x(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22*j**3 + 6*j**2 - 6*j. Let i be q(-6). Round i to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 348*x**2 + 9 - 125*x**2 - 222*x**2 - 9*x + 2*x. Let d be (-2)\/1 - (-2 + -36). Let i be 8\/d + (-104)\/(-18). Calculate h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - d = 2*n - 4, -d + 4 = 2*n. Factor 4*g**4 - 3*g**5 - 3 + 4*g - 8*g**2 + n*g**3 - 8*g**3 + 7 + 7*g**5.\nAnswer: 4*(g - 1)**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 242*y**2 + y - 1. Suppose 2*z + 4 = -4*m - 6, 3*z + 4 = 5*m. Is 40 a factor of p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/11 >= -69853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (7 - (2 - -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14367527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 * 5886591\nAnswer: 147164775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, -1\/6, 2\/9, -6, -0.0983?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Suppose 4*o - 14 = -8*p + x*p, -3*o + 5*p + 28 = 0. Suppose o*w = w + 265. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, y: 5}. Give prob of sequence ssy.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.72489 and 0.923.\nAnswer: -7.13007347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 11 = 3*m + 15, -5*s + 4*m = -33. Let b(f) = -f**3 - 8*f**2 - 2*f. Let i(z) = z**3 + 8*z**2 + z. Let t(o) = s*i(o) + 6*b(o). Give t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2113 = 46*c + 2021. Solve -15*t - c = -16*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -67*x**2 - 4*x - 1. Let k(y) = -66*y**2 - 3*y - 1. Suppose 8 = -12*l - 28. Let d(m) = l*j(m) + 4*k(m). What is the first derivative of d(n) wrt n?\nAnswer: -126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + 0.083244115?\nAnswer: -75.916755885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 17003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2 and 75\/4347356?\nAnswer: 4347356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 38, -15, -108, -253?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314.9 + -315.2. What is the closest to 4 in -1\/3, w, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 21 = p, 4*d - 16 + 39 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17614 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a = -118*a - 99*a - 2832 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137 and 17947?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 35*a. Let y(f) = 107*f**2 - 1. Give i(y(n)).\nAnswer: 3745*n**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 2 + 1 - 17 - 4 to r + j*y and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-873)\/582*(-10)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.46 - 1752641096.\nAnswer: -1752641101.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-2)\/2) + 3. Suppose 0*x + 4*x + b = 10, -8 = -4*x - k*b. Let w be 30\/7 - (-4)\/(-14). Solve -m + 1 = 3*o - 0, w*m = x*o + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1111041, -2222092, -3333143?\nAnswer: -4444194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 175*c + 5867. Give y(63).\nAnswer: -1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 - 143.1. Let x = p + 6. Let y = 4452 + -4452.4. Which is the smallest value? (a) y (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 7 + 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*6\/88)\/(54\/32)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2, -1, -201?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 643835*-24\nAnswer: -15452040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 246 + -5?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 5 (c) 1963 (d) 0 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 + 1 - -7 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 3248 + 14322 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*f = -10 - 10, 5*o = -5*f - 15. Suppose 0 = -o*r - r. Suppose -54 = -r*m - 3*m. Solve -5*v = -4*z - 26, -2*z + 5*v = -0*z + m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 6*n**2 + 7*n - 3. Let v be g(7). Let x be (-2 - -10)*26\/52. Let u(l) = -882*l**3 + 883*l**3 - 6*l + 4 + x*l. Give u(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306892 plus 3?\nAnswer: 306895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 9. Let y be z(-5). Which is the nearest to -1\/3? (a) 2\/15 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -266014908 smaller than -266014907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 17*u**2 + 50*u - 5. Let a be b(-4). Let o(s) be the third derivative of s**6\/120 - s**5\/20 + 2*s**3\/3 + 2*s**2. Determine o(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(99))*-5 + sqrt(176) + 0 + sqrt(176) + 3 - ((-4*(sqrt(33) + sqrt(297)))\/(sqrt(12)*-3))**2.\nAnswer: -722\/9 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 64 = -4*d, -5*d = 2*c - 4*d - 39. Suppose -n = -29 + c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 8:59 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 7:33 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328257 and 27?\nAnswer: 984771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 161166*u*v**3 + 8*v**3 - 1336*v**2 - 2*v wrt u?\nAnswer: 161166*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 13. Suppose 0 = -2*n + 6*n - k. Let r(v) = 3*v**3 - v**2 + 2*v - 1. Let a be r(n). Solve -o = a - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011307 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -42. Suppose j = d + 15. Calculate the remainder when j is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y - 2534. Let p(c) = 19*c. What is p(u(v))?\nAnswer: 57*v - 48146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -2324\nAnswer: -5\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:54 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(-2 + sqrt(396)).\nAnswer: -18*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001 (base 2) in base 10?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 182 = -2*u. Let z(b) be the second derivative of -b**5\/20 - 11*b**4\/12 + 19*b**3\/3 - 7*b**2\/2 - 10*b. What is the units digit of z(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w - 2. Let m be 88\/55*1*5. Suppose -m*x + 29 = -3. Determine o(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 1443?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from dxxlypx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454035?\nAnswer: 3, 5, 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1568 + 1570. What is the second biggest value in a, -0.3, 42, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140.470075 + 140.1. Let w = -0.37 - o. What is w rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j - 6. Let m(x) = -8*x - 12. Let r(n) = -11*g(n) + 6*m(n). Let s be r(-4). Solve -4*l + s = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.7, 7, -3, 371, -2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/3 + 50*f**3\/3 - 6*f**2 - 4658*f\/3 + 4624\/3 = 0. What is f?\nAnswer: -17, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7.28 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/9)\/(-2))\/(2\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrxxxroorrrroxsrr. Give prob of picking 2 x.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y + 4*y = 0. Suppose y = -12*f + 28 + 8. Sort -2, 0, f in increasing order.\nAnswer: -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11323731.\nAnswer: 3, 3774577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15916, -31863, -47810, -63757, -79704, -95651?\n\"Answer: -15947*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3 + 11228*f**2 - f - 230028.\nAnswer: -6*f**2 + 22456*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 3}. What is prob of sequence hhhv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*u + 41*u + 83*u - 5*u**2 - 680 - 8*u - 9*u = 0. Calculate u.\nAnswer: 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.79 in -1\/2, 43.68, -17\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*v - 3*r, 9 - 3 = 2*v + 2*r. Suppose 0 = v*q - 5*m - 70, -4*q + 4*m + m = -95. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 514 + 4?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 6, e: 4, f: 4}. Give prob of picking 2 x.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**13*j**15*j**(-2\/11)\/j**(-10) assuming j is positive.\nAnswer: j**(427\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.45762 months?\nAnswer: 0.000288135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76 - (9 + -55)) + 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2 - p**3 - 7*p - 15 + 9 + 7*p**2 + p. Determine a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 274\/561 + -20\/33. What is the biggest value in 1\/3, n, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1590586 (base 10) to base 9.\nAnswer: -2883777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, 1159 in ascending order.\nAnswer: -3, 0, 5, 1159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ococc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r + 70*r + 151 = 0. Let n = -151 - r. What is the nearest to 1\/5 in n, -0.3, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*n + 133 + 418 = -23. What is the highest common factor of 3566 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271314 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1554 + 1582. What is the highest common divisor of 1876 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 24939. Let i(c) = 153*c. Give i(n(t)).\nAnswer: -306*t + 3815667","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 26 = 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*d = 114*d + 10. Suppose -160 = -5*b - 0*x + x, 160 = 5*b - d*x. Is 32 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.607701 grams in kilograms?\nAnswer: 0.001607701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - f - 20 = 0, -14*b - 3*b - 5*f - 97 + 267 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 - 3*y**2 + 2*y**2 - 5*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (17 - (-4 - (-8 + 8))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.5 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(208) + -1 + sqrt(208) + 0 - sqrt(208)))**2 - ((sqrt(325)*2)**2 + -4)*-5.\nAnswer: 16*sqrt(13) + 6692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 102706 (base 11) to base 16\nAnswer: 282d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 - 9033*p + 4334616 = 0. What is p?\nAnswer: -3432, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -56.8. Let i = -0.9 + 0.5. Which is the third smallest value? (a) 0.4 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 11:16 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204416 + 2640.\nAnswer: -201776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 3\/5 (c) -254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikppilkkbpipap. Give prob of picking 1 l and 1 k.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**5 + 1743*o**3 + 2*o**2 + 3*o + 2090 wrt o?\nAnswer: -20*o**3 + 10458*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.8 - -38.8. What is the closest to 0.09 in 2\/15, d, 2\/11, 2\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.3825 times -1.66\nAnswer: -42.13495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 226663549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 p, and 2 n when four letters picked without replacement from {z: 1, l: 2, n: 2, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = s. What is the units digit of 8\/1*3\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 237160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24164 and 7716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 18*c**2 - 5*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 10. Suppose n = -n + h. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 18 = 4*c, 5*m = c + 4*c - 35. Let v be (-1 + 201)*4\/c. Suppose 5*g - 4*g + 2*d = -v, 3*g = -3*d - 1200. Round g to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + (-2 - -3)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 106755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(7\/2))\/m*m)\/(m**(5\/3)*m) assuming m is positive.\nAnswer: m**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 136\/(-14) - 8\/28. Let k = w + 10. Suppose 3*m - l - 20 = 0, k = -4*m - 4*l - 16 + 64. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13*h + 123. Let u be y(11). List the prime factors of u\/(-5) + -1 + (-2 - -255).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxmyzmyztzlt. What is prob of picking 1 x and 1 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*m**3 - 214*m**3 - 311*m**3 + m**3 + 13*m**3.\nAnswer: -735*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21411503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 15. Let n = 16.00056 - r. Round n to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82524 + -575014\/7. Let h = l - 23501\/63. Find the common denominator of h and 8\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -162.583801 times -0.2\nAnswer: 32.5167602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 6 - 18. Let i(d) = -d**3 + 7*d**2 - 6*d. Determine i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*58\/(-10469)*(-19)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - 2.4. Which is the second smallest value? (a) 5 (b) 1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 14, -3*n + 21 = 312*a - 309*a for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2090 + 2110. What is the remainder when 512 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-2)\/(-10))\/(211\/(-10550)). Let y = 34 - 23. Let a = y - 3. What is the highest common factor of k and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*g + 2*b, 5*b + 13 = -4*g - 0*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 7:00 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88\/24 + 2\/(-3). Let k = -4 + 4. Suppose 2*n - 1 - 3 = k. Solve n*c - 1 = i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 2\/15*m**6 - 6*m**2 - 10\/3*m**3 - 2\/21*m**7 + 75*m + 2\/3*m**4 + 0 + 6\/5*m**5. Factor z(r).\nAnswer: -4*(r - 3)*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -854637 (base 9) in base 7?\nAnswer: -4215616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 + 1.4. Let l = q + 1. Let j = -1145.15 - -1145. Sort j, 0.4, l in decreasing order.\nAnswer: l, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -9\/4, -3\/5 in ascending order.\nAnswer: -9\/4, -3\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-300)\/(-78) + (4 - ((-252)\/(-52) + -1)). Solve l*i + 16 = 2*h, 6*i = 2*i - 4*h + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 + 385833*n**4 - 12401540112*n**3 - 260556207708*n**2 - 1489118638560*n - 1240964356800 = 0. Calculate n.\nAnswer: -10, -1, 64316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 205 - 5?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, 54 in ascending order.\nAnswer: -21, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = 75 + 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10867a (base 12) to base 14.\nAnswer: -6c0d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 6 + k**2 - 54*k - 31*k to z + o*k**2 + c*k and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0*l + 2. Let a be -10*(l + (-5)\/2). Solve 0*f + f + 4*h = -17, a*f = 3*h + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + 2*(-60)\/175. What is the nearest to h in 2\/11, 0.09, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 9 - j**2 + j - 4*j + (4 - 163*j + 3 + 162*j)*(-27*j - 542 + 542).\nAnswer: 26*j**2 - 192*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*p - 16 = -b + 493*p, -8*b - 4*p + 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4.79 times 15\nAnswer: -71.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/32060 and 36\/35?\nAnswer: 32060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -457080 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -8. Let l = -4 + r. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + f - 95 = 0, 2*b - 7*b + 5*f = -125. What is the second derivative of -495 + b*z + 987 + 74*z**2 - 489 wrt z?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/7 - 6*g**3\/7 + 6*g**2\/7 + 22*g\/7 + 12\/7 = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 17, s: 3}. Give prob of picking 2 l.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 6*v - 5. Let b(j) = 5*j**2 - 6*j - 5. Let p = -5 + -2. Let a(m) = p*b(m) + 6*u(m). Give a(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18438 + 1161562\/63. Calculate the common denominator of g and 145\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73, -141, -289, -559, -993, -1633?\n\"Answer: -7*k**3 + 2*k**2 - 25*k - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-70))\/(2\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*w = -83*w + 10. Solve w*m = 5*v - 2, v = -4*m + m + 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(-5 + (-1*sqrt(33)\/(sqrt(30)\/(2*sqrt(10)) + sqrt(3)) + 2)**2).\nAnswer: -64\/3 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 689\/17434 or 1?\nAnswer: 689\/17434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30291 + -15832. Suppose -10*t - 5541 = h. What is t rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-4)\/s*s)\/s**(-1))\/((s**(-6\/5)*s)\/s**(-4\/3)))\/(s**(-8)\/(s\/((s\/s**(-3))\/s)))**(-3\/4) assuming s is positive.\nAnswer: s**(-199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 117\/161 (b) 3 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14345 + -14285. Let x be (-42 + -3)\/((-6)\/8). Calculate the greatest common factor of r and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 1\/3*p**3 + 55\/3*p - 19\/3*p**2 = 0. What is p?\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 75*m**2 + 154*m + 17. Let o be v(35). Calculate the greatest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112a305 (base 11) to base 5\nAnswer: -1001204242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*a + 6, 8*a = 4*a + 4*x. Sort -5, 1, 2, a in ascending order.\nAnswer: -5, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1081987 + -1081928.99982. Let i = -58 + j. Round i to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfh. Give prob of sequence fh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let d = 584 + -580. Let c be (-159)\/265*d\/(-3). Do c and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3232201131 (base 4) to base 15\nAnswer: -144729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u - 345 = -24*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.220834 - -0.19722. Let y = -0.0229 - l. Round y to five decimal places.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - u - 75 = 0, 0 = -4*u - 0*u + 20. Suppose 0*r - 60 = 2*r. Let p = -14 - r. Calculate the highest common factor of d and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-8 - (-25 - 1) - 5). What is the closest to d in -0.3, 0, -1, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -8, -29, 77.\nAnswer: -29, -8, -2, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = 9. Let a be (-364)\/(-18) - ((-11)\/(-9) - 1). Let u = a + q. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - f**4 + f**2 + (4*f - 3*f + f)*(-2*f**3 - 2*f**3 + 3*f**3) + (-5*f + 5*f - 4*f**3)*(0*f - 2*f + f).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*b - 1044 = 0. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (34 + -24) - -8\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2. Let x(j) = 8*j**2 - 2. Let f = -120 - -119. Give f*x(y) + 6*a(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 13*y + 3840. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246156307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9)\/((b\/b**6)\/b))\/((b\/b**18)\/((b*b*(b\/((((b*b**(-7))\/b)\/b)\/b))\/b)\/b*b)) assuming b is positive.\nAnswer: b**(304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(35\/770). Let c be (-1 - -16556) + (2 - 3). Is c\/66 + (-2)\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 8*y + 5*g = 8, -y - g + 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkp. What is prob of sequence pk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13975 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12428059?\nAnswer: 7, 229, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-10) - 0)\/((-3)\/20). Suppose 0*b = m + 3*b + s, -m = -2*b + 3. Put 1, 2, m in decreasing order.\nAnswer: 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*-1106541.\nAnswer: 40942017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(216) - ((sqrt(1176) + 1*sqrt(1176) - sqrt(1176) - sqrt(1176)) + sqrt(1176)))\/(-4*sqrt(108) - (sqrt(192) - 2*sqrt(192) - sqrt(192))).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/991 (b) -1 (c) 9 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 135735 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 + 177. Solve 0 = -p - 4*r + 1, 3*p + 14 - 34 = o*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26331745, 52663490, 78995235, 105326980, 131658725, 157990470?\n\"Answer: 26331745*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.5. Let q be 2 + (-3 - 0) + -1. Let h be q\/5 - (-12)\/5. Which is the smallest value? (a) 0 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 0. Let z = 157 + -159. Which is the biggest value? (a) z (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -824997*u - 12. Let n be x(4). Round n to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n*w**5 + n*w**3 + 284*n*w + 12*w**3 - 10*w**2 wrt w.\nAnswer: 300*n*w**2 + 6*n + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057)*2 + -2)*4)**2*1 + 2 + 5*(sqrt(2057)*-2)**2*2.\nAnswer: -1408*sqrt(17) + 213994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, y: 3, n: 7}. Give prob of picking 3 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 93 + 57 = 24 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47571762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n - 2. Let g(x) = -1. Let v(b) = -2*g(b) + t(b). Let i(o) be the first derivative of -o**2 - 13. What is v(i(z))?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = g + 17, 3*g - 169*a + 35 = -174*a for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 8}. What is prob of picking 2 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:10 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, 2611, 2\/2899?\nAnswer: 2\/2899","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*(-20)\/(-38) + (-84)\/(-798).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.7 + 0.7. Let b = -5.6493 + 0.0293. Let j = n - b. Round j to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -705*z**2 + 6*z**4 - 10 + 706*z**2 - 5 wrt z.\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-516166)\/644)\/((-2)\/4).\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**4\/6 - 13*p. Let q(x) = -3*x**2. Give q(o(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/27 - -19\/54. Let t = 16.6 - 17.72. Let l = t + 1.62. Which is the smallest value? (a) 1 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.54 + -2?\nAnswer: 124.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/193 + -601\/2123. Let a be 30\/(-33)*1\/(-4). Let x = i - a. What is the smallest value in 0.4, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 225130.7245?\nAnswer: 225130.8245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u + 8*u - 1184 = 0. Let k = -148 + 155. What is the remainder when u is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49314 minus -59822696?\nAnswer: 59773382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 6:19 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + -2 + 4 + 4 + 6*(-1 + sqrt(1900)) + 2)**2.\nAnswer: 244*sqrt(19) + 70703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 0*d**3 + 15*d**3 - 4*d**3 - 8*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -49.469.\nAnswer: 9.8938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * 682.\nAnswer: -32054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + -1 + ((sqrt(30)\/(sqrt(18)\/sqrt(3)) + sqrt(45) + 2)**2 - 2*(sqrt(35)*2)\/sqrt(7)))*1.\nAnswer: 12*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a - 4. Let v(m) = m + 1. Let w(k) = -5*k. Let f(b) = -v(b) - w(b). Calculate 22*f(h) - 6*y(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**5 - 5*p**4 - 35*p**3\/3 + 25*p**2 - 110. Suppose k(c) = 0. What is c?\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/((a*a**(3\/7))\/a))**(1\/3)\/(a*a\/(a\/a**(-18))*a\/(a**2*a)) assuming a is positive.\nAnswer: a**(139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -147.8. Let c = 0.19969 - v. What is c rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*j + 4 = 0, -2*y + 3*j - 4 = -4*y. Let u(t) = -6*t - 2*t**y - 1 + 5 + t. Let p(i) = i - 1. Determine 6*p(s) + u(s).\nAnswer: -2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 7*p**2 - p + 1. Calculate the smallest common multiple of v(-7) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 161, 216, 271, 326, 381?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {i: 5, w: 1, q: 1, n: 1, r: 4, l: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -0.1. Let g = 4695\/13 - 361. Sort z, g, -4 in decreasing order.\nAnswer: g, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3931*t**3 + 6846*t**3 + 635*t**3 + 7179*t**3.\nAnswer: 10729*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/18, -0.6, -19, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31371341, -31371340, -31371339?\n\"Answer: l - 31371342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let u(f) = 2*f**2 - 4*f + 3. Let z be u(2). Let b be a(z). Suppose 0 = -4*t + 2*s + 58, -55 = -2*t - 2*t + 3*s. Solve -b*r - 1 = -t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(242)*-3)**2.\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 20 (b) 2 (c) 12 (d) 1\/4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + (-548 + 567 - (0 - -12)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k - 11*k + 32*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, -1, -0.1, -23 in descending order.\nAnswer: 0, -0.1, -0.2, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/2))\/v*v*v)\/(v\/(v*v**(4\/3)*v))*(v*v*v**(1\/13)*v)\/((v\/v**(2\/25))\/v) assuming v is positive.\nAnswer: v**(13631\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100023 is divided by 32750?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 1, -5, -2\/203, -2\/11, 12.9, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6 + 14\/(-4). Let a = g + 10. What is the greatest common divisor of a and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562 divided by 2.\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -42493) + 6 + -3. Suppose h = -11*m - 23831. What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, d: 16}. Give prob of sequence dd.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 76*r + 8. Let h(q) = -685*q - 70. Calculate 4*h(i) + 35*z(i).\nAnswer: -80*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)*1 + (sqrt(63) - sqrt(567)))**2 - (1*-1*sqrt(112))**2) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1 - 0) - (-6 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**3*p**2*y + 7*h**3*p**2 + 73*h**2*p - 9*h*p**2 + 4*h*y + p**2*y + y wrt y?\nAnswer: 3*h**3*p**2 + 4*h + p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/120 + 11*a**3\/6 - 25*a. Let w(c) be the second derivative of v(c). Let d(q) = -3*q**2 + q. What is w(d(h))?\nAnswer: 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m - 18 - 90*m**2 - 2*m - 94*m**2 + 186*m**2. Give j(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-74 + 2 - (154 + -158)) + -3 + (2 - 4)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*f + 0 = -9, 2*f = -2*m - 6. Suppose -6*u + 293 + 217 = m. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 5*s**4\/24 - 10*s**2. Let m(o) be the third derivative of -o**5\/30 - 2*o**2. Determine m(a(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 1\/2*-6. Let a = 4 - m. Let k be (-14)\/(-5) - (-4)\/20. Solve -a*o - 4 + 20 = -k*h, -o - 5*h - 19 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.221 + 0.2388. What is b rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4602347 to the nearest integer?\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -30. Solve -6 = -2*a, -15 = o*z - 0*a - 4*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/44*((-15)\/21 - -1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1\/5, 0.1.\nAnswer: -1\/5, 0.1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + 8. Calculate the remainder when 144 is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22, -9, 0 in increasing order.\nAnswer: -22, -9, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-585)*245 - 2\/(-13). Factor y*i**2 + 0 + 12*i**3 + 0*i + 28\/3*i**4.\nAnswer: 4*i**2*(i + 1)*(7*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-3)*c)*c)**(-4\/11))**36*(c*((c\/c**(1\/4))\/c)\/c*c*c)\/c*c**(-3\/7)*c*(c*c\/(c\/(c\/(c*c**1))))**(3\/44) assuming c is positive.\nAnswer: c**(-15721\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 2 + 2. Let g(t) be the second derivative of -t**4\/2 + t**2 + t + 48. Calculate f(g(i)).\nAnswer: -6*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 19*o**2 + 10*o + 12. Give z(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -349 - -519. Let z be 8\/36 - (j\/(-45) - 0). Solve 0 = -0*t - 5*t - 25, 4*t = z*m - 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201202010001 (base 3) to base 11.\nAnswer: -245a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 0.3, 0.2, -2, 0.012951, 0 in descending order.\nAnswer: 0.3, 0.2, 0.012951, 0, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.92 - -0.08. Let n(i) = -i**2 + 14*i - 47. Let h be n(8). Which is the third biggest value? (a) h (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*g - 11 = 0, -z - z - 5*g + 28 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -8. Suppose -4*b + u + u - 14 = 0, -3*b + 4*u + 2 = 0. Calculate the remainder when (6\/(-4))\/(b\/112) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/4 - 619*s**4\/4 + 7591*s**3\/4 + 11911*s**2\/4 - 24609*s\/2 = 0 for s.\nAnswer: -631, -3, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -13*p**4 - 6*p**2 + 11*p - 6. Let r(v) = -12*v**4 - 5*v**2 + 10*v - 5. Let k(n) = -5*j(n) + 6*r(n). What is the second derivative of k(h) wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 797130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79694 is divided by 1852?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 - 20001650*n - 40003320 = 0. Calculate n.\nAnswer: -2, 4000332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*l - 4*z, 3*l + 2*z = -2*z + 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126107120.\nAnswer: 2, 5, 1576339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 944 + 192. What is the highest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227447 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17635819\/48776 - 27\/6968. Let s = 362 + w. Determine k so that -s*k**4 + 3\/7*k**2 - 18\/7*k - 3\/7*k**5 + 0 + 3*k**3 = 0.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 65, 200, 465, 902, 1553, 2460?\n\"Answer: 7*y**3 + 2*y**2 - 8*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 3*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 267996 bigger than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 756195 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 2072473.\nAnswer: 6217419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 31149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2302478 and 451876.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-21) + -3)\/(-6 - 428\/(-208) - -4)?\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -146*v + 1898. Let u be q(13). Let d = 7 - 2. Put d, -3, 4, u in descending order.\nAnswer: d, 4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 4*z)*(-2 - 8 - 3).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + 5*((sqrt(99) + 1 - sqrt(99))**2*4 - (sqrt(99) + -1 + -3 + sqrt(99))).\nAnswer: -30*sqrt(11) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/3 + 5*n**2\/3 - 50*n\/3 + 40\/3.\nAnswer: 5*(n - 2)*(n - 1)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 + 3286*q - 1642*q - 1582*q + 1 + 4.\nAnswer: 62*q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1145, 1592, 2021, 2426, 2801, 3140, 3437, 3686?\nAnswer: 3881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166193 times 3?\nAnswer: 498579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 4*x - 3. Let j be w(5). Suppose 2*u + 0 = j. Let h = 3 + -2. Is u != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2984*q**2 + q + 1. Let p be k(1). Let m = p - 12001\/4. Calculate the common denominator of -67\/20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.0576 (b) 67 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 9. Let t be v(-5). Suppose 5*f = -2*u, -t*f - 5*u + 0*u - 17 = 0. Solve -f*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 - (7 + -18 + 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from cltcnnbbcbzntcb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(0 + 3) - 1. Let w = 744 - 393. Let s be 132\/w + (-2)\/13. Which is the third biggest value? (a) s (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*s = 11, x - 3 + 2 = s. What is the remainder when 19 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 440 - 224. Calculate the highest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179076228029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*z + 1)*(2 - 3 + 5) + 147*z - 158 - 14*z + 158.\nAnswer: 125*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 4*r**2 - 5*r - 7. Let b be x(-3). Suppose -4*q + b - 10 = 0. Calculate the highest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddbddbobboodkdkbdd. Give prob of picking 2 k, 1 b, and 1 d.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81407.\nAnswer: 127, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 14*j - 23. What is n(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/(28\/(-88)) - 5. Suppose -8 - 13 = -5*i - s, 0 = 3*i - 2*s - 23. Suppose f = -p, -f = -i*f + 4*p - 16. Is f at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 - 5 - 57 + 62 - 2*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30d6 - 61?\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 325835194 a multiple of 3466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -4*w - 3. Suppose -2*q + w = 5*h - 1, 12 = 2*h - 2*q. Suppose h*y = -0*y + 58. Calculate the remainder when 84 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 584460 and 55080?\nAnswer: 10520280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*g = 132*g - 4*v + 28, 0 = -g + 4*v - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291770608 to the power of 1\/3, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 - 4*j - 1. Let c(q) = 6*q**2 - 4*q - 1. Let p(u) = 4*c(u) - 5*v(u). Give p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 756 - 538. Let a = l - 46. Suppose -4*p = -8*p + a. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 57*h**3 + 1088*h**2 + 95*h - 61. What is t(-19)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 127 = 5*z + 90, -2*y = -4*z + 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -2, -11, -20, -29, -38?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1032 - -2?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + a3673a2?\nAnswer: a3673a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -33 - (10 + (-89 - -68))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 106020 times -1\nAnswer: -106020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 46275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4216856564 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7516 = -4*o, 6*o - o + 5605 = 3*m. Is m a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15120 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 3. Let a(j) = -j - 4. Let h(g) = 3*a(g) + 4*o(g). Let i(n) = 4*n. Let d(l) = 3*l. Let k(f) = 3*d(f) - 2*i(f). Determine h(k(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7b4 - 15?\nAnswer: -7c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**23\/(z\/z**(-1\/4))*(z\/z**(-26)*z)\/(z\/((z\/(z*z*z**9))\/z)) assuming z is positive.\nAnswer: z**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -7*o**4\/12 - 12*o. Let z(a) be the second derivative of -2*a**3\/3 + 11*a. What is c(z(j))?\nAnswer: -112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1893, -1894, -1895, -1896, -1897, -1898?\nAnswer: -1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(15\/6))\/((-5)\/75).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*p**3 + 149*p**5 + 142*p**5 - 287*p**5 + (-2*p**4 + 6*p**4 - 2*p**4)*(4*p + p - 4*p) + 3*p**5 + 2*p**5 - 3*p**5 + 2*p**5 - 5*p**5 + 5*p**5.\nAnswer: 10*p**5 - 93*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 100\/110 + (-2)\/(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, -1.2, 18, 1, -4, 0.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -874 + 874.1. Let f = 8\/27 + 68\/135. Which is the closest to x? (a) -3 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -6535 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008759440 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 10038624.\nAnswer: 30115872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8.26 - -5\nAnswer: -3.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7224)\/60 - -120)\/(1 + -1 - 60\/(-25)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -86, -100, -126, -170, -238?\n\"Answer: -m**3 - 7*m - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -325\/3 - -109. Which is the nearest to -1\/3? (a) -2\/7 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/25 of a meter?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/(636\/(-72))*(-2)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -164997, 0, -0.4, 3\/7, -2\/217 in increasing order.\nAnswer: -164997, -0.4, -2\/217, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (sqrt(891) + -1)) + sqrt(891))*-5 + -3.\nAnswer: -45*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37778754 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**3 - 16*d**3 - 21*d**3 + 48*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {v: 9, t: 2, z: 4, a: 1, q: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15.79 * 0.3\nAnswer: -4.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 7) in base 12?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216297527?\nAnswer: 7561, 28607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6103*r**4 + 22*r**2 + 8*r + 8076271.\nAnswer: 24412*r**3 + 44*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v. Suppose v*t = -4*t + 16. Do 4 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -14b?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78\/(3 + (-1)\/((-1724)\/(-5168))).\nAnswer: 2, 3, 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + u - 2*u)*(2 + 2*u**2 - 2) - u**3 + 0*u**3 - u**3 + 22*u**3 + 37*u**2 - 37*u**2 + (-3*u - u**2 + 3*u)*(-u - 1 + 1).\nAnswer: 27*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113585051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = 16 + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 p, and 1 x when three letters picked without replacement from {p: 5, m: 2, x: 3, w: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 4. Let g be ((-3)\/(-9))\/(3\/63). Calculate n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from vxoxoeo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 10. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*p - 4*w - 18, -5*p + 2*w = -19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y, 0*y - 3*y = -2*u - 78. Let a be (56\/u)\/(2\/(-6)). Find the second derivative of 2*z - 9*z**5 - 11*z + a*z wrt z.\nAnswer: -180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooj when four letters picked without replacement from joojljloosoososol.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.641\nAnswer: -0.3205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 4*l + 22, 5*g = 7*l - 15*l + 22 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 12*f - 12. Suppose -3*l = 5*d - 67, -4*l + 57 + 19 = 4*d. What is the smallest common multiple of c(l) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -110. Suppose -z - 5*n + 262 = 0, 4*z - 1111 = 3*n - 2*n. Let s = z + -264. What is the remainder when r is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80380094*j*u + u - 60546430 with respect to j.\nAnswer: 80380094*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106692 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 25. Let a be 20\/8 - (27\/6)\/(-9). What is the tens digit of t - -2*a\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 564481 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3503640 divided by 18060.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4097 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + 2*g)*(-2*g + 0*g + g) + (-4*g**2 + g**2 - 5*g**2)*(75 + 116 - 73).\nAnswer: -943*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5139 by 195.\nAnswer: -1713\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1191\/(-4764))\/((-11)\/20)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 14*y - 17. Let f be l(-12). Let d = 23 + f. Calculate the highest common factor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 30*d - 56. Let z be x(28). Suppose 8*h - 12*h + 260 = z. Solve h*u + 10 = 70*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5370, 21433, 48200, 85671, 133846, 192725, 262308?\nAnswer: 342595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 - 4 - 0) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 143\/5? (a) -1\/3 (b) -5 (c) 0.08 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d*(d\/(d\/(d\/(d\/(d\/(d**(3\/2)*d))))))\/d)))\/d)\/d*d**(7\/3))\/(d**(-2\/13)*d**(1\/4)) assuming d is positive.\nAnswer: d**(-41\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f - 9*f + f**2. Let c(y) = -4*y + 4*y + y**2. Give u(c(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v - 29. Let d(c) = 55*c + 170. Determine -4*d(a) - 25*p(a).\nAnswer: 5*a + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-seven halves of a micrometer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 0. Suppose 6*t - b*t = -8. Suppose t*a - 35 = -5*z + 21, 3*z - 44 = 4*a. Solve f = -3*l - z, -5*f + 19 = -2*f - 2*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-24)*(969 - 921)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 83 + r - 5*r - 87. Let z be a(4). What is the greatest common factor of 33 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2143009.\nAnswer: 4286018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -0*m. Let u be 16\/7 - 10\/35. Let o(i) = -i + 3 + u - 7 + 2*i. Determine o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 2*j - o, -86 = -2*j + 4*j - 4*o. Is (-15)\/j - (-51612)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 115 + 4 + (2 - 0)*-4. Let s = u + -97. Solve 0 = 3*y + k + 3*k + s, -3*y - 3*k - 9 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -18. Solve -x*h - 5*j + 21 = -2, h + 1 = j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 373202060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1099572, -2199145, -3298720, -4398297, -5497876?\nAnswer: -6597457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -30. Suppose b = -8*a + 6*a + 80. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*((-2*sqrt(33)*2)\/sqrt(3)*6 - (sqrt(275)\/sqrt(45))\/sqrt(5)*-5).\nAnswer: -67*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83244 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*-138*(-1424)\/(-1068)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = 9 - 89. Suppose d*h + s - 7169 = 0, -3*h = 8*s - 7*s - 5376. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 138*j - 16421. Calculate y(119).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 27 + -6)\/((-24)\/(-128))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 35*y - 9. Suppose -4*w + 24 - 10 = -m, -3*m + 33 = 3*w. List the prime factors of a(m).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2392, 4, 2 in decreasing order.\nAnswer: 2392, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/5 + 44*y**4\/5 + 344*y**3\/5 + 212*y**2 + 110*y - 400 = 0 for y.\nAnswer: -8, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -2 + 1 - 2. Suppose -16 + 4 = s*i. Let k(g) be the third derivative of -g**5\/60 + g**3\/6 - 10*g**2. What is k(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 - 20.8. Let a = c - -19. What is the nearest to a in 0.04, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.24 and 11.\nAnswer: 46.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 5*u**2 + 11*u - 4. Let d(b) = 2*b. Let l(x) = 4*d(x) - f(x). Calculate l(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(3\/12)\/(72\/32)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = o + 2*v, 0 = -3*o - 3*v - 9. Calculate the remainder when o is divided by 9\/6*(-4)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2902090.5 months to millennia.\nAnswer: 241.840875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/24585 and 13\/9.\nAnswer: 73755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 66933388*k - 3360058821868908.\nAnswer: -(k - 100400082)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + (-12)\/(-3))*-3. Suppose 5*l + 20 = 2*f - 1, v*l + 81 = 5*f. Calculate the least common multiple of f and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15769 + 15870. Calculate the remainder when 102 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-7))\/(((-96)\/28)\/8). Let t(m) = m**3 + m**2 - 4*m + 1. Let q be t(-3). Let o = 61\/2 + -30. Which is the closest to o? (a) -4 (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415 is divided by 234.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 402340 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 16.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y**3 + 1 - 4 - 2*y - 8*y**3 + 4*y**2. Suppose 0 = -2*i - 3*v - 23, -2*v + 19 = -i - 5*v. Determine b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 6. Let f = 5.4 - -0.6. Let n = f + k. Which is the smallest value? (a) n (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v**3 + v**2 + 4*v + 7. Let h be l(-2). Let j = h + 114. What is the remainder when 18 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2. Let t be 164\/(-10) + 2\/5. Let z be ((-3)\/(-2))\/(6\/t). What is the smallest common multiple of a(z) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 99?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 3\/3 - -15. Let u = m - 12. Suppose -2*r = -u*r - 12. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 0*g + 2*g)*(-6*g + 2*g - 3*g).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 239, 286, 351, 440, 559, 714?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*b = 80*b + h - 25, 3*b + 10 = 5*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtmmddqddqdiqmddmddq. Give prob of sequence dqd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4640201000 to the nearest 1000000.\nAnswer: -4640000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -28, -19, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19483 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -53326, -57 in descending order.\nAnswer: 1, -3, -57, -53326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1467 - 0.2533. What is the nearest to 1 in r, -0.1, -11, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3214 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/2)\/((-226)\/7006). Solve b*l = 204*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 14.5. Let h be -2 - 4\/(12\/(-15)). Let o be (-20)\/(-75)*h\/2. Which is the closest to o? (a) 0.1 (b) g (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26d295 (base 16) in base 7?\nAnswer: -30424501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/3 + (-1)\/6*2. Let u = -2 + 6. Suppose -u = -2*r + c. Solve -r = -2*g + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -55, 45 in descending order.\nAnswer: 45, 5, 4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1.93. Let y = k + 5.07. Let p = 9 - y. What is the second biggest value in 5, -2\/19, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 569108 - -4?\nAnswer: 56910c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 26. Let c be 1235\/2 - 15\/q. Suppose 3*s - c = -200. Does 28 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277964*k - 35*k**3 + 22*k**3 - 277964*k.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 866, 2112, 3974, 6458, 9570, 13316, 17702, 22734?\nAnswer: 28418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 1 - 1)*(-317*z + 1965815*z**2 - 412*z - 1965813*z**2) to the form b + h*z**3 + l*z + s*z**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 27*o**3 - 60081*o**2 + 432552*o - 93156 = 0.\nAnswer: 2\/9, 7, 2218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*y = -0*y + 2, 0 = 5*b - 4*y. Suppose -4*m - 16 = -4*s + m, 3*s = -m + 12. Let u(l) = 0 + s - 4*l + 2. Give u(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166405534.\nAnswer: 2, 19, 277, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 13 = -5*w, 0*l - 2*l - 8 = -2*w. Suppose -i - 3*i - g = 265, -80 = i + w*g. Let b = -124 - i. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56.244 + 0.756. What is the second biggest value in -11, 2\/5, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109819, 109373, 108625, 107575?\nAnswer: 106223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*a - 445*a - 50160 = -770*a - 599*a for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 - 1 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a**3 - 64*a**2 + 112*a + 821. Determine p(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251806, 251678, 251550, 251422, 251294?\nAnswer: 251166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - 127.94. Which is the third smallest value? (a) -2 (b) 4 (c) l (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(-39)*(-65)\/49. Let m = 11\/49 - w. Factor m*k**2 + 0 + 8\/3*k.\nAnswer: 2*k*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgpx when four letters picked without replacement from gpxzxxxxgxgzxzxgggx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 387005 and 464.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 10. What is the lowest common multiple of y(-8) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:01 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22550, -22203, -21620, -20801, -19746?\n\"Answer: 118*n**2 - 7*n - 22661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -50*l**2 + 26*l**2 - 1 + 23*l**2 + 0. Let y(s) = -2*s**2 + s**3 + 0*s**3 - 315578 + 315576. Determine 10*q(o) - 5*y(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.841, 9\/7, -5, -0.1 in ascending order.\nAnswer: -5, -2.841, -0.1, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 4*l + 5. Let s be c(4). Suppose -3 = 2*v - s. Let p(x) = 19*x - 1. Is 7 a factor of p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12100570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-12) - -1)\/(66\/176). Determine f so that 27\/5 - 18\/5*f + 3\/5*f**j = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9619 divided by 1.\nAnswer: 9619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9902 and 9.\nAnswer: 89118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(5\/4))**(-15\/8)\/(z**16*z\/z**4))**(-2\/11) assuming z is positive.\nAnswer: z**(401\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*v + 66, -5*v + 5*l = -47 - 58. Let s be (3 - 6) + v\/10. What is the second biggest value in s, 0.1, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s - 1\/120*s**5 + 0 + 1\/6*s**3 - 1\/48*s**4 - s**2. Let d(r) = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:12 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2388.509 + -2387. Let b = w - 1.5719. Let r = -0.058 - b. What is r rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 + 564*b**3 + 40320*b**2 + 78400*b = 0. What is b?\nAnswer: -140, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14 - -5)*(3 - 4). Let t = w + 24. Let k(h) = h**2 - 5*h + 6. Give k(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.42802 + 0.73813. Round l to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*t - 10, -4 = -3*x + 2*t - 3*t. Let h be 3\/(2 - (3 - x)). Suppose 2*w + 5*r - 4 + h = 0, 2*r = -w. Is -2 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 36 = -4*i, 3*i - 5*u = 51 - 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 5*v + 2. Let j be c(-5). Suppose 0 = j*f + 3*b - 30, -2*f - b + 0*b + 26 = 0. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r, 3*y = -5*r + 43 - 9. Let o(u) = 0*u - y*u - 3 - u + 3*u. Let x(j) = 3*j + 10. Let a be (-20)\/(-3) + (-2)\/(-6). Calculate a*o(v) + 2*x(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*t**2 + 3505*t + 288*t**3 - 3507*t + t**5 - 66*t**3 - 144*t**2 wrt t.\nAnswer: 60*t**2 + 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5425\/50)\/31)\/(28\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + h + 6175 = u, -5*u + 2*h = -7715. Let z = -1094 + u. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s = -10. Sort 4, -9, s in decreasing order.\nAnswer: 4, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -6 - (0 + (-1 - -7))) + -13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 4 = -16*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 16 = a, 5*w + 4*a - 639 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -682 + 685. Let d(s) = 8*s**2 + 4*s. Let t(x) = -9*x**2 - 5*x. Calculate w*t(i) + 4*d(i).\nAnswer: 5*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5 + 4*n**4 + 44*n**3 - 194*n**2 + 245*n - 98 = 0.\nAnswer: -7, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1690*d**5 + 2020*d?\nAnswer: 33800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -56 + 63 + -95.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*h - 85*h + 1189 - h**2 + 1113 - 3441 + 1139.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 9*l + 4. Let n be y(-8). Let a(h) = h**2 + 4*h + 6. Give a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3509, -7035, -10587, -14177, -17817, -21519, -25295?\nAnswer: -29157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/114*15 - (-2 - -5).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 48 - 11*w + 0*w - w - w. List the prime factors of m(-17).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20949687 and 140679?\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(121) + sqrt(121) + sqrt(121) - sqrt(121)))\/(sqrt(99)\/(1*sqrt(9))).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -1.1, 5\/4, 603\/4, -5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103836 divided by -8?\nAnswer: 25959\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phlxlplphhll. Give prob of sequence lhl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 19*q**3 + 458*q**2 + 2742*q + 61. Give k(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 79. Let a = j + -8. Let c = 57 + a. Calculate the highest common factor of 92 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7899.72 years to months.\nAnswer: 94796.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 27 (c) -4 (d) -1\/8 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358975098 divided by 54.\nAnswer: -6647687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 64 = -2*n, 0 = 3*n - 3*c - 78. Solve -20*x - n = 31 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13544782?\nAnswer: 2, 6772391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58501.\nAnswer: 19, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 12*k**2 - 2*k + 3. Let a be r(12). Let s be (2\/9 + (-52)\/72)*0. Sort a, -3, 2, s in increasing order.\nAnswer: a, -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 5*n**4\/2 - 5*n**3\/3 - 9*n**2 + 170*n. What is the tens digit of w(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 3*t - 11. Let m(r) = 4*r**2 - 14*r + 64. Let p(b) = 5*f(b) + m(b). Give p(8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13 - 83 + 17*g**2 - 6*g + 8*g - 4*g**4 + 3*g**4 wrt g?\nAnswer: -12*g**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216632566 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50430 - -7?\nAnswer: 50437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 14*t**2 - 11*t - 14. Suppose -7*c - 49 - 49 = 0. What is the tens digit of s(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {c: 1, a: 2, t: 1, h: 1, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 (base 9) in base 4?\nAnswer: 13221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*k*l**3*q**3 - b*k*l**2*q**3 - b*k*l**2*q + b*l**2*q**2 + 73*k*l**3*q**3 - 14*k*l - 2*k*q**3 wrt l?\nAnswer: 6*b*k*q**3 + 438*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90, 355, 794, 1407, 2194?\n\"Answer: 87*n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2*33\/12). What is the second biggest value in -3\/5, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 132 and 132 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 20. Let x be (-3*v)\/4 + 7. Solve -x*i - i + 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -264*y**6 + 3*y**5 - 894*y**3 + 10459118*y**2.\nAnswer: -31680*y**3 + 180*y**2 - 5364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**6\/3 - 156*i**5\/5 + 973*i**4 - 8856*i**3 - 54675*i**2 - 78732*i - 7727. Suppose w(g) = 0. Calculate g.\nAnswer: -2, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*x - 708 = -193. Solve 4*q + 8 = 4*k, 0 = -5*k - x*q + 2*q - 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 17*q - 32. Let k be (-23 - q)*(-4)\/12. Solve -z = -k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b2 (base 14) to base 15.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2677111570.\nAnswer: 2, 5, 7, 780499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24008, -48017, -72026?\nAnswer: -96035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1907 - 258*s + 1907 + (s + 3*s - 5*s)*(-6 + 4 + 4) in the form x*s + p and give x.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 76*x - 5634. Let d be s(75). What is the greatest common divisor of 366 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*s + 195*s - 79*s - 56*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yey when three letters picked without replacement from {r: 4, e: 1, y: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/102 and 137\/42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -158872.38 minus -0.468?\nAnswer: -158871.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 3*k)*(0*k + k - 2*k) + (0 + 0 + 17*k)*(-25 + 6*k + 25))*(-2 - 1 + 1) to the form l*k + d*k**2 + x and give d.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - s - 2*s + (-2 + 2 + 1)*(-6*s - 12 + 12))*(3*s - 5*s - s)*(-2*s - 2*s - 4*s) to o*s**3 + u + a*s + v*s**2 and give o.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-2)*o*o**(3\/7)\/o*(o\/o**(-1\/12))**(-31) assuming o is positive.\nAnswer: o**(-2533\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -818, -1641, -2464, -3287, -4110?\n\"Answer: -823*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/7))\/(t\/t**(-11)) assuming t is positive.\nAnswer: t**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10971 - -10990. Solve -2*o - q = 3*l, -19*o = -15*o + 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ca2 (base 14) to base 9\nAnswer: -7160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) 1\/6 (c) -5\/3 (d) 9156 (e) 2\/13 (f) -3 (g) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + (364 - 366) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32975389?\nAnswer: 101, 163, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m - 19. Calculate s(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 664107196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-2)*((-10)\/(-15) + 0). Which is the nearest to -0.1? (a) 4 (b) -1\/3 (c) x (d) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 433 - 428. Let a(z) be the first derivative of 1\/35*z**q + 5\/28*z**4 + 2 + 0*z - 2\/21*z**3 - 1\/7*z**6 + 0*z**2. Suppose a(d) = 0. Calculate d.\nAnswer: -1, 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -30, -61.61, -0.001, -1\/5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 13*c - 136. Let o be r(7). Calculate the highest common factor of 196 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*2 + -5 + sqrt(104)\/(sqrt(40)\/sqrt(5)) + 1.\nAnswer: -4 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*q + 2865*q = -988*q + 287160 - 8260 for q.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 20*d - 8 - 5\/3*d**3 + 0*d**2. What is m in i(m) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8903780, 8903738, 8903668, 8903570, 8903444, 8903290, 8903108?\nAnswer: 8902898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*n - 181 = 0, 17*h + 102 = 14*h + 4*n. Let k be (-72)\/h + 6\/57. Factor 2\/9*v**k - 8\/9*v + 2\/3.\nAnswer: 2*(v - 3)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Suppose t - s = 1. Let r(u) = -10*u**2 + 13*u - 2. Let z(l) = 7*l**2 - 9*l + 1. Let j(a) = -5*r(a) - 7*z(a). Determine j(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2564, -24877, -62074, -114161, -181144?\nAnswer: -263029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490461?\nAnswer: 3, 163487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 14*p**2 - 10*p + 20. Is r(9) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1195*h**3 - 1169*h**2 wrt h?\nAnswer: -7170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let u be i\/(-6) + (-76)\/6. Let l = -4 - u. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - 6) + 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 8*r + 4. Let l be x(-3). Let q = 14 + l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4842979 to the nearest integer?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3 - 736*l**2 + 740*l = 0. Calculate l.\nAnswer: -185, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*r + 2027 = 0, -4*p = -3*p - 4*r + 502. Let z = p + 581. Calculate the lowest common multiple of 18 and z.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 8 - 8*z + 3)*(-2 + 2 - z) to the form a*z + u*z**2 + c and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = i + 2*n, n - 3 = 0. Solve -2*g - i*g = -3*m - 10, 4 = 4*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -303*c**4 + 70*c**3 - 26560*c**2 - c?\nAnswer: -7272*c + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 793*f - 64079. Let n be i(81). Suppose 4*b - 218 - 230 = 0. Calculate the greatest common factor of b and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176645183*b**6 - 15*b**2 - 60535?\nAnswer: 21197421960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z - 127. Let m be q(-25). What is the closest to -5 in m, -20, -0.2, 4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-15)\/(-120)*((-342)\/(-45))\/2.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*j - 80, j + 4*j - 4*x - 125 = 0. Calculate the remainder when 543 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -15. Let r(y) = 42*y - 6 + 1 + 4. Is r(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**2 + 250*m + 45. Let s be q(36). Sort -10, s, 2 in decreasing order.\nAnswer: 2, -10, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 45*p**2 + 14*p - 22. Let j(d) = 11*d**2 + 3*d - 5. Let l(f) = 9*j(f) - 2*q(f). Give l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 7*w**2 + 2*w - 4. Let y be (6\/1)\/((-9)\/24). Let t = y - -8. What is the units digit of m(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.72 + -26.9. Is -0.23 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o**(2\/3)*o)\/o))\/o)\/o*o\/(o**(2\/11)\/o*o)*o*o)\/(o\/(o\/(o*o**(1\/4)))*o*o**1*o*o) assuming o is positive.\nAnswer: o**(-541\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/12*(0 - -21428) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-8))\/(1\/(-2)). Let x be (-4)\/(1\/d*1). Let c(v) = -v**3 + 4*v**2 + 2*v + 2. Give c(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4, 1, -5, -615, -7 in decreasing order.\nAnswer: 4, 1, -2, -4, -5, -7, -615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 30 - 66 + d**2 - 4*d + 33. Let r be j(-2). Solve s = 10 - r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = -4*q - 5*n, -3 = 3*q - 2*n. Sort q, -4, 5 in descending order.\nAnswer: 5, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 20, 2205\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -2. Calculate the remainder when 9 is divided by (-6)\/d*(-6 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 14*x - 99. Suppose -16*c - 20 - x = 0. Sort c, -6, 4, -1 in descending order.\nAnswer: 4, -1, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 12. Is f(10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1814760, -1814719, -1814678, -1814637, -1814596, -1814555?\n\"Answer: 41*x - 1814801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353554353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-13)*(-32)\/400*5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = -8*b + 5*b + 21, 2*b + 11 = -5*n - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(189\/102) + (-40)\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 2:23 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -96533\/4 (b) -0.3 (c) 50.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/18)\/((-2)\/6)*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 2, e: 1}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 28 = d. What is the highest common factor of d and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238.9335 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3fb3e6 (base 16) to base 4.\nAnswer: -33323033212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/2? (a) -5 (b) -2 (c) 9 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 84 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113\/(-452) - 93\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 8\/7, -1, -5, 689, 102, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5119 divided by 1.\nAnswer: -5119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -40613981.29 rounded to the nearest 100000?\nAnswer: -40600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l*(l**(-1\/7)*l)\/l*(l*l\/(l\/((l**(-5)\/l)\/l)))\/((l\/(l**6\/l))\/l))**(-32) assuming l is positive.\nAnswer: l**(704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**8)**(-3\/28)\/(x\/(x\/(x*x**(-26))))**38 assuming x is positive.\nAnswer: x**(13309\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-3)*(3 + (-201399)\/34)?\nAnswer: 2, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 30*l**2 + 9*l + 40. Let a = 24 + 6. List the prime factors of d(a).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 3*y. Let a(t) = 0*t**y + 0*t**2 - t**2. Let w(v) = 5*v. Calculate a(w(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 d when three letters picked without replacement from kddkwhr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 + 159. Suppose -2*w + 6 = 0, -2 = b*d - w - 13. Let x(s) = -s. Let a(m) = m. Calculate d*x(z) + 5*a(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64287 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -20 - (17 + -4 - 28)) + 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 21*w**2 - 10*w + 11. List the prime factors of z(22).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50748 - 34975. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6970*s**2 - 13839*s**2 - 8102*s**2.\nAnswer: -28911*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/20028981 and 11\/375879?\nAnswer: 140202867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:21 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205863*r + 111*r**2 + 114*r**2 - 205863*r - 219*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*a - 26*a - 15*a)*(0*a - 4*a + a).\nAnswer: 189*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4597404?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 2\/9, 0.023, -176, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0972 rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1265.7601 to zero dps.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30398103 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*v**2 + 14*v**3 + 7 - 22*v**3 + 0 - 482*v**2.\nAnswer: -8*v**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v*v\/v**(-1\/10))*v)**(-7\/3)\/(v**(-12\/11)\/v)**(-1\/9) assuming v is positive.\nAnswer: v**(1\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -6*n + 3552, -3*a - 4*n + 8720 = -1936. What is the greatest common factor of 480 and a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -268\/7 in descending order.\nAnswer: 7, -4, -268\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19276 and 0.5.\nAnswer: 9638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36973 - 267763 = -35*t. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 46 = 34. Let n = -34 - -34. Sort 3, s, n in decreasing order.\nAnswer: 3, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.405 - 0.525. Let z = l - -0.22. Which is the third smallest value? (a) 0.4 (b) -0.5 (c) z (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2659 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(-3) - (-23010)\/531?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 1\/60*o**5 - 4*o**2 + 0 + 2\/3*o**3 - 1\/8*o**4 + 0*o. Let s be c(3). Solve -s*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34955 or -34979?\nAnswer: -34979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/16416 and -5\/2052?\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*b**2 + 1135*b**2 - 695*b**2.\nAnswer: 838*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 - 78. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5937.009 millilitres to litres.\nAnswer: 5.937009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and -49998.61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10840895 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 s when four letters picked without replacement from {s: 10, a: 3, c: 3, q: 4}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/50*(-90)\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let j(f) = -f**2 + 6*f + 16. Let h be j(8). Let m(i) be the second derivative of -2\/3*i**3 - i + h*i**2 + 0. Give m(k(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002338901006 rounded to 6 dps?\nAnswer: 0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 + 521*z - 685. Determine x(103).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/123 and -19\/12?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + y = 135, 3*z - 4*y - 130 = y. Calculate the common denominator of -59\/6 and ((-14)\/z)\/((-32)\/10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9087 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*b**2 + 17*b**2 - 10*b**2)*(0*b**2 - b**2 - 4*b**2 + (-4*b - b + 3*b)*(-b + 3*b + 0*b)) to the form y*b**3 + n + i*b**2 + c*b + g*b**4 and give g.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 9*n + 15. Let j be o(10). Suppose 4*p = p + 2*v + 79, -p = j*v - 15. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 2*i + 23*z + 59, 5*z = 2*i - 31. Let g = -8 + 4. Is i > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 0.06 (c) 1\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + 22. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, w: 1, a: 1, x: 1, v: 1}. What is prob of sequence oooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 690 and -0.2.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 18, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3624*m*r + 785*m + 2*r + 9 with respect to r.\nAnswer: -3624*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 10*f - 3. Let n(a) = -3*a - 10 + 16*a + a**2 - 6*a + 4*a. Suppose 22 = 4*r - 6*r. Let d be n(r). Determine s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 70*t - 86*t + 6 - 15*t**2 - 2 + t**3. Suppose 0 = -4*q - 2*a + 66, 6*a - 5*a + 63 = 4*q. Let y be l(q). Let m(g) = -g**2 + 4*g - 6. What is m(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -472, 4, -3, -2, 34 in decreasing order.\nAnswer: 34, 4, -2, -3, -14, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.151 in 0.5, -14, -0.5, 6, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*w - 25, 11 = 3*w + 2*y - 6. Suppose 0 = -2*k + 3*k - w. Suppose k*b - 15 = -0*b. Solve x - b = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by -15.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 271674751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 14*r**2 + 20*r + 81. Let u be l(-15). Let i be 192\/102 + u\/51. Solve 0 = s + 2 + i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -4964.\nAnswer: -992.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 18002*r + 10. Let p = -2 - 3. Let i be m(p). Round i to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3 - 1. Calculate the remainder when 13 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14867890951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -53260 and -1?\nAnswer: 53259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a + 275 - 49 - 3*a - 76 - 59 - 91.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*x + 28, 5*x - 48 = 5*m - 18. Put -3, x, -14, -6 in descending order.\nAnswer: x, -3, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 1515 (c) 2\/5 (d) 3\/8 (e) 10\/9 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 9*n - 34. Let f be s(-7). What is the greatest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 22*h - 212. Does 42 divide r(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 75*f + 85*f - 22 = 0, 2*f - 6 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15375 and 1375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 2*t**2 + 3*t**2 + (t - 4*t + t)*(-2*t + t - t) + 1 + t**2 - 1 + 4*t**2 - t**2 - 2*t**2)*(-3*t - 2 + 2).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-3) + (-4)\/12. Let g = -2 + u. Suppose c = -g*c + 31. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, r: 3}. Give prob of picking 3 i.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s - 18. Let b be q(5). Suppose 0 = b*v + 164 - 52. What is the units digit of ((-4)\/v)\/(4\/1264)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14367*z - 11181 wrt z.\nAnswer: -14367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylcuvzlylvyl. Give prob of picking 2 v, 1 z, and 1 u.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771383273.\nAnswer: 771383273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 j when four letters picked without replacement from {v: 3, q: 6, j: 8}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 403, 1276, 2365, 3676, 5215, 6988?\n\"Answer: i**3 + 102*i**2 + 560*i - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 6415*a**3 + 6433*a**3.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.2 (c) 141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d - 6*d**2 - 24*d + 14*d**2. Let o(r) = 2*r**2. Calculate h(o(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v*v**(-1\/3)*v)**(-33) assuming v is positive.\nAnswer: v**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 1, w: 1, d: 1, u: 1, l: 2}. What is prob of picking 1 x and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100033 + -5?\nAnswer: -100042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -7*s**4\/4 + 4*s**3\/3 + 4*s**2 + 5*s - 234. Suppose 0*o + 6 = -2*o. Is u(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -20. Which is bigger: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(4)*5)**2 - (-1 + sqrt(11) + -1)) + -3.\nAnswer: -sqrt(11) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -502*t + 6441. Calculate c(17).\nAnswer: -2093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*z + 4966 - 3286 = 0 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)*40\/10. Let q(m) = -2*m + 5. What is q(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 21. Let z be q(-9). Which is greater: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**6 + 1157*i**4 - 8*i**3 - 2*i**2 - 6420?\nAnswer: -120*i**3 + 27768*i - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1540167 is divided by 1165.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -8251.\nAnswer: 18\/8251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 0 - 1*-1. Suppose 3*y = 3*k + 15, -40*k + 5 = y - 38*k. Calculate the remainder when 37 is divided by (y - c\/(-1))*(-231)\/(-66).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 8*o = 10. What is the second derivative of 473*j - 431*j + 6*j**3 + 28*j**o - j**3 wrt j?\nAnswer: 30*j + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 0. Let o be k - (2 - 15\/3). Suppose a - o*a + 12 = 0. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 725 - 728. What is the closest to -0.1 in -4, z, 26, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = -312. Let u(q) be the first derivative of 455*q**2\/2 - 147. Let v(n) = 13*n. Let j(w) = o*v(w) - 3*u(w). Let r(a) = -2*a. Calculate j(r(z)).\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 0)\/(-6) + (-2475)\/(-18)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4644553 is divided by 9537?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-13110)\/(-4))\/5)\/(39\/78).\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1366, 1368, 1372, 1378, 1386, 1396?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -7, -1, 11, 29, 53, 83?\n\"Answer: 3*w**2 - 9*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 6*s. Let f be h(7). Solve -2*t - 2*t = -5*m + 3, 3*t = -m - f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232.43895 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = -4*s. Suppose c = 9 - s. Suppose 4*a + 52 = c*a. What is the highest common divisor of 65 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 20 - 9 = s, 0 = -2*s + m. Which is the nearest to -0.1? (a) -15 (b) -5 (c) -12 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 580831*k**3 + 9584*k - 40 wrt k?\nAnswer: 3484986*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 27. Suppose 0 = x - j - 2, 5*j - y = 2*x - 7*x. Solve -a = -x*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*1)\/(6*sqrt(8)\/sqrt(2)) + 3)**2 + -4 + -3.\nAnswer: 49\/12 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*v + 7 = 0, -7*j + 2*v + 13 = -6*j. Let n be (-4)\/(-5)*10\/4. Solve -n*s + 10 = 4*l - 6, -5*l + 2*s + j = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -124, 85, 560, 1301, 2308, 3581?\n\"Answer: 133*u**2 - 190*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + b + 10 + 5 = 0, -2*p = 4*b + 16. Calculate the greatest common factor of 16 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -349, -348, -347, -346, -345?\n\"Answer: v - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -240*f - 79*f + 197*f + (0 - f + 0)*(4 - 5 - 1) - 3*f + f + f to the form o*f + i and give o.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 495945 or 496205?\nAnswer: 495945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2207155 and 730?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 87?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 2*u + 2*u - 10)*(0 - u + 0) + u**2 - u**2 - u**2 as n*u**2 + a + t*u and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*w**3 - 4 - 7 + 12 + 2 + w**2 in the form q*w**2 + l*w + m + x*w**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 1 + (24 + -11 - -19) + -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 20*a. Calculate d(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**2*q - 3*d**2 + 48*d*q - 2*q - 126 wrt d.\nAnswer: -6*d*q - 6*d + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - 46?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 311.199 * 130.\nAnswer: 40455.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 13) to base 9\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.64 - -60.14. Let s = -60 + p. Put s, 3\/5, -0.3, 4 in ascending order.\nAnswer: s, -0.3, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 - 49*y + 45. Calculate p(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (1*-2 - -1). Let k(z) be the third derivative of -38*z**2 + 1\/60*z**5 + 0 + 0*z + 0*z**4 + 0*z**3. Calculate k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 160, 144, 122, 94, 60, 20?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/(p**(1\/2)*p))*p*(p**(-2\/19)\/p)\/p assuming p is positive.\nAnswer: p**(-23\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m + 174. Let l be b(14). Let u be 30\/34 + 4\/l. Is u bigger than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3*(-2)\/(-18)). Suppose 5*t - 7 = 8. Let f = t - b. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**5\/20 + m**4\/4 + m**3\/2 + 5*m**2\/2 - 80*m. What is f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8019\/17940)\/(3294\/(-36)). Let i = 1\/598 - n. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657929791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5688 = -4*f, -1482 = 4*a - 2*f + 9884. Let b = -1678 - a. Let i be 2\/9 - b\/(-108). What is the greatest common factor of i and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1318.2 + -1313.2. What is the smallest value in 7, x, 0.4, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*o**3 + 801*o**3 + 805*o**3 + 799*o**3 - 3176*o**3.\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:33 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 2*z**2 + 36*z + 10. What is i(-6)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 9*w**3 + w.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*n - 3480015, 5*n - 4*f + 0*f = 8699988. What is n rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (100\/(-30))\/((-1)\/51). Suppose 7*v - d = 2*v. Suppose 0 = 4*p + 4*s - v - 50, -5*s + 5 = 0. 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(j) = 3*j**3 + 10*j**2 + 7*j + 3. Let p(k) = 0*k**2 + 2*k**3 + 0*k**3 + 5*k + 2 + 0 + 7*k**2. Determine -7*p(a) + 5*x(a).\nAnswer: a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176931166, 176931164, 176931162, 176931160, 176931158, 176931156?\nAnswer: 176931154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g - 24. Suppose -6*j + 7 = -5*j. Let m be u(j). Let p(t) = -20 + 7*t - 4*t + m - 20. What is p(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-29)\/(-24) + -13 + (-511)\/(-42). Sort -5, x, 4 in increasing order.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2 - 2 - 2*t**2. Let w(y) be the third derivative of 0 + 0*y**3 - y + 7\/8*y**4 - 38*y**2. Give w(l(b)).\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/80 and 67\/1344532.\nAnswer: 26890640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 7687113.\nAnswer: 53809791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yayyyayayyyyyyyyyyya. What is prob of sequence ya?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5138 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -3\/5, -0.06?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, i: 1, k: 4, y: 3, h: 4, r: 1}. What is prob of picking 2 y?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**6\/40 + j**3\/6 + j**2\/2 + 3*j. Let c(d) be the first derivative of m(d). Find the first derivative of c(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18587, 18438, 18305, 18200, 18135?\nAnswer: 18122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2440682 is divided by 5106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -71\/3. Sort f, 0.03, 1 in descending order.\nAnswer: 1, f, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1559607 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i + 22*i + 15*i)*((-3*i**3 + 2*i**3 - 2*i**3)*(-5*i - 5*i + 9*i) + 0*i**4 - 2*i**4 + 4*i**4 + (-2*i**4 + 0 + 0)*(-1 + 1 - 1)).\nAnswer: 161*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 13. Let o(w) = 3*w + w - k*w. Let g(j) = -9*j. Give g(o(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0*m = 12, -45*l + 10 = -44*l - 3*m + 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8317 + -8321. Which is the closest to i? (a) -0.01 (b) 0.4 (c) -170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 24*f = 3390. Solve -f = -7*t - 1653 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5952\/(-432) + (-2 - (-32)\/18))*-4. Calculate the greatest common divisor of y and 512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(-3 + sqrt(19))*-2 + -4 + -1 + sqrt(931))**2*5.\nAnswer: -127900 + 21750*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2574\/(-11)*2684\/8723.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -19, -6281, -5, -9 in decreasing order.\nAnswer: 0, -5, -9, -12, -19, -6281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 74.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00624 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 + -2327\/25. Which is the nearest to 34? (a) 2\/9 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 29*l**2 + 15*l + 12. Let x(g) = -5*g**2 - 3*g. Let n(k) = m(k) + 4*x(k). Calculate n(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.566 + -0.434. What is the closest to i in 0, 4, 3, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:01 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 13*k - 2*x = 438, 3*k + 3*x - 1251 = 0. What is the remainder when k is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101110100001100 (base 2) to base 14.\nAnswer: 76300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5673*k = 3109*k + 3205*k + 87176 for k.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, 5, -1342, -13, 1, 2 in descending order.\nAnswer: 5, 4, 2, 1, -13, -18, -1342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274*t**4 - 15*t**3 + t**2 + 6*t + 169.\nAnswer: -6576*t - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cadb722 - -1?\nAnswer: -cadb721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 286816.82 rounded to the nearest 1000?\nAnswer: 287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1276850 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41879448 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -434*q - 1717. Determine p(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -40. Suppose -5*s + 119 = -l. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2735932 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*h + 14, 10 = 4*f + 2*h. Suppose 15 = 5*p + 9*k - 4*k, f*p + 3*k = 15. Solve -j = p*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 102111?\nAnswer: 102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 4, 0.5 in descending order.\nAnswer: 4, 0.5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 5 = 0. Let k = -273 + 278. List the prime factors of 7 + k\/(i\/3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23922273*n**3 - 18816663*n**2?\nAnswer: -143533638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422246 (base 9) to base 7.\nAnswer: 2063502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 157. Suppose 8*j - 35 + 75 = 0. Let v(n) = 6*n**2 - 5*n - 15. Let x(f) = 7*f**2 - 6*f - 18. Let t(h) = j*x(h) + 6*v(h). Calculate u(t(p)).\nAnswer: 2*p**2 - 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1146123 (base 12) to base 4.\nAnswer: -30230210223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 1 (c) -0.03 (d) 12.328 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6342 and 85\/24?\nAnswer: 25368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -513 + 511.749. What is d rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppphueneuhde. Give prob of picking 2 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 297*a - 289*a + 88. Let q(m) = 2*m**2 - 2*m - 4. Let s(y) be the second derivative of -y**4\/12 + y**3\/6 + y**2 - 10*y. Give a*s(d) - 6*q(d).\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35437 + -35436.739492. Let j = 0.26 - f. What is j rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-17\/3)*((a*(a*a**(-35)*a)\/a)\/a)\/a*a)\/(a**(2\/29)*a**(8\/9)))**(-2\/13) assuming a is positive.\nAnswer: a**(20684\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 7 - s + 3.\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**3 + 710*w**2 - 705*w = 0.\nAnswer: 0, 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmvwvvvhvvmv. Give prob of picking 1 w and 1 v.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8364.04 decades to years.\nAnswer: 83640.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 61572*n + 1231863. Calculate z(-20).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4577693 centuries?\nAnswer: 0.04577693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - c. Let g be y(-2). Let k be 2\/(-7) - (-4)\/g. Suppose -2*q - 5 + 17 = k. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 532968766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 22. What is the smallest common multiple of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4565\/(-664)*-18*(-38)\/(-4275)\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29845629 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.16, -2\/13, -43?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-30) + (-4)\/(-10). Suppose -5*y + 3*y + 8 = d. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74, 708, 2432, 5792, 11334, 19604, 31148?\n\"Answer: 91*f**3 - f**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/8*-2*-4265*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43880, -87766, -131650, -175532, -219412, -263290?\nAnswer: -307166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - -9)\/(-1 + 2 - 0). Let h(g) = 3*g - 270. Let p be h(v). Let b = -165 - p. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72874958 divided by -26?\nAnswer: -2802883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 7:40 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(48\/(-12))\/((-12)\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 35\/17, 0.08 in decreasing order.\nAnswer: 35\/17, 0.08, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10)*5\/(-2)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(12) + sqrt(48) + sqrt(768)))**2*-6.\nAnswer: -30\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {g: 4, k: 2, s: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 3*a**2 - a - 1. Let i be k(2). Let w = 13 - 7. Let s be (-2)\/(0 + w\/15). Sort 4, s, i in ascending order.\nAnswer: s, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734637.\nAnswer: 3, 71, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**3 - 144*j**3 - 129*j**3.\nAnswer: -292*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 24) + -2 + -1 - -5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 563389.1 years in decades?\nAnswer: 56338.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = 2*t, t - 71 = -70. Solve 0 = b + p + a, 5*b - 11*p = -7*p + 35 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**2 + 36*l + 6. Calculate k(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 12:59 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.596 + -1.7. What is x rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*45.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -30. Let i = p - 0.3. Let k = 5.2999955 + i. Round k to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, 80, 134, 198, 272?\n\"Answer: 5*h**2 + 29*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20682, -20636, -20588, -20538, -20486, -20432?\nAnswer: -20376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*((d\/((d*d**(-2))\/d))\/d)\/d))\/((d*d\/(d*d**(-5)*d))\/d))\/(d*d\/(d\/(d*d**(2\/3))))**(-9))**(-2\/131) assuming d is positive.\nAnswer: d**(-40\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676 + 960 = 21*o - 5*z, 2*o + 5*z - 3*z = o + 18 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101 + 101?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 a when three letters picked without replacement from {r: 1, a: 1, k: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*f + 735 - 83, 5*f - 790 = -5*y. What is the greatest common factor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/13 <= -0.1301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423341 - 13?\nAnswer: 423323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42667 + 393386. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6*n**3 - 382*c**4*n**3 - 5*c**2*n**3 - 56*c**2*n wrt c?\nAnswer: 120*c**3*n**3 - 9168*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/15642*79)\/((-4)\/(-66))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6644542 + -20?\nAnswer: -6644562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537918751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 15*q**2 - 16*q + 27. Let l be m(14). Let o(h) = 1 - 94*h - 280*h - 2. Is o(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28721 is divided by 1914.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2602604 and 7828.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20413410 to the nearest integer?\nAnswer: 4518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -382, -889, -1602, -2521, -3646, -4977?\nAnswer: -6514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 4125180\/7?\nAnswer: 4125180\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4512.39km?\nAnswer: 4512390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186 - -158) + (-5 - ((-4 - 0) + -11)) + -9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7741*r - 4187583 = 7732*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19678\/3715 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t + 1. Let p(c) = -6*c**2 - 5*c - 5. Suppose -143*b + 159*b - 96 = 0. Calculate b*p(w) + 30*f(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 14 = 2*r, 27 - 2 = -5*i. Let k = 2.98 + 0.02. What is the closest to 0.2 in 1\/3, r, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -5*q - 4*j, 329288*q + 2*j = 329292*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:55 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105.6998378 + 105.7. What is b rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -118*v + 113*v + 27610. What are the prime factors of v?\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 52*c**2 + 55*c + 191. Calculate r(-51).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(k**4 + 0 + 0) - 15157*k**4 + 2*k + 7573*k**4 + 7571*k**4 + 45*k**2.\nAnswer: -15*k**4 + 45*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 + 2*t + 52\/11.\nAnswer: -2*(t - 13)*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from llalalaglllgldalglll.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s - 4*s + 16*s)*(-1 + 0 + 2)*(5 - 5 + 8*s)*(-4 + 4 - 2*s).\nAnswer: -336*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/33)\/b)\/b*b*(b*b**(-7\/2))\/b assuming b is positive.\nAnswer: b**(-235\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 1:05 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - 3*q**2 - 3. Let z(s) = 3*s**3 - 4*s**2 - 4. Suppose 3*n + 4*h - 1 = 2*n, -3*h = 2*n + 3. Determine n*z(u) + 4*f(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*q - 11 = 0, -5*t - 5*q - 48 + 58 = 0. Let r = -0.151 + 0.051. Which is the smallest value? (a) 0.3 (b) t (c) r (d) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08 or 0.099?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -59*w**4 + w**3 - 33*w - 1. Let x(g) = -g**4 - g**3 + 1. Let b(n) = -v(n) - x(n). Find the second derivative of b(u) wrt u.\nAnswer: 720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0.4 (c) -2 (d) -1\/2 (e) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -2*j**3\/3 - 2*j**2 + 30*j + 79. Determine c so that w(c) = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43148 divided by -7.\nAnswer: 6164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*l - 3*l. Let a(b) = -b**3 - 4*b**2 - 5*b - 4. Let u be a(-3). Solve 5*g - l = -2*r, 0 = 2*r + u*r + 5*g - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**3 - 13*y + 1. Let c(m) = m**3 - m + 1. Let l(s) = -c(s) + v(s). Find the second derivative of l(w) wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 3*p = -14*w - 10, -3*w = -5*p + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122986883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(2\/9)*b))\/b*b)\/b*b*b\/(b*b**(2\/3)*b))\/((((b\/(b*b**(2\/5)*b))\/b)\/b)\/b**(2\/9)) assuming b is positive.\nAnswer: b**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90486593 - 24443407. What is t rounded to the nearest one million?\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139511130.\nAnswer: 2, 3, 5, 11, 422761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 915 and 47885?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10682 or 10854?\nAnswer: 10682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aae when three letters picked without replacement from {a: 6, e: 1, p: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*n - 135*n - 6006 = 0. Let s be 4\/136*(9285 + 1). Let y = n + s. Which is greater: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3878.\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274080 is divided by 9135.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 1. Let i(a) = -3*a + 1. Let p(m) = 4*i(m) + 9*r(m). Let t be p(0). What is the nearest to 0 in 0, 4, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 0, 3*y = 3*k + 18406 + 14603. Let w be (-54)\/12 - 6\/(-4). Let d be 50*(y - (-9)\/w). Round d to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 30*q - 56*q + 35*q + 18*q. Let u(m) = m. What is g(u(p))?\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 = -6*f. Sort 19, 4, f.\nAnswer: f, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437270388?\nAnswer: 2, 3, 23, 587, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(sqrt(432) + -4 - sqrt(432)) + -4)*-1)**2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 8*c**2 - 22*c**2 + 14*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*(-1 - -7). Let v(b) = 6*b + 1. Let k be v(1). Suppose 5*h - k*h = -2. Put h, q, 4 in decreasing order.\nAnswer: 4, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59106150 rounded to the nearest ten thousand?\nAnswer: -59110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3263*t - 205571. Calculate w(63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxoyxyxouuuyxuxxoxy. Give prob of picking 3 x and 1 y.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1468*n**2 - 2 - 362*n**2 + 2 - 542*n**2 - 239*n**2.\nAnswer: 325*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, i: 6, o: 3, m: 3, r: 1}. Give prob of sequence ir.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 - 7*l + 8. Let x be y(2). Solve -10*b + x = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18045*p = 17867*p + 4062 + 3236 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 times 1041.4?\nAnswer: -3957.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 1\/8, 0.06, 0.51?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)*-1*5)\/(sqrt(60)\/(sqrt(560)\/sqrt(7) + sqrt(5))) + 1.\nAnswer: -50*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.3452 rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 7*c - 11. Let i be j(6). Which is smaller: i or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -166*i + 778 wrt i.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/3, -6, -2, 2.\nAnswer: -6, -2, 1, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 2*l. Let q be s(2). Suppose -g + 190000 = q*g. What is g rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, 2, 188 in ascending order.\nAnswer: -9, 1, 2, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/130 and 55\/936.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 2*f**2 + 4*f - 1. Let i be x(-3). Let v = -45\/2 - i. Let z = 5 - 3. Sort -1\/6, v, z.\nAnswer: v, -1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 3*h + 1. Let b(x) = 12*x**3 - x**2 - x + 1. What is the remainder when u(4) is divided by b(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + 1) - 3 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o**3 + o - 7. Let u(v) = 7*v**3 - 4. Suppose 3*a + 13 - 1 = 0. Let p(i) = a*f(i) + 7*u(i). Find the second derivative of p(w) wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, 5, 1, -42 in ascending order.\nAnswer: -42, -11, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4982594.7 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11680987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 17 = -2*c. Let d = 34341 + -34316. What is the remainder when d is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.1. Let a = -4017 + 4027. Put -0.5, a, k, -4\/3 in ascending order.\nAnswer: -4\/3, -0.5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 9. Let t be s(6). Suppose 0*h - t = 3*h. Suppose -43*v - 232 = -22*v + 37*v. Sort -3, h, v, 0 in ascending order.\nAnswer: v, -3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 2, 1, 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19265.\nAnswer: 5, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 + z + 9. Let p be c(-6). Suppose -2*l - l = 2*x - 2051, 0 = -5*x + p*l + 5096. Round x to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2 - 13*b + 6. Let x(i) = 15*i**2 + 27*i - 13. Let p(y) = 13*w(y) + 6*x(y). What is p(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488 is divided by 413.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 3*k. Let o(w) = -2*w - 3. Let p(j) = -2*j - 3. Let c(q) = -3*o(q) + 4*p(q). Let i be c(-4). Solve -2*r = -4*g + 28, -i*g + g = k*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldp when three letters picked without replacement from dpdlhhd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Suppose 31*l - 6 = 29*l. Suppose 2*o - l*x - 27 = -o, 0 = 3*o - 2*x - 23. Sort o, j, 3 in ascending order.\nAnswer: j, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k*l**3*y - 1947*k*l**3 - 92*l**2*y wrt y?\nAnswer: -k*l**3 - 92*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9408 by 4704.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190815586 and 25298.\nAnswer: 3614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.7 - -2.7. Let u = 19.9 + -2.8. Let y = u + q. Put 4, y, -3 in ascending order.\nAnswer: -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8752359 + 551359504\/63. Let x = -1865\/3 - y. What is the common denominator of -17\/3 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 1 - (0 - 2). Suppose 5*h + 110 = 4*t, -3*t + h + 88 = -y*t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 82679. Let h(j) = -11*j. Determine h(v(k)).\nAnswer: -44*k + 909469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1*sqrt(243))\/(sqrt(9)*-3*-5).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35327905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34128 and 7343919.\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156816 and 5580?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 13. Let b(i) = 3*i**3 + 2*i**2 - 2*i + 1. Calculate b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + 5. Suppose 3*l + 25 = 4*a, -4*a = l - 2*l - 11. Suppose 0 = -4*b - 0*b + 16. Let d(h) = 11 - b - 9*h + 4. Give l*f(o) + 3*d(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12*g + 3. Let i(b) = -3*b - 1. Let v(o) = -5*i(o) - u(o). Let q(l) = 9*l + 7. Give -2*q(r) + 7*v(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f - 5*f + 9*f in the form l + b*f and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y - 130 = -o, -3*y = 0. Calculate the remainder when o is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 g when three letters picked without replacement from gwpwwgw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*344\/64 + 15\/3.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -8\/7*z + 2\/7*z**3 - 1 + 0*z**2 - 1\/14*z**4. Find s such that u(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11348237?\nAnswer: 59, 192343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*r + 7, -2*r = 3 - 5. Let x be 3 - 15 - 0\/z. Find the common denominator of 23\/x - (4 + -6) and 77\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81555 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -19. Suppose 0 = 2*l - 5*r - 24, k*l - 2*r = 103 - 1. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q - 5*q**2 + 3*q + 3*q**2 + 2*q**3 + (2*q - 5*q - 2*q)*(0*q + 4*q**2 + 0*q).\nAnswer: -18*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 217166 + -5?\nAnswer: 217161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 = -4*z, 3*z + 5*q = -0*q - 19. Let j = -2 + 5. Suppose j*o = -z*o. Solve 4*p - 3*p = o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 40 = -0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 4\/3, -31, -0.2 in decreasing order.\nAnswer: 12, 4\/3, -0.2, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f**2 - 2 + 1\/12*f**4 - f + 0*f**3. Let u(y) be the first derivative of k(y). Let b(g) = -2*g. Determine b(u(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*b - 6142 = -8980 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179827545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1194025 or -1194007?\nAnswer: -1194007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -198126, -396212, -594312, -792432, -990578, -1188756?\n\"Answer: -n**3 - n**2 - 198076*n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 167*o + 589. Give u(-80).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Calculate v(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3*u*u*u\/u**(-2\/7)*u**(2\/3)\/((u**4*u)\/u) assuming u is positive.\nAnswer: u**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4793 or -4787?\nAnswer: -4793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.129388 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + 4*j = 12*r - 12, -2*r + 3 = j. Let s be (-45)\/(-20) + 2\/(-8). Solve 1 = r*n - 0*k + 3*k, -s*n = -5*k - 33 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Suppose 2*k + 20 = -2*k. Let u(i) = 4*i + 4. Let s(d) = -20*d - 21. Let r(n) = -2*s(n) - 11*u(n). What is k*m(j) - r(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 34896*k + 24. Let y(h) = 34895*h + 26. Let x(g) = 3*r(g) - 2*y(g). Let p be x(10). What is p rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**3*f)\/f)**24*f\/(f\/f**(2\/19)*f)*f**(2\/21) assuming f is positive.\nAnswer: f**(37985\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3 and (44\/6)\/((-112)\/36).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11581 and 239.84.\nAnswer: -11341.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125458741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -11. Which is greater: 4 or n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5)*-2*40\/(-56). What is the biggest value in r, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 4*z - 2*y + 202, -16 = 4*y. Let m = 1037 + -722. Calculate the greatest common factor of z and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2596943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 14. Let a(w) = -3*w**3 - 2*w**2 + 1. Let g be a(q). Put -4, -3, g in descending order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/13575 and 113\/321450.\nAnswer: 58182450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.22 to zero dps.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)*i**(1\/18)\/i)\/(i**(1\/3))**48 assuming i is positive.\nAnswer: i**(-601\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 + 1424*p\/3 - 126736\/3.\nAnswer: -4*(p - 178)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(7\/3)*g*g*g)\/g**(-3\/7)*(g*g**(-13)*g)\/(g\/g**(-2\/19)) assuming g is positive.\nAnswer: g**(-2531\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -111010000 (base 2) to base 16\nAnswer: -1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38495441 and 215731.\nAnswer: 5017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.1. Let z be (9\/16)\/((-12)\/8). Suppose -5*h = q + q - 1, -5*q + 4*h + 19 = 0. Which is the closest to p? (a) q (b) -2\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*l, -5*a = 3*l - 4*a - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + 5 + sqrt(288)*-2) + ((sqrt(288) + 2)*1 - (sqrt(288)*-2*-2 - sqrt(288))))**2.\nAnswer: -5280*sqrt(2) + 29284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*o + 172, 0 = -111*v + 108*v - 5*o + 436. Solve 0 = 10*r + v - 132 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.54*0.5.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/32)\/(2\/4). Let h(z) be the first derivative of 3\/4*z**2 - w*z**3 + 5 + 0*z. Factor h(m).\nAnswer: -3*m*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 2 - (-1 - 1). Suppose -3*r + 4*p - 2 = v, -2*p = -5*r + 3*r. Let 6\/7*s + 3\/7*s**r + 3\/7 = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -27*((-21042)\/(-27))\/(-14)?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 + 2*c + 1. Let h be n(2). Let r = h - -10. Solve r*j - j + 2 = -2*v, -2*j - 5*v = -10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3)**(-4)*k*(k**(7\/2)*k)\/k*k**(-4) assuming k is positive.\nAnswer: k**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 9*r - 14. Give w(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*a**4*f + a**3*f - 5*a*f - 5*a - f wrt a?\nAnswer: -612*a**2*f + 6*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**7\/2520 - a**6\/270 + a**5\/90 - 11*a**3\/3 + 6. Let q(o) be the third derivative of s(o). Factor q(i).\nAnswer: i*(i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -13*n + 5*y, 2392*n - 2391*n = y - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 - 13*f**3 - 4*f**2 - 9*f**2 + 23*f**2.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11526763 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 3257305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4108267 and -1?\nAnswer: 4108267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 3*v**3 - 2*v**3)*(-4*v + 2*v - 3*v)*(0*v - 4*v + 6*v) + (3*v**2 - v**2 + 0*v**2)*(2*v - 2*v - 3*v**3).\nAnswer: -26*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7*(-23)\/((-644)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 45*o**5 + 460*o**4 - 935*o**3 + 310*o**2 + 120*o = 0?\nAnswer: -12, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 2*d**2 + 12*d + 36. Let l(y) = 115*y - 1. Calculate the least common multiple of l(1) and t(-3).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 726581*f*m**2 - 10*m**2 + 35476*m wrt f?\nAnswer: 726581*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, 0.9, 4\/9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 242591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -14542646?\nAnswer: -14542645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22875877\/236738040 + -19\/204968. Calculate the common denominator of 60\/847 and n.\nAnswer: 25410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*z**2\/7 - 15928*z\/7 - 113554 = 0. What is z?\nAnswer: -49, 8111\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-8\/5)*c)\/((c\/c**(-5))\/c) assuming c is positive.\nAnswer: c**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/6*(4 + -10). What is the second derivative of 3*p - q*p**5 + 16*p - 15*p + 9*p wrt p?\nAnswer: -1600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/4, 7\/3, -1, -46.8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 5*f + f + (0 + 0 + 3*f)*(1 - 4 + 0) + (-11 + 4 + 2)*(-2*f + 5*f - 2*f))*(2*f + 3*f - 6*f).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4 - 6. Let o(q) be the second derivative of 0*q**k - q + 0 - 1\/3*q**3. Let i(c) = 2*c**2. What is i(o(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2 - 2*d + 10*d + 0*d**2 + 6*d - 46*d**5 wrt d?\nAnswer: -2760*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 11220282.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21321 + 331?\nAnswer: -20440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-7 - -1)) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/5*g**2 + 38\/5*g + 12\/5 + 2*g**3.\nAnswer: 2*(g + 1)*(g + 2)*(5*g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92274*m**3*r**2 - 116*m**3*r - 2*m**3 - 22*m**2*r**2 - m**2*r - 2*m*r**2 + 917*m - 4 wrt r?\nAnswer: -184548*m**3 - 44*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -49*r**3 - 9*r + 16. Let n(s) = 12*s**3 + 2*s - 4. Let o(j) = 9*n(j) + 2*p(j). Find the first derivative of o(g) wrt g.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 8*x + 14. Let b be i(-9). Sort -3, -4, b in decreasing order.\nAnswer: b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 2:41 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139522896.\nAnswer: 2, 3, 968909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46128698?\nAnswer: 2, 7, 11, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.484 to 1 dp.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -278 + 322. What is the remainder when 81 is divided by x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/3, 9\/7, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*x - 1, -3*i - x = -i - 16. Let d(c) = -8 + 5*c - 2*c - c. Let z be d(i). Solve 0*g = 3*o - 4*g + z, -o + 17 = 5*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 divided by 1521.\nAnswer: 226\/1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -484.25 - 54.59. Let d = 539 + v. Is -4 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19098 divided by -18.\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/12)\/(2\/(-8)). Suppose -5 = c - 6, c = -p*i + 261. What is the remainder when 570 is divided by i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**3*o + 9*h**2*o + 1149*h**2 + 70*h*o - 2*h + 291*o - 4 wrt h?\nAnswer: -60*h*o + 18*o + 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1468.302 - -77.2.\nAnswer: 1545.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 52 = 12*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 130, 129, 126, 121, 114, 105?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 470771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {m: 5, k: 2, s: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = 27*p + 114*p - 696135. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.384311 microseconds to hours.\nAnswer: 0.0000000145511975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 9*o + 37. Let p be (-6)\/o*10\/15 + -3. What is the greatest common divisor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f\/(f*f\/((f*f\/(f\/(f*f\/((f**(-2\/15)*f)\/f))*f))\/f))*f))))\/((f*f**(-3))\/f)*(f\/(f**4*f))\/f**(-3\/4) assuming f is positive.\nAnswer: f**(-23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 1228*q - 3720.\nAnswer: 4*(q - 3)*(q + 310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 + 91. Let b = 3 + -5. Let t be 3\/b - (-7)\/m. Solve t*z - 14 = -6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 - -1.71. Let v = s + -5.11. Let w = -103\/80 + 11\/16. What is the smallest value in v, w, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 6*m**2 + 3*m**2)*(273 - 85 - 56).\nAnswer: 1056*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 + 159*g - 315.\nAnswer: -3*(g - 210)*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 18 = -0*w. Let k be -1 - 3 - 18\/w. Let l(d) = -8164*d**2 - 5*d + 1. Let b be l(k). What is b rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67558*x - 67577*x + 135116*x.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000169886796 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 3:04 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - l - 3*l - l - 3*l + 5*l + (-3 - 2*l + 3)*(-2 + 1 + 0) - 4 + 3*l + 4)*(0*l**3 + 0*l**3 + 2*l**3) + (l**4 - l**4 + 2*l**4)*(-5 + 3 + 0).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/5)*a*a\/(a\/(a*a**2)))\/(a\/(a*a**(1\/4)\/a)*a**(2\/5)) assuming a is positive.\nAnswer: a**(89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 11, -4, 0, 958, -2 in ascending order.\nAnswer: -4, -2, 0, 11, 30, 958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:25 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*o + 24 + 2, 5*y = o - 119. Let b = y - -38. Calculate the highest common factor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4946703*j - 4382586 wrt j?\nAnswer: 4946703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -4 (c) 1\/11 (d) 10.25001 (e) 2\/7 (f) 4 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 54*c + 15. Let j(l) = 2*l**2 - 122*l - 31. Let f(d) = 3*j(d) + 7*u(d). Determine f(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = i - 3, 27 = 5*m + 3*i. Suppose -5*l + 11 = -4*b - 2, 0 = -4*b - m*l + 27. Let r(o) = -2 - o**2 + 2*o + 3*o - 6 + b*o. Calculate r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 22\/3*i + 2\/3*i**3 + 4*i**2.\nAnswer: 2*(i + 1)*(i + 2)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*w + 21429 + 28155, 0 = 5*m + w - 123960. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**3 + 7*m**2 + 7*m + 4. Let n(k) = 3 + 5*k**3 + 6*k**2 + k + 0*k + 5*k. Let u(q) = 6*g(q) - 7*n(q). What is the derivative of u(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, o: 5, d: 1, y: 1, b: 1, x: 6}. What is prob of sequence yobo?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/((-962)\/(-195))*(-112)\/(-252)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3172\/1159*(-19)\/(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -43. Let o(x) = -x - 1. What is o(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16447087.54 rounded to the nearest one hundred thousand?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -0.7, 4, 0.1, -0.2, 150\/23?\nAnswer: 150\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51420 rounded to the nearest one thousand?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -692 (base 11) in base 13?\nAnswer: -4b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-8) - (-6)\/(-24). Let d = 19.84 + 0.16. Let j = -17 + d. What is the closest to j in -0.1, h, -1\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18767 and 29743?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (7 - -2) + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(308)\/((sqrt(99) + (-3*sqrt(99) - sqrt(99)) + sqrt(99))\/sqrt(9)))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441584803 and 3916.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 8.7.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0)*(8 + -3)\/15. Let k be (u + 3)\/((-6)\/(-4)) + 0. Factor -12\/7 - 4\/7*j**k - 16\/7*j.\nAnswer: -4*(j + 1)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(sqrt(112)*1))\/(sqrt(140)\/sqrt(7)*6).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 9*x**2 + 3. Let m be o(-9). Suppose 4 + 8 = m*v. Suppose -15 = 9*f - 51. Solve 0 = -f*g + 3*g - v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 429862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(-28) - 153\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from smsmmsssms?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.16022 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73239.46553 - -226.\nAnswer: -73013.46553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3352 - 3351.7933. Let x = g - 0.189. Let d = x - 2.5877. Round d to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -332*b + 3023. Calculate m(9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-98))\/((-50)\/(-35))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 2*u + 15 - 15.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by -38587\nAnswer: 172\/38587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjbvjvjadvvdj. Give prob of picking 1 v and 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 26 = 3*y + 16, 11*x - 22 = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 78400 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**2 + 8*j - 5. Let g(v) = 2 - 4*v - 5*v**2 + 16*v**2 - 7*v**2 + 0. Let h(d) = 5*g(d) + 2*r(d). Suppose h(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-3)*(-30)\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (71\/3976*-105)\/((-3)\/120)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x + 84. Let b(p) = -12*p + 83. Give -4*a(w) + 3*b(w).\nAnswer: 4*w - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 2*l**2 - 8*l - 2*l**2 - 3. Let f be i(-7). Suppose f*y + 26 = n, n - y = -4*y + 12. Solve 3*p + 4*r = -2*p - n, 5*r = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 11*u + 3. Give c(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:22 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 9 = -20*b. Solve x - 13 = -3*r, -b*x + 18 = r + r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 251 + 22*c**2 - 10*c**2 + 172.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0. Let v = -0.1 - w. Let z = 17623 - 17624. Which is the second biggest value? (a) 5 (b) v (c) 3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/17)\/((j*j**(-4\/13))\/j))\/(j\/(j*j\/j**(1\/12))*j**(-3\/20)) assuming j is positive.\nAnswer: j**(4751\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128.68 - -132. Let a = 0.68 + b. Let p = -3.99897 + a. Round p to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m + 3. Let a(j) = 2 - 4*j + 3*j - 3*j. Suppose 3*w = 2*w + 3. Suppose -w - 17 = -4*g. Give g*a(x) - 3*n(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c + 29 + 0*c**2 - 13 + 22*c**3 - 17 - 9*c**2. List the prime factors of h(3).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(11) - (1 + sqrt(11))*-6) - (sqrt(11) + (sqrt(88)\/sqrt(4))\/sqrt(2) + 2 + sqrt(44)))**2.\nAnswer: 42*sqrt(11) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7 = -o, 5*o + 16*k = 19*k - 1. Let w(s) = s**2 - 2*s. Let j be w(3). Suppose -2*l = -j - o. What is the nearest to l in 1\/3, -19, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 181 and 1238?\nAnswer: 224078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 227514 divided by 2?\nAnswer: 113757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from bssbkbnbnbbkn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -33*m**2 - 15*m - 1. Let p(s) = 542*s + 4. What is p(o(d))?\nAnswer: -17886*d**2 - 8130*d - 538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49200 + 2*j**3 - 14304 + 480369*j**2 + 32760*j - 480877*j**2.\nAnswer: 2*(j - 126)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/15)\/y)\/(y*y\/y**(-3\/4))*(y*y**(1\/3))**(-2) assuming y is positive.\nAnswer: y**(-377\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/221 and -74\/2643.\nAnswer: 584103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -119*q + 7. Let t be f(17). Calculate the lowest common multiple of 9 and 2\/5 + t\/(-60).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1199 (base 12) to base 16.\nAnswer: -7c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -868 (b) -2\/7 (c) 3617\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -2*g**5\/15 + g**4\/2 + 2*g**3\/9 - g**2 - 587. Factor m(l).\nAnswer: -2*l*(l - 3)*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a5 (base 16) to base 4.\nAnswer: -12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(6*15\/504). Suppose h = 3*h + 12. Is u equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -41*z - 1\/2*z**2 - 1681\/2 = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28361514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -74. Suppose 2*j + 9*b - 8 = 13*b, -2*b = 3*j + 4. What is the second smallest value in j, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - 2) - (-14 - 4) - (3745 + -3735).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k = -44*k - 2*x + 41, 20*k + 5*x - 17 = x - 256 - 69 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 23*f = 25*f + 391 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13504)\/(-197496))\/(4\/13).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**3 - p**2 - 9*p + 8. Determine s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -102. Suppose 64*g = 4*m + 67*g - 75, -4*m + 5*g + 35 = 0. Calculate the remainder when o is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1068.7*72.\nAnswer: 76946.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -606 + 605.999282. Round p to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 983 + 1950 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 12*k - 176 = 10 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0 - 3\/2*l**2 + 1\/2*l**3 + 3*l. What is the first derivative of f(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32121 (base 4) in base 8?\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {w: 4, d: 2, q: 8, k: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001 - 10111?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2229 - -2227. Which is the closest to -2\/23? (a) 4 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 8 = -83, 3*b + 463*q = 464*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/12 + 7*v**3\/6 - 3*v**2 + 7*v. Let i(h) = 19*h**2 - h - 1. Let d be i(1). Suppose d + 19 = 6*q. Calculate b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, l: 2, x: 5, h: 3}. What is prob of sequence hil?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 8*t - 2*t**2 - t**2 + 0*t**2 - 9. Let a be n(6). Suppose -b + 5*x = -2 + a, 5*x + 3 = -3*b. Do -2 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 15 = -3*a, -5*u = -10*a + 7*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2919 - -1472. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 139583201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.21 - -1.71. Let g = q - 1.1. Which is the nearest to -1? (a) -6 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2\/59, 8.9, -4?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 519?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 702231753 to the nearest 100000.\nAnswer: 702200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/26018547 and 91\/24.\nAnswer: 208148376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -97250 to the nearest 1000.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5628 and 20435.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5910 greater than or equal to 8155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -5) + (-415)\/(-35) - (-64)\/56?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:21 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 853105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44329?\nAnswer: 97, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 868 + -874. Which is the closest to 0.2? (a) 1\/3 (b) o (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29ceb - -5?\nAnswer: 29d01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 71*b**3 + 4*b**2 + 37*b - 42. Let h be o(1). What is the highest common factor of h and 2954?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842*o - 822*o - 874280 = 0. What is the ten thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101710 * 1395\nAnswer: 141885450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4104)\/(-17442))\/((-22)\/(-85))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/30 - d**4\/12 - 2*d**3\/3 - 3*d**2. Let r(k) = -k**2 - k. Let f(z) = -5*i(z) - 5*r(z). Let f(l) = 0. Calculate l.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 9:38 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 + -171.6. Which is the third biggest value? (a) 3\/4 (b) f (c) -2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/8)\/((-390)\/(-1872)). Suppose q*i = -17*i + 1725. What is the greatest common divisor of 50 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2443799 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6042, -5781, -5340, -4629, -3558, -2037, 24, 2715?\nAnswer: 6126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0 - 0)\/((-24)\/(-24)). List the prime factors of 811\/5 + (-8)\/(-10) + g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, c: 14}. What is prob of picking 2 c?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let b = 0.133 - 0.033. What is the second biggest value in 1\/2, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/(-3*4\/(-12)). Suppose 6*o + i - s = 4*o, -10 = 2*i. Suppose 0 = -f - u + 12, 0 = u + 2*u + o. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 5*g**2 + 8*g + 6. Let t be i(-5). Let f be 2\/3 - t\/3. Solve 3*z + z = -f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14*j - 97. Let p be x(-7). Let l(w) = -2 - 4*w - p + 4 - 1. Let u(f) = -19*f. What is u(l(s))?\nAnswer: 76*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2058\/126)\/((2\/33)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*(-3 - -55). Let u = 15 + w. Let p be 6\/33 - 9\/u. Solve -3*j = -p - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/84 + -241\/210. What is the common denominator of -107\/220 and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -199 and -0.016484.\nAnswer: 3.280316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 - 1364*n + 9354. Give g(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -118, -157, -162, -121, -22?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 5*l**3\/6 - 3*l**2\/2 + 25*l. Let p(o) = -o**2. What is v(p(y))?\nAnswer: -5*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 481*k. Suppose 5*n - f - 50 = -15, 2*n - f = 17. Let b(c) = 13*c. Give n*m(a) - 221*b(a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert 556400.3nm to centimeters.\nAnswer: 0.05564003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 - 146. What is the smallest common multiple of z and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2) + (4 - 4). Suppose -2*k = i, -2*w + 4 = -3*k + 7*k. Solve 4*d = 5*a + 21, w*d - 26 = 3*d + 5*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15464.16 litres in millilitres?\nAnswer: 15464160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72200?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 6?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 2*-4)*3. Suppose -n + z = 2*n. What is the lowest common multiple of n and 2 + (-5)\/(10\/(-8))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204 - 202. Solve f - 3 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17685 and 6034515.\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005872818329 to six dps.\nAnswer: -0.000587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*(d**(-3)\/d)\/d)\/((d\/(d**6\/d))\/d**(-3)) assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (408 - 4)*3\/12. Suppose -2*r + h = c, -4*r = 3*c - 2*c - 97. Is c a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122 (base 3) to base 14.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - (-9 + (8 - -3 - -5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -291441.2 and -75?\nAnswer: 291366.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -p + 5*p, -3*p = 5*j - 10. Let b be (j\/(-7))\/(20\/(-28)). What is the smallest value in b, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Let t be (6\/24*-6)\/((-3)\/j). Suppose 0*s - 7 = -s - 5*r, 5*r = 10. Which is the biggest value? (a) t (b) 0 (c) -1\/3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 15*f**2 - 23*f - 140. What are the prime factors of x(-6)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + v - 17 = 0, -4*p - 5*v + 16 = 47 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) 28 (b) 0.3 (c) -0.5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(-1))\/f)**(-20)*(f\/(((f*f*f\/f**(-2\/3))\/f)\/f)*f)**8)**(-23) assuming f is positive.\nAnswer: f**(2576\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 26 + 24*x**2 - 40 + 25 - 4*x - 8*x**2 - 7*x. Let u(g) = -3*g**2 + 2*g - 2. Let y be 3*((-4)\/(-6) - 0). Determine y*h(t) + 11*u(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/180 and -57\/346?\nAnswer: 31140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7226\/715 + -1\/65. Which is smaller: 10 or d?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 521*o**2 + 17*o + 53. What is the remainder when z(-3) is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 5*a**2 - 2*a - 6. Let g(x) = x**2 - 2. Let s be g(-2). Suppose -15 = s*i + i. What is the lowest common multiple of 10 and l(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2754)\/(-187))\/(-18))\/(3\/4*-2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 2. Suppose -3*r = -5*r + 12. Let f be b(r). Let c be ((189\/56)\/9)\/(2\/16). Solve 3*p + 29 = -f*x + 4*x, -5*p = -c*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((9 + (-33)\/6)*2). Suppose r = -0 + 1. Sort r, p, 1\/2 in ascending order.\nAnswer: p, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*o + 1. Let n be (2\/(-90))\/(3 - 34\/10). Is n != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 40157*s**2\/3 - 403166240*s\/3 - 403126084\/3.\nAnswer: -(s + 1)*(s + 20078)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525327 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6.4. Let c = 1.2 + -1. Let z = -102 - -100. What is the third smallest value in c, x, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 66 - 26. Solve -5*j + 35 = -5*x, 4*x - j = -t - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 26*w - 8. Let z = -21 - -34. Let u be t(z). Suppose u = 5*v + 3*n, 0 = -6*v + 7*v + 2*n - 97. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*(-4 + -2). Let g(r) = 3*r - 2. Let x be g(f). What is the third derivative of 4*j**2 - j**x + 3*j**4 + 2*j**4 wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 538859.\nAnswer: 16165770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 3*n + 1. Suppose 4*u = -86 + 546. Calculate the remainder when u is divided by b(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 1 - 11 = -4*g, -2*h = g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2841 is divided by 149.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8324*b**2 + 195*b - 391. Is k(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -115, -3 in decreasing order.\nAnswer: 7, -3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-4\/7)*c)\/c*c*c*c**(-5)*(c**(2\/3))**(-49))**(-2\/37))**36 assuming c is positive.\nAnswer: c**(17184\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 3. Let z be y(-8). Let b(o) = 2*o**2 - 7*o - 5. Let f be b(-4). Suppose 5*u - f = -z. Solve -2*p + g - 6*g + u = 0, -2*g = 5*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5814 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -5, 14, 0.4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (8 + -13)) + 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + sqrt(1053)*-5*3 - sqrt(1053))**2.\nAnswer: 236925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(3*(-10)\/45*9639\/9180)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0, -7 in decreasing order.\nAnswer: 3, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8 + 4 + 0 + 0 - q. Let t be d(6). Let h be -3 + (-90)\/(-6)*3\/5. Do h and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 704 - 700. Suppose -4*w - g + 14 = -3*w, -3*w = -2*g - 27. Find the third derivative of 8*d**4 + 3*d**4 - w*d**k - 45*d**5 + 26*d**2 wrt d.\nAnswer: -2700*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 - (-12)\/9. Let k = 5 - g. Let m be (-1)\/k*(-36)\/16. Is 1 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.69. Let y = k + 0.39. What is the nearest to 3 in y, 4\/5, -1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from bqyya?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2872688)\/(-2002))\/((-2)\/(-11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33338021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjjzzktzkjzkzfzzfj. What is prob of picking 1 k and 1 z?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (0 + sqrt(700))**2 + (-2*sqrt(63))\/sqrt(9) - (sqrt(175) + 1 + (sqrt(84)\/(sqrt(12)*-2))**2).\nAnswer: -6*sqrt(7) + 2789\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*w**2 + 5*w**3 + 112631*w - 112638*w - 5*w**2 to the form g + v*w**3 + l*w**2 + a*w and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -114*a. Let h(x) be the first derivative of -2*x**3\/3 + 21. Give h(n(q)).\nAnswer: -25992*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 9*w**2 + 19*w - 15. Determine j(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 + 12*u**2 + 455*u\/2 + 1225\/3.\nAnswer: (u + 2)*(u + 35)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 935 + -2d7?\nAnswer: 63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -72*d. Let f(w) = 3*w**2 + 4*w + 2. Let n(t) = -10*t**2 - 14*t - 7. Let k(y) = -14*f(y) - 4*n(y). What is o(k(m))?\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/575 (b) -5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 395 and 474.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 + 9. Let p(d) = -d**3 - 3*d**2 - 6*d - 11. Let r be p(-3). Calculate y(r).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + 5)*-1.\nAnswer: -sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1110*w - 98703 + 29883 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p + 45. What is the remainder when 39 is divided by n(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*q + 261*q + 1 = 53 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 - -0.08. Put -3, p, 0.2 in decreasing order.\nAnswer: 0.2, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7585*p**2 - 15171*p**2 + 7567*p**2 + 14)*(-2*p**2 + 2*p**2 + p**2).\nAnswer: -19*p**4 + 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (0 + 50 - -6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -504958368.1.\nAnswer: -504958368.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - (0 - (4 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 27 + 9*c + 0 - 9.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27336618478 + -27336546218.839895. Let m = a + -72281.16. Let n = m + 22. Round n to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Suppose -2*v + 3 = -3*x, t*v - 1 = x + 4*x. Which is the closest to 0? (a) 0.5 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2152.979mg to tonnes.\nAnswer: 0.000002152979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdr when three letters picked without replacement from rdddrdddnddrrdrddd.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v - 5*l - 122, 3*l = -v + 39. Let w = 14 + 36. Suppose -4*j = -2*n - w, 2*n + 37 = 3*j - 0*n. What is the remainder when v is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 24. Let z be b(-16). Let q(x) = x**3 - 4*x**2 + 16. Is 8 a factor of q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 10*v**2 + 12*v + 2. Let j = -303 - -314. Calculate g(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a - 35. Let l(k) = 2*k + 15. Let z be l(-10). Let h be q(z). Solve -12 = -h*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.31 to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 29 = -24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -359e (base 15) in base 6?\nAnswer: -124435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 8:47 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*y - 5322, -5*h + 2*h + 4008 = -4*y. Suppose 7*v = 11*v - h. Let t = v + -163. What is the highest common divisor of 34 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 - (74 + -51)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 1433*y - 631610. Give b(-615).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-744)\/32)\/(-3) + -7. Which is the nearest to 0? (a) j (b) -6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-16) - 4*45\/(-480) - -5. Solve 5*o + 8 = -2*a + 11, -2*a - 7 = -q*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.8258 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7546 + 9463. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 225.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 + 2*d**3.\nAnswer: d**3*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + a**2 - a + 30. Let w be b(0). Suppose 5*i = 2*f + w, f + 15 = 4*i - 12. Calculate the least common multiple of (-20)\/4 - -3 - -10 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21834 - -283683\/13. Let q = x + 2950\/221. Let v = q - -271\/153. Find the common denominator of -5\/4 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -446 (b) -2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(210) - (sqrt(210) + sqrt(210)*3))\/sqrt(5) + sqrt(42))\/sqrt(6))**2*1.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - 5*a + (-1 - 2*a + 1)*(-21 + 13 + 22) - 2*a - 4*a + 4*a + (-3 - 1 + 3)*(-a - 1 + 1) - a + a + 2*a)*(-151 + 24 + 77).\nAnswer: 1450*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + 1 - 2 - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n + 63. What is d(-32)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s. Let c(k) = -k**2 - k - 1. Let y(n) = 12*n**2 + 9*n + 9. Let z(o) = 9*c(o) + y(o). What is z(p(l))?\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, 88, 338, 824, 1624, 2816, 4478?\n\"Answer: 13*s**3 + s**2 - 2*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 4:59 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -40*j**2 + j - 6. Let s be q(-3). Let d = s + 612. What is d rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m*m\/((m*m**(2\/7))\/m)*m*(m*m\/m**(2\/5)*m)**(2\/13) assuming m is positive.\nAnswer: m**(39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakkaa. What is prob of picking 1 a and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 9:59 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 + 6*l**3 - 6*l**2 + 2*l**2 - 3*l**3 + 4*l + 1. Is 3 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2236 and 82277?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**2 + 29*t**3 + 3*t - 10*t - 14*t**2 + 7*t + 6*t wrt t?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/20 + 5*l**4\/12 + l**3\/3 + 3*l**2\/2 + 2*l. Calculate the remainder when 32 is divided by w(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 539 + 1398. Solve -x + 153 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454*v + 1908 = -450*v. Is 53 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544425.694 rounded to the nearest one thousand?\nAnswer: 544000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f**3 - 6*f**3 - 10*f**3 + (3*f**3 - 3*f**3 + 3*f**3)*(47 - 12 + 23).\nAnswer: 169*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4923.862*-0.2.\nAnswer: 984.7724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(381*v - 596 - 600 + 1795 - 599) as k*v + c and give k.\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2079998*t + 5. Let h be l(-5). Suppose 0 = r - 5*j + 2599995, 7*j - h = 4*r + 2*j. What is r rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358657.\nAnswer: 13, 47, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1706 - -27307\/16. Calculate the common denominator of n and -71\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1638269347, 1638269346, 1638269345, 1638269344, 1638269343?\nAnswer: 1638269342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9058978.\nAnswer: 2, 59, 76771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 125*d**2 - 75 + 117*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 988353160 to the nearest integer?\nAnswer: 31438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**17\/m))**25 assuming m is positive.\nAnswer: m**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -144, -233?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -2210?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58564*z - 109332 wrt z?\nAnswer: 58564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -43, -69, -93?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**2 - 6*t + 4. Let f = 66 - 48. Suppose 3*g + 4*c + 8 = 0, 0*g + 2*c = 4*g + f. Let z be x(g). Round z to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19462.8025 to 1 decimal place.\nAnswer: -19462.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 2132 = -351. Let m = -196 - u. Let w = 3 - 1. Which is the closest to 0? (a) -1\/2 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141524 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172 and 44?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32660 divided by 2.\nAnswer: 16330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1, 4, -3, 14, -604 in descending order.\nAnswer: 14, 4, 3, -1, -3, -5, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*((-2220)\/80 - 132\/(-48)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 197, 439, 779, 1217, 1753?\nAnswer: 2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20705 and 17170.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 4900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -140*v - 5*v**2 + 3 + 63*v + 81*v + (-3*v**2 + 5*v - 5*v)*(2 + 4 - 4).\nAnswer: -11*v**2 + 4*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21746 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/9 - 17\/(-3). Suppose 307 = c*n - 4*i, n + i = -n + 115. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2 = 2*f, -15*f = -10*f - 4*q - 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 14) in base 12?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-2)*(-6 + (-16)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*q = 0, 2*i - 2*q + 3 = q for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000030451414 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2559891 and 1095?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -10*i + 7*i. Solve i = 2*a - 0*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - -3.02. Let g = 15 - 15.1. What is the nearest to g in 0.3, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 606580194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 9 = 2*q, 3*u = -q - 4*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -1033, -1548, -2061, -2572, -3081?\nAnswer: -3588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 18 = 5*p + 5*h, 5*p - 25 = 5*h. Let s(z) = -z**2 - 4*z - 2. Let x(y) = -y**2 - 4*y - 3. Let i(d) = p*s(d) - 3*x(d). Give i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350) - (sqrt(350) - -1*sqrt(350)) - sqrt(350))\/(sqrt(162) + 1*sqrt(162)) + 2.\nAnswer: -5*sqrt(7)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.152 - -428.7628871.\nAnswer: 428.9148871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**4\/24 + 7*r**3\/6 + r**2. What is the units digit of c(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 42 = 3. What is the third derivative of -p*o**4 - 3*o**6 - 2*o**2 - 2*o**6 + 45*o**4 wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from rraaaaaraaaarraaaaaa?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (2*sqrt(187) - sqrt(187))*1)\/((sqrt(55)*-1)\/sqrt(5)) + 4*(sqrt(136)\/sqrt(2) - sqrt(153)\/(1*sqrt(9))))**2 + 2.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2 - 48488*n + 48484*n + 4. Let f(x) = -x**2. Give b(f(u)).\nAnswer: 4*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 493*l - 36. Let q(s) = -2*s - 7. Determine -5*q(a) + w(a).\nAnswer: 503*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 (base 6) in base 13?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1da8 + -2?\nAnswer: -1daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:58 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49.1 - 49. Let h = 0 + 0. Suppose h = 2*d + 2*g + 8, -6*g + 4*g = 4*d + 18. Which is the nearest to o? (a) d (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2.97, -6, -2, -7, -31 in decreasing order.\nAnswer: 4, 2.97, -2, -6, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - 4. Let n(z) = 7*z**2 - 14*z + 18. Let b be n(4). Let r = x + b. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0304738 micrograms in tonnes?\nAnswer: 0.0000000000000304738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20101603 (base 7) in base 11?\nAnswer: -a37652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*s + 4, -2*x + 7 + 0 = -3*s. Solve x*n = 4*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 538 = -602 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20688 is divided by 180.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((-602)\/74 - -8). Which is bigger: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2446214 and 1432.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 + 147.19. Let u = 0.19 - l. Let g be 1*(1*-3 - 2). What is the third smallest value in 0.1, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 1. Let i be n(2). Let g be -19*-2*(-3)\/(-6). Suppose -i = -3*m + 2*m + y, 0 = -2*m + 3*y + g. Solve 3*o - m = 5*a + 7, 3*a - 5*o - 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*m + 22 = 0, -3*h + 21 = 3*m + 2*m. Let c be 0\/8 - (2 - h). Suppose -2*z + 2 = -c*z. Which is greater: -2\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779611?\nAnswer: 7, 111373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11584485 divided by 1345?\nAnswer: 8613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 591 - 550.95. What is i rounded to zero dps?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19\/(-15) + (-2)\/6. Suppose 5*m = -0*m - 10. Let f be (30\/(-45) - (-15)\/36)*-4. Which is the nearest to 0.1? (a) f (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 7*r. Suppose -d - 4*g + 71 = -0*d, -2*d + 3*g + 109 = r. Suppose 5*n - 151 = d. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7508 is divided by 339?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -895 + 2?\nAnswer: -893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 94467 less than -0.3?\nAnswer: -94467.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 11*c + 33)*(3*c**3 + 4*c**3 - 6*c**3 + (4*c - 3*c + c)*(c**2 + c**2 + 0*c**2) - 31*c**3 + 2*c**3 - 22*c**3).\nAnswer: -506*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7888607*u + 872058?\nAnswer: 7888607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = y, 0*y = -5*q - 2*y + 14. Suppose q*c = 3*n + 81 + 60, 0 = -5*c + n + 168. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -2424, -5415, -9612, -15021, -21648, -29499, -38580?\nAnswer: -48897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 + 189632*l**3 + 5*l**2 + 7*l**2.\nAnswer: 189632*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*h + 2)*(1 + 4 - 4).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 4, -14, 5, 3, -315 in increasing order.\nAnswer: -315, -14, -8, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 - 46*q + 0 + 7 + 58*q.\nAnswer: 12*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30103\/4 + -7631. Let x = h - -106. Is 0 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v. Let i(q) = -4861*q**2 - 5241*q. Determine i(z(x)).\nAnswer: -43749*x**2 + 15723*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21734, -21718, -21700, -21680, -21658?\nAnswer: -21634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)\/t**(3\/5)*t**(-1\/7)\/t**(2\/15))\/((t*t*t**7)\/t**(-4))**(-10\/3) assuming t is positive.\nAnswer: t**(19248\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 37 + 4 = 0. What is the third derivative of o + 34*o**4 - 51*o**f + 61*o**2 - 58*o**3 + 109*o**3 wrt o?\nAnswer: 816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 380 divided by -709\nAnswer: -380\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + (-20 - -1) + (16 - (-27 - -12 - -23)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 22.2. Let v = t - -9. Which is the closest to 0.1? (a) v (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49821\/10 + 4989. Let l = -1498 + 1055. Find the common denominator of y and l\/(-682) - 2\/11.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3\/3 - 1938184*v**2\/3 - 15505664*v\/3 - 10337152 = 0.\nAnswer: -4, 484554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(140))\/sqrt(5) - sqrt(28))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 + 2 + 43*t**2 - 69*t**2 + 110*t**5 wrt t?\nAnswer: 6600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3\/7*o**5 + 0 + 33\/7*o**2 + 3\/7*o**4 - 12\/7*o - 27\/7*o**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2797 + 2830 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3838028105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 8 = 0, 10*o = -5*j + 12*o + 32 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1581 and -0.36.\nAnswer: -1581.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.1. Let z(w) be the first derivative of w**3 + w**2 + 2*w + 174. Let n be z(0). What is the closest to v in 0.4, n, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/5? (a) 1 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -84 + 20. Solve -2*l = -4*t + 12, 4*t + l = -4*l - y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k - 0*k. Let u(q) = q**2 - 8*q + 5. Let m be u(7). Put -1, m, k in ascending order.\nAnswer: k, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 4*h + 5*h)*(-2 + 0 + 1)*(-3 + 4 - 2)*(0*h + 2*h - h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/69 in 0.09337, 5, -1?\nAnswer: 0.09337","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40304539.\nAnswer: 11, 53, 257, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 122 - 148 + 1070 - 289*t**3 wrt t?\nAnswer: -867*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 2. Suppose -v*a + 6 = 5*z, -z - 2*a - 4 = -1. Solve -2*q - z*n = -4*n - 12, 5*n + 20 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 5*m**2 - 10*m + 37. Determine w(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 977, -65 in increasing order.\nAnswer: -65, 2, 977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66153 or 66140?\nAnswer: 66153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -566665*s**2 + 5*s. Let r be d(-3). What is r rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -7 - (-12 - -19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2, -7*f + 3*f + 3*w = -14450. Is f a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**19\/(n\/n**(9\/5)*n))**(-1\/13))**(-29) assuming n is positive.\nAnswer: n**(2726\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -101\/341562?\nAnswer: -101\/341562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.973 - -0.027. Let u = 24 - w. Suppose 0*t - 6 = 2*t. Which is the closest to t? (a) 0.4 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -598 times -89.5\nAnswer: 53521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**14\/f**23*(f\/f**(2\/59))\/(f\/f**2) assuming f is positive.\nAnswer: f**(-415\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11685 - 74653 = -4*q, 4*q - 86334 = 2*u. What are the prime factors of q?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10135.36 rounded to the nearest 100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**6\/2 + 6*c**5\/5 - 9*c**4\/4 - 8*c**3 - 6*c**2 - 134. Suppose w(j) = 0. Calculate j.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174*3\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d - 2*d + 2*d**4 - 2*d - d + 2*d**3 + d**2 in the form r*d**4 + y + m*d**3 + z*d**2 + i*d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 4*x**2 + 4*x - 6. Let f be r(-5). Let a(b) = -4*b + 4. Let m be a(f). Find k, given that -14*k**2 + m + 3*k**3 - 2*k**3 + 8*k + 3*k**3 = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j = 0. Let c(x) = 2*x**2 - 2*x**2 - x + 5 - x**2. Let i be c(j). Solve i*s - 22 = -7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 + 4*u**2 - 4*u. Suppose 3*x + 3 = i + 2*i, -5*i + 35 = 5*x. Let q be g(x). Let n = q + 45. Solve -f + n = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4471.927 milligrams?\nAnswer: 4471927000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177437\/36 + 44366\/9. Let z be (6\/(-136))\/(3\/2). Sort 4, 2\/11, j, z in descending order.\nAnswer: 4, j, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -34, -36, -38, -40, -42?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.21 - 0.23. Let o = y + 0.02. Let q = 2.6645 - -0.3355. Which is the nearest to o? (a) -0.2 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -5 (c) -0.06515 (d) -0.3 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120387?\nAnswer: 3, 40129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 minus -1.6?\nAnswer: 184.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 396 + -223. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + b**4 + 2*b**2)*(4 - 4*b - 4) + b**5 + 810*b**2 - 810*b**2.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 1078*v - 14860. Calculate p(14).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.6 (b) -1320 (c) -0.5 (d) 0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4211 - 32?\nAnswer: 4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3 - 61495902*g**2 - 122991813*g - 61495908 = 0.\nAnswer: -1, 20498636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbnnnnnn. Give prob of sequence nnn.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3514417169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 6*q**2 - 2*q - 9. Let i be u(-6). Suppose -4*n = -i*v - 9, -3*n = 2*v + v + 9. Which is greater: n or -1\/12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 65.3, 9, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 26 - 4 = 0. Let c(g) be the second derivative of 0 + 1\/10*g**3 - r*g - 3\/100*g**5 + 0*g**4 + 0*g**2. Factor c(u).\nAnswer: -3*u*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**3\/6 - 6*f. Let q be m(3). Put q, -2, -8 in decreasing order.\nAnswer: -2, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*r = -5*z - 41*r - 41*r + 17, -2*r = 2*z + 7*r + 153 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9329392?\nAnswer: 2, 583087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*g**2 - 197*g**2 + 47*g**2.\nAnswer: -358*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -944, -3601?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 22 = -5*k. Suppose -k*q - 2*q = -115. Suppose -3*s - 5 = -q. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p - 5. Suppose -5*h + 65 = -18*h. Let l be m(h). Let t be (-146)\/(-10) + 46\/l. Calculate the greatest common divisor of t and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6580706*l**2 - 7992532 wrt l.\nAnswer: 13161412*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10776.000000485 + -10776. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3393, 6789, 10187, 13587, 16989, 20393?\n\"Answer: y**2 + 3393*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -5*n - 22 + 49, -4*n - c + 15 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -666033 times -0.3?\nAnswer: 199809.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 540 * 3.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(54)\/sqrt(2).\nAnswer: -3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-7\/4)*t*t)\/(t\/(t\/t**(-1\/4)))*(t\/(t*t\/(t**(-5)*t)))\/(t**(-7\/4)\/t))**(1\/6) assuming t is positive.\nAnswer: t**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 117*i + 1 - 24*i + 30*i.\nAnswer: 5*i**2 - 111*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 17, 3 in descending order.\nAnswer: 17, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 14) + 0\/3. Let s(m) = 8*m + 3*m + 2*m**2 + 0*m**2 + 7. Is s(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f + 5 + f**2 - 3 + 4 - f. Suppose 6*x - 133 + 97 = 0. Determine p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 6*o. Let j be q(5). Suppose 4*d + 6 = 3*a, -j*a + 3*d + 5 = -16. Suppose 0 = 4*m - 2*y - a - 2, 0 = 3*y. Solve -m*p = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*g - 5737 = -95*g - 627. Solve 10*r = -4*o - 5 + 3, -4*o = 2*r + g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.44337 > 13\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -34. Let n be 4*i\/(-60)*-12. What is the remainder when 28 + (0 - -1)*n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 5. Let c be r(0). Suppose 0 = c*j - j - 2200. What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 750 and 40782?\nAnswer: 5097750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = -4*k, -3*i + 4*k - 4 = i. Solve -g + 11 = 3*d, -i*g + 2*d - 4*d = -14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 3*v**2 + 4*v + 2. What is d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -50*-1*(-1 + 0). Let y be 1940\/h - (2 + -6). Let w = y + 35. Which is the second biggest value? (a) -5 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49835*j*t**2 + 5*t**2 - 15*t + 1 wrt j.\nAnswer: 49835*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*b + 15 + 4, 5*b = 4*u + 10. Let r be ((-6)\/15 + (-7)\/u)*5. Solve -4*f = -4*o + 20, -f = r*o + 3*f + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*l = 106 - 29, 3*g + 5*l - 54 = 0. Suppose 0*i + 3 = -i + 2*d, 4*i - g = 3*d. What is the remainder when 4\/(-6) - 62\/(-3) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1748*c - 170*c - 1628*c. Let w(v) = -2*v**2. Calculate j(w(x)).\nAnswer: 7092*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - 13.2. Let c = r + 14.00018. Round c to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(136) + (sqrt(136) - (sqrt(136) + 4*2*sqrt(136)))))\/(-1*sqrt(968) + 2*sqrt(800)).\nAnswer: 14*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*l = -3*l - 1520, 0 = -4*j - 4*l + 3040. List the prime factors of j.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24087, 46961, 69835, 92709, 115583?\n\"Answer: 22874*h + 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 + -202.04. Let f = p - -5.2. Round f to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, 95, 363, 763?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/4 + 1*-4. Find the first derivative of -7*x**2 - 8 - 10*x**k - x**2 + 2*x**2 wrt x.\nAnswer: -32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 21*l - 25. Let k = 27784 - 27776. Determine h(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25382 divided by -1\nAnswer: -25382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 11*v - 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -525\nAnswer: 1\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7, p: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1956057 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (77310\/(-6013))\/((-25)\/(-105))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-33) - (-2)\/(-11). Suppose 2*k = 6*k - 48. Calculate the smallest common multiple of k and 17 - 3 - -1*w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -34. Suppose 3 = z - r. Calculate the highest common factor of z and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + -4 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.6 minus 13?\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*a - 2*u + 31, 4*a - 180 = 3*u. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 11*x + 2704 = 3*k, -2*k - x + 1796 = 0. Calculate the remainder when k is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111011101110000111 (base 2) to base 10\nAnswer: 506759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**3\/6 + d**2 - 10*d. Calculate n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 20, -2*q + 2*s + 0*s + 236 = 0. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + -5 + 4 - (45 + (13 - 10)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2621*b**3 + 798*b**3 + 795*b**3 + 1027*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 296, 290, 272, 236, 176?\n\"Answer: -f**3 + f + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**40 assuming c is positive.\nAnswer: c**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/9 - 550*u**2\/9 - 1894*u\/3 - 570 = 0. Calculate u.\nAnswer: -9, -1, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*n - 2*n - 10, -14 = -5*t - 3*n. Suppose t*q - q = 4*v - 507, -2*q - 2 = 0. Calculate the lowest common multiple of 4 and v.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)\/sqrt(12))\/((sqrt(9) + -2*sqrt(9))*2))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55487 = 873*q + 537*q - 103*q - 42538 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/72000 and 109\/156?\nAnswer: 936000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1386524 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-44*(-40)\/5280)\/((-1)\/39)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 10 + 1\/6*r**4 + 1\/2*r**2 - 1\/20*r**5 + 1\/3*r**3 - 11*r. Let g(f) be the first derivative of w(f). Calculate g(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17788966, -17788907, -17788848?\nAnswer: -17788789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -0.5. Let n(t) = t**2 + 8*t + 3. Let o be n(-8). Let i be o - (-1)\/2*-2. Which is the nearest to 0? (a) g (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b = -16*b. Solve b = 2*g - 0*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -4. Let l be 40\/15 - 2\/v. Suppose 2*f - 35 = -l*f. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 3*w - 45, 0 = -4*b - 18*w + 60*w - 47*w + 75 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*n = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pypsyysysypysyppy. What is prob of picking 4 s?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 159, 293, 501, 795, 1187?\nAnswer: 1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*d - d - 8, -4*p = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 4*n - 4. Let a(b) = -3*b**2 + 3*b + 3. Give 3*a(c) + 2*l(c).\nAnswer: -3*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -7, -11, -15, -19?\n\"Answer: -4*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from nnarnwrnrrqr.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*b = -0*f + 10, -3*f - 3*b = -24. Let x(y) = y**2 - 5*y - 4. Determine x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -35, -54, -75, -98?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-4)\/(-5) - 1). Let u = a - 10. Let z(n) = n**2 + 6*n + 1. Determine z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11481968 and 3805.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20103, -19632, -18923, -17976?\n\"Answer: 119*r**2 + 114*r - 20336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -36, 5, -147 in descending order.\nAnswer: 5, 4, -36, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 887001277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/7 - 304*v**4 - 15390*v**3 + 1090232*v**2\/7 - 3000232*v\/7 + 2535360\/7 = 0.\nAnswer: -57, 2, 5, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m + 2. Let j(r) be the third derivative of -5\/24*r**4 + 0*r + 0 + 1\/6*r**3 - 3*r**2. What is 3*b(y) - 5*j(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 6*r - 213. What is the lowest common multiple of r and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4461 = 2*x + 539. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30241, -246465, -833355, -1976245, -3860469, -6671361, -10594255?\n\"Answer: -30889*v**3 + v**2 - 4*v + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -31 + 10 + (-36)\/22\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2.582 rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1765 or 1767?\nAnswer: 1765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 385.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5724941 is divided by 2094.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*-17 - (-129 - -119)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) - (-162)\/30. Suppose -5*z + b*d = -20, 4*z + d - 6 = -0*d. What is the third derivative of -19*x**z - 30 + 30 + 36*x**5 + 3*x**2 wrt x?\nAnswer: 2160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-2)\/4 + 22. Let n be (-22)\/(-8) - 15\/o. Solve -n*t + 5 = 5*h, 4*h - 3*h = 3*t - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*b - 7 = -1, -3*b = -2*s + 7. Solve 0 = s*d - 14 + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2\/11 (c) -0.3 (d) 1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**3 + 3*j**2 + 7*j - 6. Let k(y) = -10*y**3 + 2*y**2 + 6*y - 5. Let a(b) = -4*k(b) + 3*q(b). Is a(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -33 in ascending order.\nAnswer: -33, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 13) to base 2.\nAnswer: 1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/348*(-111)\/37\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -2\/13, -0.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -848?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 381029 + 918975. Suppose -4*q + 4*v = -2600012, 2905778 = 3*q - 5*v + 955771. Suppose -4*p = -j + q, 3*p = 2*j - p - k. Round j to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4300422 (base 5) to base 13.\nAnswer: -269c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 4\/(-8)*-8 + 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 2, m: 1, k: 1, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 136911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 11*u + 52. What are the prime factors of i(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189821996 and 9148048.\nAnswer: 759287984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, 1 z, and 1 o when four letters picked without replacement from {d: 2, z: 3, g: 1, o: 6}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 956133 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/85*400\/(-96)*2\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-18))\/(1\/(-4)). Solve 3*a = 3*i - 12, -3*i - a + 8 = -x*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*y + 0*y + 21 = 0, 0 = d + 5*y + 25. Let c be ((-4)\/(-6))\/(18\/(-27)). Sort 7, c, d in decreasing order.\nAnswer: 7, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259513084 by -64878271.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23209631*j - 68 + 68 + 23209624*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -320806*z + 484376?\nAnswer: -320806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 - -88031.383?\nAnswer: 88447.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from vala?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*h + 4*j + j, 0 = -3*h - 3*j - 9. What is the third biggest value in 3, 0, -0.196, h?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2445, 5034, 7741, 10572, 13533, 16630, 19869?\n\"Answer: c**3 + 53*c**2 + 2423*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*l = 218*l - 936 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7194 - 2999. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/36*26\/(-260)*4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21222103232 (base 4) in base 8?\nAnswer: 11522356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2747442031?\nAnswer: 2747442031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2507 (base 8) to base 12.\nAnswer: -947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.1 (b) 1\/4 (c) -3064 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188.434835s in weeks?\nAnswer: 0.0019650046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**3 - m**2 - 3*m - 2. Let w(d) = -12*d. Let r be w(-1). Let v be 93\/18 + (-2)\/r. Is c(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/25, -4 in ascending order.\nAnswer: -4, -2\/25, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 7*x**2. Let z be u(-7). What is the units digit of (z - 3\/(-5)) + 276\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 16 = -3*u. Let r be ((-2)\/u)\/((-3)\/(-6)). Put -6\/7, 2\/17, r in descending order.\nAnswer: r, 2\/17, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*b = 1697 - 4297 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 34. What is the smallest common multiple of 148 and i(-12)?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 5*v + 8. Let w(d) = -d**2 - 4*d + 7. Let p(b) = -2*j(b) + 3*w(b). Give p(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 - (-8)\/(-28). Let b be 2 - (-532 + 2 - -2). Let l = b - 25972\/49. Which is greater: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*g**2 - 24302*g**3 - 8 - 2*g**4 + 24304*g**3 + 88*g**2 to the form c*g**3 + p*g + x*g**2 + v + i*g**4 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1146 - 1130. What is the remainder when 22 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1408 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0935120508 to four dps.\nAnswer: -0.0935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 152636 + 0?\nAnswer: 152636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t - v + 691, -3*t + 104 = -0*t + 6*v - 115 for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 308205.6 nanometers?\nAnswer: 0.0000003082056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -13\/6 (b) 4 (c) 2\/7 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2916807958857 less than 0.3?\nAnswer: 2916807958857.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4094896*w**3 + 10*w**2 - 7*w - 2577 wrt w.\nAnswer: -24569376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 221.6975 millimeters?\nAnswer: 221697500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, j: 2}. Give prob of picking 2 j and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 98254?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1225 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10183, 10179, 10173, 10165, 10155, 10143, 10129?\nAnswer: 10113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3778.25 - -3778.6499992. Let k = -0.4 + m. What is k rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468384 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -50 - 30. Let q be (20 - 1)\/(3 + -2). Suppose j - d = q. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, w: 3, z: 1, b: 2, e: 4, j: 3}. Give prob of picking 1 b, 2 j, and 1 w.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvjdduuuuvuuu. What is prob of sequence ud?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2. Let x(f) = 9*f**2 + 2*f + 2. Let h(z) = z + 1. Let y(u) = -2*h(u) + x(u). Determine j(y(o)).\nAnswer: 162*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1 (c) 0.0576\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 8800 = 5*k - 2*i, -i = -k + 1768. Suppose 0 = 3*l + 576 + k. What is l rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19522, -38520, -57514, -76504, -95490?\n\"Answer: 2*u**2 - 19004*u - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 3*l + 3990. What are the prime factors of l?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1973311*z**5 + 17*z**4 - z**3 + z**2 - 72287730*z.\nAnswer: 118398660*z**2 + 408*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 3\/2*s**2 + 6*s + 1\/6*s**4 + 0 + s**3. What is l(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert a32 (base 13) to base 7.\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(19)*3*3 + -2 + ((sqrt(2299) + -3*sqrt(2299))**2 - (1 + (sqrt(38)\/sqrt(2))**2)) + -4.\nAnswer: 18*sqrt(19) + 9170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*z - 149*z + 3*h + 215, -4*z = -4*h + 60 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16451432*d**3 + 9611770*d**2 + d + 1?\nAnswer: -98708592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:07 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -41.7. Put q, 2.8, -1\/3 in descending order.\nAnswer: 2.8, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*c + n - 20011, -12011 = 3*c - 5*n. Does 40 divide c\/(-20) + 19\/(-190)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*w**5 - 19*w**4 - 374*w**3 - 9234162*w wrt w.\nAnswer: -1540*w**3 - 228*w**2 - 2244*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzhh when four letters picked without replacement from ffaaaqqfqqzhfafahqah?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5. Let q be h + -2 + -1 + 3. Suppose 3*c - c = b + 1, 12 = -c + 3*b. Sort -3, q, c in ascending order.\nAnswer: -3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**3\/3 - 2*u**2 + 6*u. Calculate m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20378 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 4*y + 5*w, 3*w = -2*y - 0 + 70. Suppose y = 2*f - 24. Factor 8*v**2 - 5*v**3 + f*v**2 + 19*v**2.\nAnswer: -5*v**2*(v - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 5*x + 10. Let f be r(4). Suppose 14 = 5*p - f. What is the first derivative of l**2 - 4 - l - p*l + 5*l wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 28. Let f(p) = p**3 - 2*p**2 - p - 4. Let n be f(l). Let v(y) = 2*y + 2. Let c(t) = -6*t - 7. What is n*c(u) + 7*v(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 + 2.91. Let s = -8 + 5. Let h = s + v. What is the closest to 0 in h, 3\/5, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079165449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -3\/13, -4, 4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17003368 is divided by 32636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -184, -236, -346, -526, -788, -1144, -1606, -2186?\n\"Answer: -2*d**3 - 17*d**2 + 13*d - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 6. Let f(r) = 2*r + 3. Calculate 9*f(o) + 4*u(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 + -278 + (-1 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 96181554939.\nAnswer: 96181554939.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000332589 rounded to 7 dps?\nAnswer: -0.0000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-45) - 2)\/(12\/(-10))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1603, 1604, 1605, 1606, 1607?\n\"Answer: n + 1602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**2\/2 + 7*n + 6. Calculate the smallest common multiple of m(3) and (6\/(-4))\/((-2)\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let k(g) = -3*g**2 - 75*g - 4. Give k(d(v)).\nAnswer: -3*v**2 - 75*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/30)\/(552\/(-46)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = -432*p - 10539 + 2367 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-81))\/(2\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w = 9505 - 9758 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**3 - 4*w**2 - w + 5. Let o(a) = a**3 + 5*a**2 - 14*a - 44. Let x be o(-6). Let r(v) = 14*v**3 - 11*v**2 - 4*v + 14. Give x*r(u) - 11*f(u).\nAnswer: u**3 - 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-12) + 2)\/((-1)\/(-4)). Let w be ((-6)\/3 + z)\/1 - -4. Solve w*l + 25 = -0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 400374008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172926107 to the nearest integer?\nAnswer: 13150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 89 - 6 = 0. Let c(o) = -o - 24 + v + 3*o + o**2. Determine c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 385 or 0.05?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*r + 85 = 0, 29 - 10 = 2*c + 3*r. What is the second derivative of 39*w + 7*w**4 + w**4 + 12*w**4 + c*w**4 wrt w?\nAnswer: 408*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 3:31 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37524, -148031, -332212, -590067?\n\"Answer: -36837*u**2 + 4*u - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - -2*sqrt(117))*6 + sqrt(117))\/sqrt(9))**2.\nAnswer: 4693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 - 522840*g - 22780138800 = 0. What is g?\nAnswer: -87140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/363 and -61\/132.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.22 or 66\/29?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2))**1)**7\/(((r**0*r)\/r)**(-4\/3)\/((r\/(r\/r**(-1\/5)))\/(r**(1\/8)*r))) assuming r is positive.\nAnswer: r**(-613\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8490760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -570*0.101\nAnswer: -57.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.41 or 21\/80?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 16. Let t(n) be the first derivative of -n**4\/4 + 2*n**3\/3 - 1. Let x be t(s). Which is bigger: x or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -32 (b) 3\/7 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 28*f + 0 - 30*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98876034, -197752067, -296628100, -395504133?\nAnswer: -494380166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5, 11.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y**2 + 3*y + 4. Let q be r(-2). Suppose 759 = l + 2*d, 0 = l + q*d + 3*d - 753. Let z = l - 449. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d**2 + 498*d + 7. Let j(q) = -2*q**2 + 1. Determine -6*j(u) + s(u).\nAnswer: u**2 + 498*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -19. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3687800\/5400 - (-4)\/54. Sort j, -1, 4, -3 in decreasing order.\nAnswer: j, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 33. What is the least common multiple of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k = 29*k + 894. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - -26) + -11 + -57.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11240381 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -317 + 328. What is the highest common factor of c and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -1)\/(-2) - -5. Suppose -34 = k + k + 2*i, -b*i - 90 = 5*k. Let r be 5\/15 + k\/(-6). Solve -r*u - 2 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*3\/12*0. Suppose -5*x + y*x + 25 = 0. What is the third derivative of 7 - x - 2 + 4*z**5 - 3*z**2 wrt z?\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*y. Suppose z - 18 = -3*m + 4*z, 2*z - 9 = -5*m. Suppose y = -m*n + n. Solve 2*b + 5 + 3 = n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -39 + (27 - -30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/360 + 35*f**3\/6 - 49*f**2. Let s(l) be the first derivative of j(l). Let g(b) = -22*b**2. Calculate g(s(t)).\nAnswer: -22*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.30624 kilometers to meters.\nAnswer: 69306.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 18 + (-5 - -4 - 69).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = 4. Suppose k - 5*w = 18, u*k - 5 - 1 = -5*w. Let m = 10 - k. Solve 3*i = 2*i - m, i = 2*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -187 + 189. Let n be (-4 + -2)*((-3 - o) + 1). Sort 0, n, 3, 1 in descending order.\nAnswer: n, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2405 in 0, -9, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 171, -2127, -14.\nAnswer: -2127, -14, -5, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001110 + 1010?\nAnswer: 110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -254116.25 take away 0.02?\nAnswer: -254116.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1280\/(-128800)*-115)\/((-8)\/(-126)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 458, 826, 1194, 1562, 1930?\nAnswer: 2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 10*d - 95. Determine t(15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -2\/13 (b) -2\/15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6057, -48688, -164481, -390018, -761881?\n\"Answer: -6097*l**3 + l**2 + 45*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798 = 177*v - 234*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*r + 5, -4*r - 4*j + 6*j = 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + (-79 - -40) + 7 - 109?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t - 11488 - 10*t + 3003.\nAnswer: -t - 8485","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3*t - 4 = 0, 0 = -0*t - 2*t - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -106, -212, -402, -700, -1130, -1716?\nAnswer: -2482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/17381 and -67\/44.\nAnswer: 764764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/5 - 296*d**2\/5 - 874*d\/5 - 116 = 0.\nAnswer: -145, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 6014*f - 11372*f - 3*f**3 + 5358*f - 9 + f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*w + 8, 2*w + 10 = b - 3*w. Let d = -1 + 3. Suppose -d*p = 4 - b. Let z(k) = -k**2 - k - 1. Calculate z(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.003? (a) -0.01 (b) 4 (c) -1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let o(m) be the first derivative of -2 - 7\/12*m**4 + 0*m**2 - 2*m + 0*m**3. Let n(i) be the first derivative of o(i). Give a(n(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*j + 4. Let v = -1 + j. List the prime factors of -7*1\/(-4 - v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -518760\/7 or -74110?\nAnswer: -518760\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 192220?\nAnswer: 1\/96110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 <= 321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/10 and (-5)\/5 - (-26)\/44.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 60 (b) -1 (c) -0.3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24499 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276*x**3 + x**2*y - 16*x**2 + 410*x*y - 2*x + 3*y wrt x.\nAnswer: -1656*x + 2*y - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1306 - 579 = 0. What are the prime factors of w?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgggzgzggppgpgggtzpg. What is prob of picking 1 p and 1 t?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, q: 4, l: 1, i: 2}. What is prob of sequence nnq?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 5) in base 8?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13238895 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: Factor -2*x**2\/3 + 710*x\/3 + 712\/3.\nAnswer: -2*(x - 356)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 3, e: 7}. What is prob of picking 2 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1340*w**3 + 335*w**2 + 335*w. Let z(c) = -c**3 - c**2 - c. Calculate 3*r(i) + 1005*z(i).\nAnswer: 3015*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7947 and 7.9.\nAnswer: -62781.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18485 divided by -4\nAnswer: 18485\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/9)*q)**(2\/151)*q\/((q**(-3)*q)\/q)*q*q*q\/q**8*q*((q\/(q*q**(-1\/5)))\/q)\/q**(-7)*(q**(2\/3))**(-1\/87) assuming q is positive.\nAnswer: q**(1224871\/197055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*g + 5*c - 3*c, 155 = 5*g + 5*c. What is the remainder when 55 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4\/9*d**4 - 4232\/9*d + 0 + 1748\/9*d**2 + 176\/9*d**3 = 0.\nAnswer: -23, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 - 3. Let p be t(3). Let j = 4 + p. Let g(c) = -1 + j - 2*c. Let i(y) = 2*y**2. Give g(i(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czgg when four letters picked without replacement from {c: 8, z: 3, g: 4, j: 2}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-10\/7)\/m)**15 assuming m is positive.\nAnswer: m**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*b - 5*t = 224*b - 54, 5*b - 102 = 4*t. Solve 3*l = 8*i - 4*i - 3, i - 5*l - b = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/(-22) - (-14)\/77. Which is the closest to -5? (a) 3 (b) -5\/2 (c) -2\/5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 10. Let k(l) = l**2 + 7*l + 12. Let n be k(-8). Suppose -10 = 3*i + 4*y, h*i - i - n = 3*y. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.2 - 9.22. Let b = j + 18.480012. Let o = b - 0.06. Round o to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(35\/(-4))*21\/6. Let z(l) = 11*l + 5*l**2 - l**2 + 4 - 20 - 5*l**q + 6*l. Give z(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383173, -383176, -383189, -383218, -383269?\nAnswer: -383348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Expand -21*s**2 - 2*s**5 + 21*s**2 + (-4*s + 6*s + 0*s)*(-11457*s**2 + 11457*s**2 - 123*s**4).\nAnswer: -248*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -21*a + 140. Suppose a*o - 1248 = -16. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 13 + 6 - (-47 + 59)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-4 + 2 - -9)*22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**2 - 6*n - 8. Let s(w) = 21*w**2 + 19*w + 25. Let k(c) = -2*s(c) - 7*u(c). Let m be k(-3). What is the highest common factor of m and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5425*l**2. Let u(p) = -2*p. Calculate t(u(s)).\nAnswer: 21700*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdwreeewnve. What is prob of sequence wwr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16.39+-331\nAnswer: -314.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-12)*-2)\/(3\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14305 or -13737?\nAnswer: -13737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2 + 19*z + 8. Let s(y) = -4*y**2 + 13*y + 6. Let h(i) = -5*n(i) + 7*s(i). Calculate h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187316?\nAnswer: 2, 46829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 717151\/174910 + -2\/17491. Find the common denominator of 10\/11 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 - 2)*(-2*j + 4*j + 0*j) - 2 + 2 - j - 2*j - j + 5*j)*(88 - 7 - 15*j**2 + 25*j**2 + 71).\nAnswer: -10*j**3 - 152*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x - 5*f = -95, -31 = -x + 3*f. Let r(t) = 33*t + 294. What is the thousands digit of r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9 - -2.921. Let r = 0 + -0.012. Let f = t - r. What is f rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1571 by -17.\nAnswer: -1571\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/108 and -55\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 126 (b) -3\/14 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-9))\/(44\/99)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/30 and -13\/45489?\nAnswer: 454890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271 = 20*a - 231 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -133611216 (base 7) in base 16?\nAnswer: -84a16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 4\/3 (c) -11 (d) -22 (e) 4\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2134218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942*b + 42 = 949*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/60 - n**4\/12 - n**3\/6 - 2*n**2. Let a be f(-2). Let g = 5 + a. Is 2 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/4 - (-1 + 1). Let t = -10732 + 10848. What is the third biggest value in t, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1))\/v**(-8))\/(v**(-1)*v**(-2\/23)))\/((v**3)**(-15))**40 assuming v is positive.\nAnswer: v**(41609\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 7. Let k be h(0). What is the units digit of (-4)\/k + (-335)\/(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:09 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -124 and 438.01?\nAnswer: -54313.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/17645?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1 - (-1 + 3). Let j(y) = -y**2 + 28*y + 78. Let w be j(27). Suppose -6*k + w = 15*k. Sort 0, k, o, 3 in decreasing order.\nAnswer: k, 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (8 - 16)) + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c = -44. Let u be 1805\/55 + 2\/c. Suppose -3*v + u = 3. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 14661*b + 44. Is i(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1581509374, -1581509372, -1581509370?\nAnswer: -1581509368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 33\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*3\/(-18)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30881805\/1837 + 16811. Suppose -2*m = 4*k + 6, 4 - 1 = -3*k. Does m = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 - 5*z**4 - 10*z**3 + 10*z**2 + 5*z - 5.\nAnswer: 5*(z - 1)**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*m**3 - 4520*m**2 + 40908*m + 18360 = 0. What is m?\nAnswer: -170, -3\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p + 11 + 66 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/64, 7135, 10\/9 in descending order.\nAnswer: 7135, 10\/9, 13\/64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/11)\/(9\/(-6)). Suppose -3*i + 0*i = -6. Suppose i = -k - 1. What is the closest to -1\/5 in x, k, -3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 302.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) 1 (c) 5 (d) 0.15 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 + (-12)\/7. Let u be (4\/(-3))\/(z\/(-6)). Suppose -3*v - 62*a = -64*a + 7, -3*v - 12 = 3*a. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*n - 7, 3*d - d - 8 = -2*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 22\/(-2) + (-18 + 28 - -21421)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**3\/3 + v**2 - 3*v. Calculate the remainder when 30 is divided by c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53162 is divided by 25852?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4\/9, 0.093 in decreasing order.\nAnswer: 0.093, -4\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m. Let z(a) = 631*a**2. Calculate j(z(q)).\nAnswer: 4417*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -213, 5, -4 in descending order.\nAnswer: 5, 2, -4, -10, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6415*s - 6415*s + 10*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.1, -0.369, -0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20694?\nAnswer: 2, 3, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.255 - -1.365\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngvngvvnddvvcvh. What is prob of picking 1 h and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 904 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h - 13. Let y be m(4). Let n = y - 36. Suppose 11 = 4*g - 3*j - 4, 0 = n*j + 3. Solve g*p = 4*q + p, 5*p = -10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.3 * -12932134.\nAnswer: -197861650.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217\/76 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 125*f - 7607. What is the least common multiple of 5 and w(65)?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79807 is divided by 344.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 11\/5)*75\/30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234 + -332?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6121658 (base 9) to base 12.\nAnswer: -1113945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*j + 12 = 225*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6\/5, -7, 1\/3, 6 in descending order.\nAnswer: 6, 6\/5, 1\/3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 + -21?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -136, -213, -332, -499?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*h**3*z**3 + 50*h**3*z + 4*h**3 - 2840*h**2*z + 2*h + 824678*z**5 - 1 wrt z?\nAnswer: 120*h**3*z + 16493560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2097.2280774 + 17.\nAnswer: 2114.2280774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 8*a + 5*x - 30 = 0, 4*a + 22 = 2*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooeu when four letters picked without replacement from zeugooegez?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57622, 230612, 518936, 922594?\n\"Answer: 57667*g**2 - 11*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + l + l + (1 - 6 + 3)*(-l - 4 + 4) + 0*l - 2*l - l + 4*l - 2*l - 3*l)*(3 + 1 + 0) as i*l + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -2*y**6\/15 - 9*y**4\/4 - y + 4. Let a(f) be the first derivative of o(f). Find the third derivative of a(s) wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 387\/(-4515)*(-1 + (2 - 11))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0225966 and -1.\nAnswer: -1.0225966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3687 divided by -3?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -781*g + 7861. Let t be c(10). Solve 0 = t*b - 21*b + 180 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -12, 2, -0.4, -11, 84\/25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -2*c + 3*c. Let k = c - -1389\/7. Let d = -1 + 1.5. What is the second biggest value in k, -1\/5, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-18)*1)\/(14\/21). What is the third biggest value in 3, o, 0.3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 2, p: 1, u: 1, q: 1, i: 2}. Give prob of sequence ul.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 4 = -6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.016 - 0.037. Let j = 0.363 + n. Let m = j - 0.309958. Round m to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (89 - 70) + 8 + (-6 - 1 - 144)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (31 - -18 - 4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - z + 3. Let t(j) = 6*j**2 - 288*j - 13. What is -4*l(h) - t(h)?\nAnswer: 2*h**2 + 292*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by 3216\nAnswer: -51\/1072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/1*108\/162)\/(-8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (255\/34)\/((-9)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 5024876536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10548171 times 1?\nAnswer: -10548171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 6*t**2. Let l be z(-6). Suppose 4*c - c - 138 = l. Suppose 2*h + 3*h - 63 = -3*v, -2*v + c = 2*h. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/2159 and -21\/37?\nAnswer: 79883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (-12)\/((-24)\/4). Solve -s - 10 = -k*x, 6*s - 2*s + 13 = 3*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-4\/7))\/q**(-1\/8))**36 assuming q is positive.\nAnswer: q**(855\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/5 + 4406324*z**2 - 176252768*z\/5 + 352505408\/5.\nAnswer: -4*(z - 5507897)*(z - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -150*f + 3. Let k(x) = -5*x + 1. Determine -5*k(u) + o(u).\nAnswer: -125*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182.25 - 203. Let r = -20 - i. Let g = r - 0.75. Which is the smallest value? (a) -1\/3 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 8:18 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -39. Let t be (-5)\/(-2)*(-3 + 1). Let o be 1 + (2 - t\/(-2)). Which is the second biggest value? (a) g (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.86449252 + 3.\nAnswer: 66.86449252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -260, -261, -262?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3031*k**2 - 14*k - 1. Is p(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, e: 5, d: 10, l: 1}. Give prob of picking 3 d and 1 l.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrsssssr. What is prob of picking 4 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1100 and 73\/660?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 70 = -78. Which is the nearest to -1? (a) 4 (b) -0.4 (c) z (d) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(2\/3)\/i)))**(-1\/8)*i**(1\/2)\/(i\/(i**8*i)) assuming i is positive.\nAnswer: i**(205\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 10 + 22 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477306 and 70416?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 3*v**4\/2 + 2*v**3 + 2*v**2 + 95. What is the tens digit of z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 = -0*p. Solve -30 = 5*i - p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y = 5*d - 46744, -2*y + 31150 = -3*d. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46\/5*t**3 - 16\/5*t**4 + 0*t + 12*t**2 + 2\/5*t**5 + 0 = 0. Calculate t.\nAnswer: -3, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyiidyiiyi. What is prob of picking 1 i and 3 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1089*z**2 + 87*z - 1481. Is j(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 - (-4 + -3 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i - 4. Let y be b(-7). Let d be 16\/y - (-92)\/6. Solve 0 = -u - 4*w + d, 2*u - 4*u + 4*w = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 366, 77, -116 in descending order.\nAnswer: 366, 77, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(16\/(-24)). Calculate the remainder when 16\/i*(-2)\/(-4) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u**2 + 2*u + 1. Let i(t) = 7*t**3 + 4*t**2 - 15*t - 6. Give -i(s) - 4*n(s).\nAnswer: -11*s**3 + 7*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5808 and 1272?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*g = -7, -4*g + 0 - 16 = 0. What is the greatest common factor of h and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (3 - (6 + -1)) + -6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4 - 0)*(-196)\/21. Put x, -5, -3 in increasing order.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1821950 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/120*-5)\/((50\/15)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ddc (base 16) in base 4?\nAnswer: -313130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 9*a + 5. Suppose d + 8 = v, -3*v = -d - d - 22. What is x(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -482, 7, 3 in ascending order.\nAnswer: -482, 3, 7, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, g: 2, b: 1, t: 3, d: 2, r: 1}. Give prob of sequence gtdd.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j**3 + 16*j**3 + 14*j**3)*(2*j - 3*j + 2*j)*(0 + 0 - 5) to b*j**3 + q*j**2 + x + v*j + p*j**4 and give p.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**2. Let a(s) = 385*s. What is l(a(k))?\nAnswer: -1037575*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -22. Suppose -h + 3*h = -14. Let l = h - -20. Calculate the remainder when l is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24104 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6102, -24660, -55682, -99174, -155142?\nAnswer: -223592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i**2 - 10*i - 12. Let o(h) = -17*h**2 + 11*h + 11. Let q(a) = 2*o(a) + 3*s(a). What is q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9856 - -9855.995436. Round s to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*1536\/(-1408).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97734745?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293 divided by 85435.\nAnswer: 293\/85435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 14*p - 8. Let u be o(-6). What is the first derivative of 10*k**2 + 2 - u - 14 + 31*k**2 wrt k?\nAnswer: 82*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7741 is divided by 745?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 4*d**2 - 1. Let m be h(3). Calculate the lowest common multiple of 2 and (-144)\/(-20) + 2\/m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162827893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3621 = 813*a + 9585 + 2979 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0319 - -3.3081. Let m = -10.34 + n. What is the fourth biggest value in 1, -4, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z + 217. Determine p(-20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -6*h - 12336. What are the prime factors of h?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 21. Let d(y) = 17*y + 0 - a + 5. Let k(t) = 2*t**2. What is d(k(w))?\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.4 - 11. Let y = -0.1 + 0.07. Let g = i + y. What is g rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131747927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1370588 - 662042. Let u = -1022546 + y. Round u to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from suwiw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 + 16*m**2 + 121*m + 3*m.\nAnswer: 23*m**2 + 124*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166464 + 21973381\/132. Find the common denominator of x and -55\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171 and 1349475?\nAnswer: 4048425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*d + 2\/5*d**2 + 0.\nAnswer: 2*d*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.959682 plus 0.5?\nAnswer: -0.459682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 397?\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/11)\/p)\/p)\/p**(-4\/7)*p\/((p*(p\/(p*p**(-7\/3)))\/p)\/p*p)*p**7*(((p*p**(-2\/5))\/p)\/p**(2\/19))**(-25) assuming p is positive.\nAnswer: p**(74440\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t - 3*m = 11, 3*m = -2*t - 19. Let f = t - -12. What is the least common multiple of (-4)\/(-4) + 3 + f + -2 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -213*z**3 + 6*z**2 + 181*z + 6. Let v(j) = 212*j**3 - 5*j**2 - 180*j - 5. Let w(r) = 5*m(r) + 6*v(r). Find the second derivative of w(q) wrt q.\nAnswer: 1242*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93174\/4*(-86)\/(-129) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/18 and 8\/(-36) + (-2)\/(1584\/(-2228)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -400 + 6112. Does 51 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3212?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -7, 16, 31 in ascending order.\nAnswer: -7, 0, 3, 16, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 16393.473 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*c - 99 = 198*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572531795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1155 (base 8) to base 5\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 30 = 10*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1883 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c = -138. Differentiate 12 + 71*z**4 - 1 - c*z**4 - 36*z**4 with respect to z.\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggjggggggjggjjgggggg. What is prob of picking 1 g and 3 j?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*-5*(sqrt(2178) + 1)*-2)**2 + 1.\nAnswer: 178200*sqrt(2) + 5447917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/13, -1, 26\/3, 61, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55, -61, -67, -73, -79, -85?\n\"Answer: -6*z - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19019 and 67464286.\nAnswer: 67445267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Let g(t) be the first derivative of 3*t**2\/2 - 8. Calculate l(g(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 + -162. Does 8 divide c\/(-34) + (0 - -536) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-4))\/((-5)\/(-4)). Suppose 13*w = 12*w + d. Factor 1\/4*h**4 + 1\/4 + 0*h**3 + 0*h - 1\/2*h**w.\nAnswer: (h - 1)**2*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q**(3\/10)*q))*q**(11\/2))\/((q*q\/(q\/((q*((q\/q**2)\/q)\/q)\/q)*q)*q)\/q*q*q**(-17)\/q) assuming q is positive.\nAnswer: q**(139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + 1010211?\nAnswer: 1002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 minutes before 11:48 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3771, 15204, 34283, 61002, 95355, 137336, 186939?\n\"Answer: -x**3 + 3829*x**2 - 47*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**6\/120 + u**5\/60 + u**3\/6 + 29*u**2\/2 - 24*u. Let t(l) be the first derivative of c(l). Determine t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 691 - 686. Suppose -i*n + 52 = 5*z - 4*z, -3*n - 4*z + 21 = 0. Suppose a - 5 + 3 = 0. Solve -q = 3*q + a*l, n = q - 5*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 50 = -98 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 5314?\nAnswer: -1115.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -281*i**4\/2 + i**3 + 146*i + 1712. What is the third derivative of n(u) wrt u?\nAnswer: -3372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/3550488 and -137\/30.\nAnswer: 17752440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**0))\/a)**(2\/17))**(-2\/9) assuming a is positive.\nAnswer: a**(4\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -3, 0, -7, 173 in increasing order.\nAnswer: -65, -7, -3, 0, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/7)\/(364\/49 - 9). What is the nearest to -9\/4 in -3, 3\/7, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-18 - -2 - -21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 671 divide 9783180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122 and 5.7336?\nAnswer: 699.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 23*z - 161 = 0. Let a(k) = 4*k**3 + 3*k**2 - 2*k**2 + 13*k + z*k - 21*k. Give a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 + -11. Let i = k + 64. Let o = i - -152. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 248\/3100 - (-4496)\/50.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2*z*z**1)\/(z**(-4\/5)\/z**5))\/((z**(2\/5)\/z)**(15\/7)*(z\/z**(2\/7)*z)**23) assuming z is positive.\nAnswer: z**(-992\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -3*h**7\/14 - h**4 + 12*h. What is the third derivative of i(f) wrt f?\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-4)\/(-6)) + (-825510)\/180. Suppose -4*j - 13801 = 3*l, 2*l + 4*j + 6545 = -2653. Let m = o - l. What is the common denominator of m and -109\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8558 is divided by 172.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**23\/(((z*z*z**(-1\/2)\/z*z)\/z)\/(z*z*z\/(((z*z*z\/(z**4*z)*z)\/z)\/z))) assuming z is positive.\nAnswer: z**(79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201120002110 (base 3) in base 14?\nAnswer: 299908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -95 - -65 - (3 - 1 - (9 - -97)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-78))\/(-7*(-8)\/(-168))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 4*s + 3*q = -0*q - 29, 17 = 3*s - 23*q - 230 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5152 (base 6) to base 14\nAnswer: -5c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 + -2*4667638\/(-480). Let y = 19452 - z. Calculate the common denominator of y and 17\/7.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161452.\nAnswer: 2, 181, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1232\/61 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 5*q**2 + 6*q + 5. Let z be v(5). Let f = z - -3. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/9 + 2884*a\/9 + 5776\/9 = 0.\nAnswer: -2, 1444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19*d - 13. Calculate k(4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13184290 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 502 - -b?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(6*(sqrt(5) - sqrt(180) - sqrt(5)))**2 + (sqrt(5) + sqrt(405)*5)**2 + -1 + sqrt(5) + -1.\nAnswer: -2385 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7811722l?\nAnswer: 781.1722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsygmmc. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63800 and 1508?\nAnswer: 829400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/2)))\/(((a**6\/a)\/a)\/a)*a**(4\/5)*a*a**(1\/4) assuming a is positive.\nAnswer: a**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-36))\/(1\/1)*14. Let b = -58 + 60. Solve -3*s - 5 = 4*m + b, i = -4*s - 3*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -162, -110, -16, 132, 346?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**17*y**6)**(-43) assuming y is positive.\nAnswer: y**(-989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 2*c**2 + c**4 + 2*c**2 + c**3 - 1 + 9*c to v*c**3 + i*c**4 + s + f*c + d*c**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -423 and 0.4?\nAnswer: -169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 74, 76?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2370 and 1513008?\nAnswer: 7565040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/76953666 and -81\/16.\nAnswer: 615629328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1787*n + 896*n - 297745 = -898*n. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let w(x) = -x**2 - 4*x + 4. Let d be w(-5). Sort l, d, -4 in descending order.\nAnswer: l, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z - 28. Let b(f) = 24*f - 55. Calculate 6*b(u) - 11*s(u).\nAnswer: u - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 30 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6393*f. Let q(b) = -2*b. What is q(w(u))?\nAnswer: 12786*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (575\/230)\/(5\/3)*2\/(-27).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1250780, -5003114, -11257004, -20012450, -31269452?\n\"Answer: -1250778*r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9909.9 grams?\nAnswer: 9909900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*166.\nAnswer: -49.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 31. Let n(m) = -1557*m - 13. Let d be n(b). Round d to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155000 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (58\/4)\/((-1)\/2). Suppose -42 = 424*k - 421*k. Let v = k - f. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2\/3, -0.5, 10 in decreasing order.\nAnswer: 10, -2\/9, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*n**4 - 522*n**3 + n**2 - 631*n + 32 wrt n?\nAnswer: 1464*n - 3132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01139747 - 0.0114. Round f to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 243 + -244. Is 49 a factor of n\/6 - (1165\/(-6) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 183424*h**3 - 3*h**2 - 3*h - 2. Let a be x(-3). Let p = -1360627 - -608159. Let q = a - p. What is q rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-244)\/4514 + (6 - 292\/74). Let m be ((-3)\/27)\/((-1)\/3). Factor 8\/3*u**p - 50\/3 + 5\/3*u + m*u**3.\nAnswer: (u - 2)*(u + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)\/u*u**(-3\/11))\/(u**(2\/9)*u*u*(u*u**(3\/4)\/u)\/u) assuming u is positive.\nAnswer: u**(-5633\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(((-2904)\/(-99))\/44) + (0 - 20).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 22 = 3*i, 4*o + 0*o + 12 = 5*i. Suppose 3*a - 4*g = 43, -o*g - 4 = a - 5. Let u = 24 - a. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - f)*(90 - 38 + 436).\nAnswer: -488*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8*m - 29 = -h, -17 = -3*h - m. Suppose -4 - 112 = -h*t. Calculate the highest common factor of t and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12228 times -3?\nAnswer: 0.36684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037 is divided by 227.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -1\/4, 15, 95, 13\/11.\nAnswer: -1\/4, 0.4, 13\/11, 5, 15, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16366876 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16804 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 2. Let c(d) = -d**3 + 4*d**2 - 2*d + 3. Let z be c(3). Let m be 48\/(-28) + z\/(-21). Calculate n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/33)\/((-2022)\/(-24264))\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-19))**(3\/14)*(t**(3\/10))**32)**(-2\/3) assuming t is positive.\nAnswer: t**(-324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/8769031 and -31\/179?\nAnswer: 8769031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 1)*3*(-85)\/((-8415)\/(-132)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9. Let d be (31\/(-62))\/((-1)\/(-2)). Let f be 4\/36*(d - x)*-1. Is f > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12707 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*x = -6, -2*l - x = 3*x. Solve 0 = l*t - 3 - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49125.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 39*i**2 - 2*i + 2. Let z(d) = 78*d**2 - 5*d + 5. Give -5*o(s) + 2*z(s).\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182.1 + -182. Sort -2\/47, -0.2, m in increasing order.\nAnswer: -0.2, -2\/47, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -20. Suppose 26 - l = 3*h. Suppose 0 = -5*w - 5*o + 30, -9 - 1 = -h*o. Solve 4*b + z = 5*z + 12, z = -w*b + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-270 - 159 + 68)*(-5*u + u + 3*u + (u - u + u)*(2 + 2 - 5)).\nAnswer: 722*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (409*l - 23365*l**2 + 404*l + 415*l - 1228*l)*(-2*l + 6 - 6)*(4*l + 0*l - 3*l).\nAnswer: 46730*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlec when four letters picked without replacement from lxllcedel?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*t - 3 = 0, 4*z - 27 = -0*z + 5*t. Suppose 105 = 5*q + 5*w, -3*w + 35 = 5*q - 74. Solve z*o + 2*o - 3*p - q = 0, -3*o + 15 = -3*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*m*r - 373*j**3*m + 13*j**3*r**2 + 41*j**2*m - 2*j**2 - 2*j*m*r**2 - j*m - 2*r wrt j?\nAnswer: 6*m*r - 2238*m + 78*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39, -44, -51, -60, -71, -84, -99?\n\"Answer: -a**2 - 2*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3840\/(-16308) - (-120)\/244620*27\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 122\/24) + 6\/72. Let d(z) = -z**3 - 9*z**2 + 7. Let u(i) = -4*i**2 + 3. What is o*d(q) + 9*u(q)?\nAnswer: 4*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 1208172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x**(-9)*x)\/x)*x**(2\/5)*x*(x**(4\/15)\/x)\/(x*x**17\/x) assuming x is positive.\nAnswer: x**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o**2 + 33*o + 6. Let b be k(3). What is the smallest value in 105, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 250*r**2\/3 + 3352*r\/3 + 3776.\nAnswer: (r + 6)*(r + 8)*(r + 236)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2710.8 + 2655.2725. Let q = -0.6525 + r. What is q rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84385 (base 9) to base 2.\nAnswer: 1101100110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.85 times -2?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x + 2*x**4 - 2*x**3 + 15*x + 4*x**2 - 29*x to p*x**3 + j + n*x + m*x**4 + c*x**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2723 * 4\nAnswer: 1.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112 + 476 = -79*a + 707 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426887772?\nAnswer: 2, 3, 29, 433, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 2*z**2 - 42 + 82.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/20 - 7*d**4\/12 + 5*d**3\/6 + 27*d**2. Let b be n(-5). Let p(f) = -2*f - 2. Let a be p(-2). Solve a*u + 6 = -b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/45 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1068 + 1066. What is the biggest value in i, -4, 1208?\nAnswer: 1208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 9:29 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.025166 and 0.3?\nAnswer: 0.0075498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-29232)\/441 - -77)?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 2, -363 in decreasing order.\nAnswer: 86, 2, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 - 33*d - 72. Let z be p(-7). Solve -z = -5*j - o, 4*j + 2*o - 3 - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 20 + 11 + 8. Let a = -1 + -3. Let l(p) = 2*p - 6. Determine a*b(n) + l(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/3))**(-14\/9) assuming b is positive.\nAnswer: b**(-14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82126?\nAnswer: 2, 11, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n - 11. Let q be a(-2). What is the first derivative of -2*l - 6*l - q + 52 wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 4*j + 5. Let t be v(-5). Suppose 5*z + z - 54 = t. Let w be (-119)\/(-21) + 3\/z. Calculate the highest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*d = -179*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -75*j - 5. Let p be r(-2). Let d = p + -65. Suppose 2*x - 158 = -3*s, -4*x - 90 = -3*s + d. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1638 = -3*h, 1647 = 3*h - 21*x + 22*x. What is the remainder when h is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g**2 + 0*g**2. Let j(a) = -a - 2. Let i(z) = -10*z - 12. Let s(v) = i(v) - 6*j(v). Determine s(r(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6 = 3*g, 2*f + 6209 = 5*g + 6219 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 327*k + 2667. What is c(-7)?\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/141393 and -32\/21.\nAnswer: 141393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 12.33.\nAnswer: 12.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3 + (-3 - 3 + 4)*(12 - 3 - 1))*((-1 + 0 - 1)*(-1 + 1 + 1) + 0 + 0 - 2 - 2 + 2 + 1)*(-1 + 3*r + 1).\nAnswer: 180*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**7\/420 - l**6\/180 - l**5\/12 - l**4\/4 - 2*l**3 + 10*l. Let u(g) be the second derivative of n(g). Factor u(d).\nAnswer: 2*(d - 3)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 2, u: 1}. Give prob of picking 1 h and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -13*r - 112. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 + 6*o + 7. Let r be b(-1). Suppose 16 = -16*s + 20*s. Put -4, s, r, -2 in descending order.\nAnswer: s, -2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {j: 1, l: 2, i: 4, r: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1*14\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-30)\/(-4))\/((-54)\/(-1332)) is divided by ((-3)\/6)\/(4\/(-248))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6226 + -0.04?\nAnswer: -2.6626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 + 6)\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 10:26 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 8, -2\/89, -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20395*q + 165 = 20398*q. Calculate the remainder when 264 is divided by q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -3. Let n be d\/12*1812\/8. Let w = -38 - n. Which is the closest to 0? (a) w (b) -2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 596. Let j(r) = -r**3 - 2*r**2 - 174*r - 326. Let i be j(-2). Calculate the highest common divisor of i and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2\/7)*s**(-1\/5)*(s*s**(2\/7))**(-21) assuming s is positive.\nAnswer: s**(-907\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = m + 2*b, 7*m - 4*b - 68 = -6 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462491 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 24458341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-12) + 229\/3. Calculate the highest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 1.2\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 11. Let d be 4*u\/(-8) + -1. Solve -7*n**2 - 7*n - 13*n - 20 - 8*n**2 + 10*n**d = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 3*p + 309, -4*h + 1393 = 141*p - 13001 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 29. Let x = -450 - -467. Let i = x - o. Which is the third smallest value? (a) i (b) -0.3 (c) 2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -33*f**4\/8 - 61*f**3\/6 - 8*f**2 - 2*f + 4. Find y, given that w(y) = 0.\nAnswer: -1, -2\/3, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 4*v - 10*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, v: 3, k: 1, g: 1, y: 3}. Give prob of sequence kgy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2446 - 11?\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66.6 + 67. Which is the nearest to 2? (a) v (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 54*h**2 + 8*h + 479. Determine p(-54).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - (0 - -2))\/(-16 - -14). Suppose 4*f = z*o, -2*o + 5*f - 40 = -7*o. Solve -5*i + 0*i - o*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-1 - 1) + 1). Let r = 78 + -83. Put r, 3, i in decreasing order.\nAnswer: 3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g + 48*g - 1062 = 0. Suppose -t - 116 = -g. Solve 0 = 3*n + t*i + 4, 16 = -n - 2*n + i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-7)\/(-7))\/((-1)\/(-555))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009953078 rounded to seven dps?\nAnswer: 0.0009953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 11, -11, -75, -199?\n\"Answer: -3*b**3 + 6*b**2 + 5*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, u: 1, l: 1, i: 1}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180.838 + -181. Let f = -19.838 + h. What is the fourth biggest value in 1, 1\/12, 1\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r*r**2)\/r)\/r*r**(-6\/17))\/(r**(-1\/3)\/(r\/r**6)) assuming r is positive.\nAnswer: r**(-154\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2329*j**3*y**2 + j**3*y - 2*j**3 - 45*j**2*y + 22*j + 2*y**2 wrt j?\nAnswer: -13974*y**2 + 6*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y**3 - 21*y - 3. Let u(t) = -10 + 249*t**3 - 276*t**3 + 2 - 63*t. Let w(z) = 8*b(z) - 3*u(z). What is the second derivative of w(d) wrt d?\nAnswer: 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14174673751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, p: 1, q: 1, w: 3}. Give prob of sequence pww.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-5\/3)*x)**(-29)*(x**(6\/7))**39)**(1\/42) assuming x is positive.\nAnswer: x**(-55\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169*j**5 + 894*j**4 - 136308*j**2?\nAnswer: -10140*j**2 + 21456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 - v**2)*(-32*v + 0*v + 2*v)*(3*v**2 - 4*v**2 - v**2).\nAnswer: -60*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75, 108, 157, 216, 279, 340?\n\"Answer: -m**3 + 14*m**2 - 2*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000161822 to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-4)*w**(-2\/3) assuming w is positive.\nAnswer: w**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 6 + (-10 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-3)\/(-30)). Let f(q) be the second derivative of q**5\/20 + 5*q**4\/12 + q**3\/3 + 7*q**2\/2 - 154*q. Calculate f(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Suppose 5*b - 42 = -v, -4*b + y = -3*b + 2*v. What is the units digit of 102\/b + (-1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*u - 9. Suppose 5*p + u = 6*p. Let c be 4 - (-6)\/(6 - p). Solve 5*m + 10 + c = 2*w, -w = -3*m - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**3 - 13*z**2 + 5. Let d(p) = 7*p**3 - 12*p**2 + 6. Let c(y) = -3*y**3 - 4*y**2 - y - 5. Let l be c(-2). What is l*d(w) - 6*u(w)?\nAnswer: -w**3 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(192) + -1) + 6*((sqrt(192) - (sqrt(192) + (-3 + sqrt(192) - sqrt(192))) - sqrt(192)) + sqrt(192) + sqrt(192)) + -3)**2*4.\nAnswer: 6656*sqrt(3) + 49828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*w**3 + 10223209*w + 59973157 wrt w?\nAnswer: -9*w**2 + 10223209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0*j - 9*j - 1 + 3*j + j + 628*j**2. Is q(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p + 348. Calculate c(-36).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0.23 (b) 0.4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20729 (base 15) to base 16\nAnswer: -191d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1844 - -1843.999998837. What is s rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -18*k + 21\/2*k**2 - 1 + 5*k**3. Factor x(i).\nAnswer: 3*(i + 2)*(5*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101316?\nAnswer: 2, 3, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*h + 35 + 7, 3*h - t = 28. Suppose -4*y = 5*m - 34, 2*y - h = -3*m + 5. What is the smallest common multiple of y and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/30 + 96\/45. What is the highest common factor of 18 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 52, 0, -1028 in descending order.\nAnswer: 52, 5, 0, -1, -1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3a88 (base 16) to base 4\nAnswer: -3222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5 - 102*q**4 + 896*q**3 - 2768*q**2 + 3744*q - 1888 = 0.\nAnswer: -59, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106 + 2482?\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 8:42 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -176 and 2792?\nAnswer: -491392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 707.67 - 678.8. Let d = q + -29. Let b = 0.03 + d. Put b, 0.4, -1 in increasing order.\nAnswer: -1, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*14\/126)\/(44\/297*-21).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 20907.16 meters?\nAnswer: 20907160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -53171 (base 8) to base 6\nAnswer: -250253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.49 in -13\/2, 3, -0.2, -6.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t\/t**(1\/4)))\/t)*t*t**(-14)\/t)**(-48) assuming t is positive.\nAnswer: t**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -810*m*q**2*r**3 - m*q*r**3 + 541*q**2*r**3 - 126*r wrt m?\nAnswer: -810*q**2*r**3 - q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebbeeeebetbpbtbbt. Give prob of picking 1 b, 1 t, and 1 p.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (3 - (6 - 3) - 3). Let o(d) be the first derivative of d - 1\/4*d**4 + 2 + f*d**3 + 0*d**2. What is the derivative of o(m) wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -9. Let m be 28\/i*-1 - 1. Factor m*n**2 - 4\/5 + 2\/5*n.\nAnswer: 2*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -3\/7, 5, -34, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3350 + 3796*m + 3*m**3 - 845*m - 3338.\nAnswer: 3*m**3 + 2951*m + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3007 and 388.\nAnswer: 12028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 17 = 4*s, 100*s - d - 7 = 98*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 188108.69 from 13579.\nAnswer: -174529.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 3681195?\nAnswer: 18405975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1240 and 6296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -33.625 + 2.1\nAnswer: -31.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:13 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 832. Let q = -6 - -10. Suppose -s = -q*y - 4*v, 0 = y - v - 13 - 29. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1 (c) -82 (d) 58 (e) -0.9 (f) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 14*b - 102. Suppose 60*f - 63*f = -93. What is the hundreds digit of m(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 2\/5, -1, -10.3203?\nAnswer: -10.3203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*r - 0*a + 8, -2*r - 2*a + 12 = 0. Solve -5*w + 9 = -r*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -66106 from 0.026.\nAnswer: 66106.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (312*x**4 + 264*x**4 - 31*x**4)*(-2 + 1 + 3) + 3*x**4 - 4*x**4 - 3*x**4 as h + m*x + g*x**2 + v*x**3 + n*x**4 and give n.\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 456256.7 micrograms?\nAnswer: 0.4562567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8*9\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + -4*(sqrt(2736) + 1) - (-3 + 5*sqrt(2736)*-2)) + -5)**2.\nAnswer: -432*sqrt(19) + 98505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -59*o - 2242. Let r be m(-38). Which is the nearest to 149? (a) r (b) -2\/5 (c) -0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82359\/16 - 5144. Let h = 1369\/18 - 410\/9. Find the common denominator of g and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.17 and -32811.\nAnswer: -32810.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-10 - 0 - ((28 - 6) + -17)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 23*f + 53*f - 11*f + 5*f.\nAnswer: 77*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:05 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g + 1. Let b(d) = -7*d**2 + d - 2. Let m(a) = -b(a) - 6*z(a). Give m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-36)\/32)*-57. Let w = d - 22. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22727928.7 rounded to the nearest one hundred thousand?\nAnswer: -22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 8:44 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-7)*((-45)\/(-9))\/(-10).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)*z**(-15))**(2\/69) assuming z is positive.\nAnswer: z**(-16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/23, -2, -0.4, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1438986 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 9:46 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2 - 4. Let u be (-1)\/(-4) + 1707\/36. Let f = u - 48. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68494361 and 7465?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3*h + 0*h)*(1 - 4 + 1) + (-18 + 23 + 30)*(1 - 5 + 5)*(-h + 0 + 0).\nAnswer: -31*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14163821*v**3 + 1504197*v**2 wrt v?\nAnswer: -84982926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -14 - (-11 + -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 419699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80517 or 3\/4?\nAnswer: -80517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 13 (c) 2 (d) -2 (e) 1 (f) 3703\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 26*m**2 + 5*m + 47. Is k(-27) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1574 - 1574.5. What is the third smallest value in 3, t, 0.075?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (70\/10 - 8)\/(1\/(-4)). Solve b*t + 3 = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222680 divided by -8?\nAnswer: -27835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2775.308 days?\nAnswer: 66607.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*k - 3. Sort -4\/3, -1\/9, k, 2 in descending order.\nAnswer: 2, -1\/9, -4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 - 17*p**2 + 19*p**2 - 9.\nAnswer: 2*p**2 - 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 19 = -5*i, -4*l - 2*i + 2 = -12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-3)\/o)\/o))\/o*o)**(-17\/2)*o**(-11)*o*o**(10\/7) assuming o is positive.\nAnswer: o**(-417\/7)","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 {u: 1, g: 2, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000060653875 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34756926331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27935003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4985 less than -10384564507?\nAnswer: -10384564505.5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86106087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by 3.\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 2541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/30)\/(-9)*(-15)\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 + -2266418.\nAnswer: -2266403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2042, 2060, 2088, 2132, 2198, 2292, 2420?\nAnswer: 2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10487 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -690307\nAnswer: 9664298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.811995 rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1783.85903 to the nearest integer.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1026536320 + -3?\nAnswer: -1026536323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/21)\/(-30*12\/378)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -2\/5, -0.022?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61.93 + 62.13. What is the closest to -5 in -1, q, -0.012?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 1446948495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17610 - -17?\nAnswer: 17627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 321583 + 165*c**2 - 500*c - 160772 - 160391.\nAnswer: -5*(c - 3)*(c - 2)**2*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0 (c) -1\/54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/6 + b**3\/6 + b**2\/2 + 13*b. Suppose -j - p + 10 = -5*p, -4*j + p + 10 = 0. Give r(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365626 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w**2 - 3*w - 3. Let d be u(-1). Calculate the remainder when 85 is divided by (-134)\/d - (-3 + 2)\/(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vssggvsvvvsv. What is prob of sequence ggsv?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 4*r + 4. Let q(m) = 3*m + 3. Let d(o) = o + 1. Let s(n) = 5*d(n) - 2*q(n). What is -c(f) - 5*s(f)?\nAnswer: -2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-315)\/140)\/((-6)\/(-16)). Suppose 5*k - 3*x = -23, -35 = 5*k + x + 4. Which is bigger: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y - 7 = 2*p, -y - 23 = -2*p. Calculate the remainder when p is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r. Suppose 5 = -2*b - 3*b. Let j(f) = 6*f**3 + 2*f. Let a(c) = b*j(c) + 5*m(c). What is the second derivative of a(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 67. Let x(d) = 9*d**2 + 102*d - 11. Give h(x(i)).\nAnswer: 27*i**2 + 306*i - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004696922 - -87.25?\nAnswer: 3004697009.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1057*a + 15860. Determine o(-11).\nAnswer: 4233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -157, -359, -641, -1003?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -735*u**5 - u**2 - 17*u - 2*u**4 + 759*u**5 - 2*u**2 + 2*u**2 wrt u?\nAnswer: 1440*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -533*k**4\/4 - k**2 - 14*k - 3017. What is the second derivative of t(s) wrt s?\nAnswer: -3198*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -8) + -1 + (-1 - 6 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 13 = o, -2*o = -t - 16 - 5. Let x(y) = -y - 2. Let a be x(o). Let q be (-18)\/9 - a\/2. Solve 6 = q*l - 0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27 - 26)\/(1 - (-6)\/(-4)). Suppose h - 5 = -2. Let y = -1 + 0.6. Which is the closest to t? (a) 2 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 1\/12*k**4 + 0*k**6 + 0 + 0*k**3 - 3*k**2 + 0*k**5 + 1\/210*k**7 + 0*k. Find the second derivative of s(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 (base 9) in base 3?\nAnswer: 2021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 34*n - 31. Let m(c) = -20*c + 16. What is 3*l(z) + 5*m(z)?\nAnswer: 2*z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/4*6180\/45 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -397 and 1231014.\nAnswer: -488712558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26935 is divided by 1283?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68.2 + -10.2. Let p = d - 58.0069. What is p rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v*v**(-8)*v*v))\/v)**(-1\/10))**(-14\/3))**12)**(3\/2) assuming v is positive.\nAnswer: v**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*k = -59*k + 15 + 53 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a\/a**(7\/6))*a)\/a*a**(-3\/17) assuming a is positive.\nAnswer: a**(305\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 <= -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39439.57 and 470.84.\nAnswer: 39910.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 6 + 6 + (r**2 - 2*r**2 + 0*r**2)*(1 + 1 + 0) - r**2 + 0*r + 0*r)*(4 - 10 - 16)*(4*r - 5*r - r)*(4*r**2 - 3*r**2 - 5*r**2).\nAnswer: 1056*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -218, -327, -436, -545, -654?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02 and -98719159.\nAnswer: -98719158.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42633794953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34375 - -34374. Suppose -2*s + 15 = -5*s. Sort 11, s, t, 5.\nAnswer: s, t, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12547, 25095, 37641, 50185?\n\"Answer: -b**2 + 12551*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 10*h - 17. Let b = 49 + -56. Let y be g(b). Let o(j) = -2*j - 4*j**3 + 4*j**3 + j**3 + 2 - y*j**2 + j. Determine o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s + 82600 = 74*s. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*d = 85*d + 122*d - 1862 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.58327 millimeters in centimeters?\nAnswer: 0.958327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7179567 - 1518?\nAnswer: -7181085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u - 0*u + l, 0 = -4*l. Find the first derivative of -11 + 2 + 5 - u*y**3 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 17*z**2 + 18*z - 364. Let h be x(17). Let j be (10 - h\/(-10)) + -4. Factor 0*i + 0 + 1\/5*i**4 - 1\/5*i**2 + j*i**5 - 1\/5*i**3.\nAnswer: i**2*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41447504 - -5?\nAnswer: 41447511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 93 + -2 + 2 + 0. Suppose h = -5*t + 8*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = -4*x + 40. Suppose -122 - x = -6*q. Let g = q - 34. Calculate the remainder when 101 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5592 or 296428\/53?\nAnswer: 5592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gngggngggnnnngngggg. What is prob of picking 1 n and 1 g?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from {f: 1, q: 4, u: 1, n: 4, g: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13200656 (base 7) in base 6?\nAnswer: 41535515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y. Let x(i) = -5*i. Let j(q) = -6*k(q) + 5*x(q). Let n(z) = -231*z + 1. What is n(j(o))?\nAnswer: 231*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*q - 160*q - 6*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.8125 + 0.7605. Let x = w - -0.052. Which is the third smallest value? (a) -0.4 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:44 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 4*w. Let p(y) = 11. Let z(s) = 3*s - 57. Let v(f) = -5*p(f) - z(f). What is v(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-868)\/93)\/((-2)\/3). Is (3 + -5062)\/(7\/i*-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -375.256 and 179.\nAnswer: -196.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 16 = -7*u + 3*u, 2*u + 14 = 3*d. Let j be 18\/d*(-13 - -15). Is 19 a factor of j - 7 - (-28 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - r = 0, -9 = -2*p + 3*r - 1. Solve -10*y = -11*y + p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 23*z**2 + 78*z + 11. Let y be g(-4). Which is the nearest to 301? (a) -1\/4 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 605 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + (-4 - -3))\/(-2). Let u be (-9)\/((-2)\/2)*-1. Let m = d - u. Solve m*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = -3. Is d\/(-24) + 773\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 36001*y - 1035. Is g(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 - (6 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/161 + -312\/805. Let b = 0.3 + -0.36. Which is bigger: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 7*r**6\/15 - 2*r**3\/3 + 10*r. What is the second derivative of d(s) wrt s?\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*(m*m\/(m*(m\/m**(1\/2))\/m)*m)\/m)))\/m)**37\/((m\/(m\/m**0))\/(m\/(m\/(m*m**2))))*((m*m*m\/(m\/(m\/(m\/m**(3\/5)))))**(9\/7))**(2\/75) assuming m is positive.\nAnswer: m**(102531\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/12)\/(((-7)\/(-16))\/(-7)). Solve -q - b = -0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2984 + 0.282. What is z rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by -2.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - -26 - -36 - -31 - -38?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**3 - 69255*n + 4435387 wrt n?\nAnswer: -6*n**2 - 69255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p**2 - 4*p. Let q be y(-3). Let x = -25 - q. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 13. Let a(d) = d**2 + 5*d + 6. Let t be a(-5). Let h be t\/1 + -2 + 1. Put h, n, -3 in descending order.\nAnswer: h, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -0.9. Let m(n) = n**2 + 6*n. Let v be m(-6). What is the nearest to v in -5, 2\/13, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25899.3068 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2530*p - 13. Is r(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 + 36)\/(84\/77) + 6\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 + 82759*n\/3 + 13793\/3 = 0. What is n?\nAnswer: -13793, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4034*l - 68564. Calculate h(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - 9. Let g = k + 27.999919. What is g rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79962 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1478 = 27*f + 20*f - 545 + 2 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 73*r**2 - 734*r + 33. What is v(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/221 and -15\/91.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*x**3 + 23*x**3 + 21*x**3 + (x + 2*x**3 - x)*(7 + 6 - 1)*(0 + 0 - 1).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32508 and 504?\nAnswer: 65016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82266298417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**6\/6 - x**5\/5 + 58*x**3\/3 - x**2 + 33. Find the third derivative of l(y) wrt y.\nAnswer: -60*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 7, c: 1, k: 7}. Give prob of sequence eke.\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -131 in increasing order.\nAnswer: -131, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185581383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i*k*n*x + 3*i*k*n + 2*i*k*x**2 - 2*i*k + i*n*x**2 + 272*i*x**2 + 2*i*x - 3*k*n*x**2 - 19*n wrt x?\nAnswer: 4*i*k + 2*i*n + 544*i - 6*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 0, 1035, 0.057?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from gzgyyzmezgmgzz?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 11. Let t(y) = y**3 + 5*y**2 - 3*y - 6. Is 6 a factor of t(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c - 2*k - 14, 4*c = 3*k - 28. Which is smaller: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5239 is divided by 80?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*n - 4*n, -4*m = -2*n - 6. Let b(k) be the first derivative of 2*k - 3\/2*k**2 + 25 - 1\/3*k**3. Calculate b(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24a + -315?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 644*0.5.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 48 = 3*r - 13, 15 = -2*g - 5*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r + 1. Let z be l(2). Suppose f + 1935 = c, 5784 = 2*f - z*f - 4*c. Let s = f + 11555\/6. Find the common denominator of -24\/7 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 54. Let n(s) = -1. What is -m(o) + n(o)?\nAnswer: o + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, a: 3}. What is prob of sequence zaaz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18986? (a) -0.107 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4593 + -2400. Suppose -l - 5 = 0, -o = -13*i + 9*i + l. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*g, 5*g = 29*t - 26*t - 29. Let k(w) be the second derivative of 1\/2*w**t - 5*w + 0*w**2 + 1\/8*w**4 - 9\/40*w**5 + 0. Factor k(a).\nAnswer: -3*a*(a - 1)*(3*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52844 - -25542. Let x = 78345.059 - f. Let q = x - -41. What is q rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10263 and 737913?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193907 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/4 - 407*f**3\/6 - 1171*f**2\/2 - 5377*f. Differentiate h(p) wrt p.\nAnswer: -6*p - 407","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30 from 403527.623.\nAnswer: 403497.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 12048.55 micrometers?\nAnswer: 0.00001204855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2938a + 31?\nAnswer: -29359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458a90 (base 13) in base 6?\nAnswer: 55150400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + -95. Suppose -3*u - 3*l = -6, -11*u + q*u + 18 = l. Solve u*i - 34 = -3*b - i, 3*i - 6 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32 - (-2 + 6\/2). Let s = r - -1. Suppose h - s = x + 13, 3*x - 3 = 0. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, 2, 5\/9, 0.1?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.43806312 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 - 16*j**2 - 4*j**3 - 5*j**3.\nAnswer: -2*j**3 - 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a**3 + 3*a**2 - 2. Let i(z) = -28*z**3 + 10*z**2 - 6. Let q(p) = -10*g(p) + 3*i(p). Let m(t) = -5*t**3 - 2. Determine 3*m(n) + 2*q(n).\nAnswer: -3*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utuwuwuwwwwlwwutluu. What is prob of picking 2 t?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2638 - 773 = -9*v. Let w = 94 + v. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24258531.\nAnswer: 3, 11, 735107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003463 to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 9\/72179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 26\/37231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 6*m**2 - 13*m - 16. Calculate b(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1416 or 1346?\nAnswer: 1346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7851633?\nAnswer: 3, 2617211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/((n*n**(-4\/11))\/n)*n*n)*n**(5\/7))\/(((n**(1\/2)*n*n*n)\/n)\/n**(-2)) assuming n is positive.\nAnswer: n**(-793\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by (-11 + 5)\/(-6)*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 353*b + 44. Let i be c(5). Suppose -i = 5*h - 14*h. List the prime factors of h.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) - (sqrt(210) + 1*(-2*sqrt(210) + sqrt(210))))\/sqrt(5)*-5)\/((sqrt(294) - (sqrt(294) - (sqrt(294) + 2*sqrt(294)*-4)))*-4).\nAnswer: -5*sqrt(7)\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a. Suppose a = -3*h - 4 + 10. Let y(t) = -5*t - 2. Let z(p) = -4*p - 1. Give h*y(k) - 3*z(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 1:49 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 475984*d + 476020*d + 0.\nAnswer: 36*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -88. Let v = -38 + l. What is the greatest common divisor of 60 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/(-230))\/((20\/(-90))\/(8\/12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -147*a**2 + 641*a + 1294. What is w(-2)?\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 - 6*x + 7. Let q(l) = 11*l**2 - 17*l + 18. Let t(m) = -8*j(m) + 3*q(m). Determine t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**3\/3 + 9*y**2\/2 - 2*y + 3. Let d be p(-9). What are the prime factors of 48\/21 + d\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -4 - (3 - (2 + 6)) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + o**4 - o**4)*((-2 - 2 + 3)*(4 + 1 - 2) - 4 + 4 + 19 + 2 + 1 - 5 - 3 + 7 - 3 + (5 - 3 - 3)*(-2 + 0 + 0)).\nAnswer: -34*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 15, -5, -547, -3 in descending order.\nAnswer: 15, 6, 2, -3, -5, -547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 1815 = 18*c. Round c to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + -11 + (21 - 13) - -38?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = l + 5, 30 = 4*y + 2*l. Let r(o) = 16*o - 12. Let s(g) = -5*g + 4. Let z(a) = 3*r(a) + 10*s(a). Determine z(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 456.4 and -0.03.\nAnswer: -13.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0165 times 39?\nAnswer: -0.6435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 136730879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Let b(d) = -v + 3*d - 2*d - 5*d + d**2. Determine b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p - 5*s + 2671, s = 2. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 72. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/16))**(-32)*(g**(-2)\/g)\/g*g*g**10)**(-6\/19) assuming g is positive.\nAnswer: g**(-54\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 3*p + 4. Let w be g(4). Let u = w + 15. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79a + -d?\nAnswer: 78d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-15)\/6 - -1). Let h = v - -4. Suppose 11*z - 125 = h*z. Calculate the remainder when 99 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let h be -4 + 90\/24 + 903\/60. Let b = 71\/5 - h. What is the third biggest value in x, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 567, 846?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 0*p - 2*p + 39 + 0 + 6*p. Let t be i(-9). Solve -w + 10 = t*f - 2, 3*f = 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -378.0896365 + 368.68966. Let w = d + 9.4. What is w rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2452)\/(-52) - (-8)\/(-52). Suppose 0 = -m + 3*b - 4 + 1, -5*b = 3*m - l. What is the remainder when 32 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 369\/17 + -110981\/5185. Let m = 6\/61 + p. Suppose -4\/5 + 2\/5*l**2 - m*l = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40600000 to the nearest one million.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 18*g + 12 + (3 - 2 - 3)*(-2 + 2*g + 2))*(0 + 2 - 5).\nAnswer: 66*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17823270 is divided by 201?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6273 divided by -6273.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 - 105. Factor 12 - n*j - 2*j**3 + 25*j**2 + 7*j**3 + 8 + 0*j**3 + 49*j.\nAnswer: 5*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + d + 6, 5*o + 10 = d + 4*d. Let v be 2 + (o - 4) - -3. Let u(c) = 2*c - 3*c + c**v - c**2 - 1 + 0*c**3 - 9*c**3. Determine u(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 7*o**2 - 8*o + 10. Suppose 5*h - 3*n - 12 = 0, -2*h + 5*h = 4*n + 16. Suppose h = -8*u + 4*u + 32. Determine y(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 4) + -19 + (8 + 2 - (74 - 5)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12793.1490024 + 12785.149. Let u = -7 - -15. Let q = u + h. Round q to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29423 - 19772. Let o = x - 9651.9997. Let a = 1 + o. Round a to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/24 and 40\/10659.\nAnswer: 85272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:56 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:30 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 3*b - 2. Let a be s(-2). Let r be ((-1)\/1*1)\/4. Which is greater: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1054\/(-155))\/34)\/(((-2)\/2)\/(-7)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*l + 379447, r + 569160 = 4*r - l. Let j = r - -100281. Round j to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 711 + 320 + 560 - 442 + 2210 as h + w*i and give h.\nAnswer: 3359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15770.4 years in centuries?\nAnswer: 157.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 105\/(-12)*(-6)\/(-42)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 48. Suppose 5*o = -3*k + 61, -4*k + 0*o - o = -53. Calculate the highest common factor of i and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2856*u**3 - 22*u**2 + 2*u - 19 wrt u.\nAnswer: -17136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -75334946*0.4\nAnswer: -30133978.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 450398*t - 4105478 wrt t.\nAnswer: 450398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2150*o*w**3*x**3 - 2*o*w**2*x**2 + o*w**2 + 17*o*w*x**3 + 3*w**5*x**3 + x**3 wrt w.\nAnswer: -12900*o*x**3 + 180*w**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121197, 242390, 363581, 484770?\nAnswer: 605957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 5*x + 2. Let a be z(-4). Let h be (2\/a)\/((-3)\/(-36)). Suppose 3*k - h = 2. Solve -k*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.2 + 0.2. Let w = -56 - -96. Let f = w + -118\/3. Which is the closest to -0.2? (a) -2\/9 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8*x = 0. Suppose -4*q + 90 = p, x = 4*p - 9*p - 2*q + 540. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x = 82*x - 131 + 689 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8612.7 rounded to the nearest one hundred?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from {v: 2, j: 4, n: 7, e: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-217)\/(-14))\/(-31)*-4*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/74*(-140)\/175?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsacncjsscj. What is prob of sequence jsb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5 - 610*y**4 + 74*y**3 + 22738*y**2 + 51240*y = 0.\nAnswer: -305, -4, -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 162 = 102 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 11:18 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -120 (c) -1\/5 (d) 1\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02187602 rounded to 5 decimal places?\nAnswer: 0.02188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**3\/z)**(-45)*z*z\/z**(2\/5)*z**(4\/5) assuming z is positive.\nAnswer: z**(-663\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/10)\/(16\/(-680)). Suppose -2*q + a = -1. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10389 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 156467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2041364 is divided by 1403.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from zaxkpii?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952.024l to millilitres.\nAnswer: 952024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5 and -63\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 6 = 15*k. Solve -m = k + 3, 25 = -3*w - 5*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 4*n - 10. Let o be b(2). Let c be (-4)\/o - (-11)\/(-9). Sort -2, 0, c in descending order.\nAnswer: 0, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 2133, 7200, 17061, 33312, 57549, 91368, 136365?\nAnswer: 194136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*c**3 + 0*c**3 + 0*c**3 - 3*c**2 + 2*c**3 + 3*c**2 + 0*c**3 + 2*c**3 - c**3 + (3*c + 3*c - 5*c)*(0 + 0 - 2*c**2) + 0*c - 2*c**3 + 0*c.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145164761.\nAnswer: 7, 317, 65419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7)*2 - sqrt(7)) + (sqrt(38)\/sqrt(2) + sqrt(19) + sqrt(19))*-2 + (-1 + sqrt(931))*1)**2 + -4.\nAnswer: -4*sqrt(19) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24220 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*39\/(-13)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j - 25 = 0. Suppose -3*f + 174 = j*w, 0 = -4*w + 2*f + 150 - 24. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 2204, 21, 4, 5.\nAnswer: 0, 3, 4, 5, 21, 2204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*(-5)\/(-140)*6*42\/(-36).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2294)\/8436 + 6\/57 - (-2)\/60?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39779419, -39779420, -39779421, -39779422, -39779423?\n\"Answer: -h - 39779418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u + 79 - 9 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u + 44 = -4*n, 34 = 2*u + n. Let r(z) = 20*z + 107. List the prime factors of r(u).\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + u + 1. Let v(g) be the third derivative of -g**5\/12 - g**4\/8 + 2*g**3\/3 - g**2. Let r(b) = -3*m(b) - v(b). List the prime factors of r(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 840215.4 decades?\nAnswer: 8402.154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.509 + -2.491. Put h, 0.5, -0.15 in decreasing order.\nAnswer: 0.5, -0.15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -7 + 16*b - 2\/21*b**4 + 1\/7*b**2 - 1\/7*b**3. Let n(q) be the first derivative of r(q). Solve n(i) = 0 for i.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*z + 0*z - 1)*(z**3 + z**2 - z**2) - 3*z**4 + 4*z**4 + z**4 + (-1 + 5 - 5)*(-3*z + z**4 + 3*z) + 2*z**4 + 3*z**3 - 3*z**3.\nAnswer: 5*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(108)\/sqrt(324))*-1.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589 + 6*i**3 - i**3 + 589.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -527 + 910. Let r = 379.69905 - -0.87095. Let k = u - r. What is k rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2655 and 389?\nAnswer: -1032795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1092897\/35 + 31230. Do a and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*o**2 + 5*o**2 + 22*o**2 - 134*o**2 + 2*o**2 + 27*o**2.\nAnswer: -35*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 12. Suppose 2*u + 9 = 5*a, 2*a - 2*u = -s*u. What is the remainder when 14 is divided by ((-20)\/(-8) - a)*-16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smssmymsysm. Give prob of picking 2 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158016 + 158016 - 94*s.\nAnswer: -94*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 - 110. Suppose -l*d = -3*z - 198, 92 = d + 17*z - 15*z. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/15)\/((-804)\/3216)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**3\/7 + 6*l**2\/7 + 9*l\/7 - 18. Suppose j(h) = 0. Calculate h.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 7*b = -23, -11*c - 163 - 30 = -8*b + 5*b + 40 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11766 - 12.11766. Which is the nearest to 0? (a) o (b) 3\/2 (c) 34 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -118.54 (b) 1\/10 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 846 and 4843773.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29254*i + 10867*i - 15011*i - 8268*i to the form r*i + b and give r.\nAnswer: -41666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83343730*b**2*p - 46886*b*p + 7*b + 1 wrt b.\nAnswer: -166687460*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 + 226. Suppose -3*f - 18 = -6*f. Let o(a) = -2 + a**2 + 2 - f*a. Let r(i) = i**2 - 5*i. What is n*r(l) - 5*o(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3))**39)**48\/((t\/(t\/(t*t\/(t*t**(-2\/5)))))**(-5)*t**0*(t*t*t\/((t*t\/(t*t*t**(-5)))\/t)*t)\/t) assuming t is positive.\nAnswer: t**1256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.093 - 19.5. Let r = 0.077 + k. Let j = r - 0.24. Round j to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by -15164.\nAnswer: 43\/3791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i - 2*i - 2*i)*(-i - 26 + 26) - 2*i**2 - 2*i**2 + i**2)*(-1 - 2*i**2 + 1).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1245 and 71805?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6306*u - 7620 = -5798*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 2\/((-5 + 6)\/(4\/1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 + 127 = 27*t + 214 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1680, 3330, 4984, 6642, 8304, 9970, 11640?\n\"Answer: 2*g**2 + 1644*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1152 by 1.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 101.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -50, -51, -52, -53?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3736 - -3740. Let o be ((0 - -1)\/1)\/1. Let l = 949\/1410 - 3\/470. What is the nearest to l in -0.2, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 9. Let r be g(14). Suppose -5*a + 117 = r*t - t, -5*t - 2*a + 159 = 0. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19230208 divided by 46.\nAnswer: 418048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14887215 and 4?\nAnswer: 59548860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 26*b - 13. Is 4 a factor of m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5830, 11656, 17482?\n\"Answer: 5826*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15359609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v**3 - v**2 - v + 1. Let x(g) = -7*g**2 - 4. Let z be x(-3). Let m = z + 68. What is a(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -5 (c) 16 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0825 or 53\/92?\nAnswer: 0.0825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42500559329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-294)\/(10\/(80\/(-12))) is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 4. Let m(f) = -3*f**3 + 51*f**2 - 64*f + 1091. Let q be m(17). Let a(x) = -x - 5. What is q*k(g) - 4*a(g)?\nAnswer: g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*l + 5, 0 = -3*m - 5*l - 5. What is the nearest to -2 in 0.4, 1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (sqrt(1700) - ((sqrt(1700)*2*6)**2 + sqrt(1700) + sqrt(1700))) + sqrt(1700)).\nAnswer: 979188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {u: 1, w: 4, z: 3, o: 1, g: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*j**3 - j**2 + 5)*(7 - 2 - 2 + (-2 - 3 + 4)*(-2 + 2 + 4) - 3 - 3 + 5) + 0*j**3 + 3*j**3 + 0*j**3.\nAnswer: -3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 15*j - 32. Let i be c(-12). Round i to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1553055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/4 - 2*a**3\/3 + 5*a**2\/2 + 4*a. Is u(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265987173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let w = 329 - 324. Which is the closest to z? (a) -1\/5 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 8. Let c(w) = -1. Let u(p) = -2*p + 3. Let t(q) = q - 2. Let b(r) = -9*t(r) - 4*u(r). Let v be b(-2). Determine v*c(f) + k(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6163 + -2792. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 16 + 4 = 0. Let c be 4\/l*-3*2. Find the second derivative of -r - r + c*r**5 - 2*r + r wrt r.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1243, -1358, 4, -1 in descending order.\nAnswer: 1243, 4, -1, -1358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = 20, -p + 205 = c. Let u = p - 300. Let o = 133 + u. What is the least common multiple of o and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.46123 tonnes to nanograms.\nAnswer: 27461230000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49, -147, -247, -349, -453, -559?\n\"Answer: -o**2 - 95*o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 1, s: 3, i: 1, y: 1}. What is prob of sequence zs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3014*y - 50 = -3024*y. Which is the smallest value? (a) -21 (b) -1\/4 (c) 3 (d) 2 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(1\/4)))**(-8\/7)\/(u\/u**(-1)*u*u)**36 assuming u is positive.\nAnswer: u**(-1018\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1929 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 + 5*p - 5504. What is v(35)?\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2. Let x(w) be the second derivative of w**4\/6 - 6*w. Calculate c(x(z)).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-11 + 9 - 17)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1045*161\nAnswer: 168245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 - 18*h**2 + 11*h - 8. Let r be s(4). Which is the closest to r? (a) -2\/9 (b) 4 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -349 or -351?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -8, 1\/4, 0 in ascending order.\nAnswer: -8, 0, 1\/6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33245 is divided by 147?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*(32 - 11). Suppose -p - 1 = -4*q, 3*q + 2*p + 2 = f*q. Factor -t**2 - t + 181*t**3 + 1 - 180*t**3 + q.\nAnswer: (t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10\/11))**(-46) assuming x is positive.\nAnswer: x**(460\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:53 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**2 - 3*k - 1. Let j(s) = -8*s**2 + 4*s + 2. Suppose -6*c - 2*y = -7*c - 1, -2*c - y + 8 = 0. What is c*j(r) + 4*p(r)?\nAnswer: 4*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**5 + a**5 + 2*a**5)*(14 + 1 - 2).\nAnswer: -13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = 0, 2*t = -2*d - 2095 + 5633. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3\/4 - 55514*t**2 + 399755*t\/4 + 843847\/2 = 0. Calculate t.\nAnswer: -44413, -2, 19\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**4 - 24*f**3 + 384*f**2 - 1664*f - 474. Factor b(j).\nAnswer: -4*(j - 4)**2*(j + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*t = 2*i - 145, 0 = -2*t + 6. Calculate the highest common factor of 40 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 849*b. Let c(o) = o**2 - 85*o. Determine h(c(t)).\nAnswer: 849*t**2 - 72165*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/9)\/i*i*i*i**(-4\/9) assuming i is positive.\nAnswer: i**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 81*o - 1. Let s be g(1). Suppose -n + 3*x + 122 = -s, 4*n - 856 = -4*x. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1524*n**5 - 3*n**2 - 126*n wrt n.\nAnswer: 91440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14*1*6*(-7)\/36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7f3e (base 16) to base 11\nAnswer: -22523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180 + 62. Let r = n + 109. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - -1*sqrt(1331))*-3 + 1*(sqrt(1331) + -2) + (-2*(0 + (sqrt(1331)*-3 - sqrt(1331)) + sqrt(1331) + sqrt(1331)))**2.\nAnswer: -55*sqrt(11) + 21294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 13*r + 6. Let v be g(-13). Suppose -4*n = -v*l + 2*l + 12, 0 = -4*l - 4*n + 4. Solve 2*a = z - l - 1, -a = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7504, 14913, 22202, 29371, 36420?\nAnswer: 43349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -4.51143\nAnswer: -0.2706858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:22 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50027883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 98*i**2 - 81*i - 83. Calculate the least common multiple of 48 and j(-1).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 243656.6 millilitres?\nAnswer: 243.6566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/(g\/g**(-2\/3)*g))\/(g**4\/(g**(1\/2)\/g))*(g\/(g*g**(-2\/7)*g*g))**9\/(g**0)**4 assuming g is positive.\nAnswer: g**(-1075\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -64. Suppose 0 = d*o - 14*o - 1739. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 8*l**2 + 12. Let a be c(-6). Let w = -85 - a. Calculate the common denominator of w and 25\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1539 * 0.1.\nAnswer: 0.11539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692817.\nAnswer: 3, 230939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1088 and 59\/1360.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + s)*(-9*s**2 + 7 - 7) + 0*s + 0*s - 3*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*3*-98*(-66)\/(-120). Let t = m - -323. Which is the biggest value? (a) t (b) -4\/3 (c) 2\/9 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 + -227 + 0 + 24?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*r - 94*r - 6 - 1 + 0*r**2 - 4*r**2.\nAnswer: -4*r**2 - 137*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88796315603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 701, 1397, 2087, 2771, 3449, 4121?\nAnswer: 4787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 328\/413 + -30\/59. Let 4\/7*k - 2\/7*k**2 - n = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from qqqtqqqqtqtttqqqtttt?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49034?\nAnswer: 2, 24517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/((-2)\/(-2)*1). Suppose -3*o + 97 + x = 0. Let k = -26 + o. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252 - 252.1. Which is the nearest to -56? (a) 1\/4 (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 197313, 197015, 196717?\n\"Answer: -298*l + 197611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/6 - a**3 + 2*a**2\/3 + 4*a - 16\/3.\nAnswer: (a - 4)*(a - 2)**2*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)\/(-12 - -7)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -1. Suppose -34 = -3*b + 4*b - d*m, -41 = 4*b - m. What is the smallest value in 0, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*b**6 + 188*b**6 + 3*b**5 - 3*b**5 - b**2 wrt b?\nAnswer: 3720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 44 - 88 - 75 - 87158*l + 87141*l. Give u(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f)**40 assuming f is positive.\nAnswer: f**(-320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 74\/(-185) - (-312)\/810\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from tataa?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2130 and 15247392?\nAnswer: 76236960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26288 - -0.13\nAnswer: -26287.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3639*d. Let u(n) = -20*n**2 - 2*n. Give v(u(w)).\nAnswer: 72780*w**2 + 7278*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1323\/(-12))\/9)\/((-2240)\/5120)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3242 - 1450 = 23*i. Suppose 17 + 7 = g. Calculate the smallest common multiple of (-9)\/(-6) + i\/(-8) and g.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 627726.\nAnswer: 4394082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**2 - 17*h + 17. Let d = 1 + 5. Let w(q) = -q**2 + 2*q - 2. Let j(r) = d*p(r) + 51*w(r). Let i(t) = t. Calculate j(i(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y. Let o(n) = 154184*n + 2. Calculate o(s(c)).\nAnswer: -616736*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*f - 1. Calculate the remainder when 10 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*n + 6*n - 6 = 0, 4*p - 21 = -3*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b - 4*i + 3044 = 0, -15204 = -5*b - 4*i. Round b to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 6*j = 0. Suppose 0 = -5*h - 3*x + 142, -2*x - 3*x + 20 = j. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -171 and 0.1749274477.\nAnswer: -170.8250725523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/(-14) - (0\/4 - 442).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 19*s**2 + 2*s - 1. Let l be b(1). Let m be ((-4)\/8)\/((-2)\/l). Suppose -3*n + 4*x = -22, m*n - 8 - 6 = x. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, 3, 3\/7, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 176866363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**7\/42 + 3*z**5\/20 + 9*z**2. What is the third derivative of p(x) wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 33037343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1623.04 + -1621. Which is the closest to r? (a) -3 (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 - 96*l**2 + 320*l = 0. What is l?\nAnswer: 0, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r + 1155 - 4245. Solve 98*b - 4*m + 2 = r*b, -2*m = 5*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 + 3 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195570270.\nAnswer: 2, 3, 5, 7, 61, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:29 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1431 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15838380 divided by -1583838?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-12\/5)*t)\/t**(9\/2))\/((t**(1\/8)\/t)\/(t**11*t)) assuming t is positive.\nAnswer: t**(279\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7018.005 rounded to the nearest one hundred?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -48*x**2. Let o(h) = -4*h. Determine q(o(l)).\nAnswer: -768*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**3 - 6*i**2 + 3*i + 14. Let q be j(-2). Solve -2*a + 3*y + 5 = q, -2 = 5*a + y + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/103, 610, -2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.9. Let i = 21 + -21. What is the closest to -1\/3 in d, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51920 is divided by 5165.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150.9 - -149.9. Let a = 0.1 + -0.5. What is the closest to 1\/4 in n, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -31, -54, -97, -166, -267, -406?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 58809400 to the nearest one hundred thousand.\nAnswer: 58800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*l*s*z**3 + 2*l*s*z**2 - 10*l*s*z - 1947*l*z**3 - 3*s*z**3 - 260*s*z**2 wrt z.\nAnswer: -36*l*s - 11682*l - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*s - 608 = 15*s + 446 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37620 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 4*n**2 + 6. Let r(s) = s**2 - 1. Let i = -5 - -5. Suppose -5 = a - i. What is a*r(v) - h(v)?\nAnswer: v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let r(j) be the third derivative of 83*j**4\/24 - 33*j**2. Give v(r(i)).\nAnswer: -83*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -58*p**2 - 6*p. Let a(b) = 57*b**2 + 5*b. Let l(n) = 5*a(n) + 4*k(n). Let m be l(-1). Let z = -31 + m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-2146) + 0)*-2. Let i = c + 3175\/23606. What is the common denominator of (2\/9)\/(4\/43) and i?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**14\/(z*z**21)*(z**(1\/3)*z)**(-3\/8) assuming z is positive.\nAnswer: z**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4967245 is divided by 1655748.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 79688 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -15. Suppose 0 = a*m - 5*m + 60. Is (1\/12 + (-3)\/m)*6 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 less than -84341438?\nAnswer: -84341363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)*4)\/((sqrt(81)*-3)\/sqrt(9)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 537134 = 3195450. Let u = -553146 + a. What is u rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*-5*sqrt(27))\/(sqrt(729) + (-4*sqrt(729) - sqrt(729))))**2.\nAnswer: 5*sqrt(3)\/3 + 997\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 54*n**3 + 6*n**2 + 5*n + 43. Is q(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i + 45. Let b be u(-5). Sort 7, -2, b, -1.\nAnswer: b, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 0 - 9)*(z + z - z) + (1 + 2 - 2)*(2*z - 4 + 4).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 533493.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 6*y + 5. Let s be d(6). Let u(c) = 4*c + 1. Let x be u(6). Solve -s*z + x = 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.825 - -295532153.\nAnswer: 295532156.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*h + 5*y, h = 3*h + 4*y. Solve 2*r - 4 = -h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.02 and -2.1?\nAnswer: 4.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -186509, -373010, -559511?\n\"Answer: -186501*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11340, 22648, 33956, 45264, 56572?\nAnswer: 67880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q + 18. Let c be h(-10). Let g be c*12\/(-8) + -1. Solve -g*z = -0*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*z + 9*z - 2, 3*d + 4*z - 1 = 0. Sort d, 11, -1\/3 in ascending order.\nAnswer: -1\/3, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 - -150. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 15*d. Suppose d = g + 146 - 937. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (17 - (19 + 0))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 53*k**2 - 7*k - 34. Let v be o(-3). Suppose 0 = -m + 10231 - v. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + 40. What is the tens digit of m\/21*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3510 + 416490. What is t rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n + 195. Let d(c) = 2*c - 4*c + 15 + 3*c. Let l(o) = -27*d(o) + 2*u(o). Let x(r) = -1. Let y(h) = l(h) - 15*x(h). Let m(s) = s. Determine m(y(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 1080?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 59*f + 241. Let c be q(-4). Solve -c*a + 17 = -3*i, -6*i + 13 = -9*i + 4*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u - 38 = -15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, b: 4, f: 11}. What is prob of picking 1 m, 1 f, and 2 b?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aac when three letters picked without replacement from {o: 2, c: 2, a: 2, u: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 63, 8317, 4, -6 in decreasing order.\nAnswer: 8317, 63, 5, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337 = -13*g + 230 - 413 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + 16. Let q = -54 + u. Put -1\/2, 0.4, q in increasing order.\nAnswer: q, -1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65862*c**5 - 5*c**2 + 12*c - 96 wrt c.\nAnswer: -3951720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {f: 7, i: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 102655770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54808 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3 - -5) + (-198 - -221)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**6\/120 - f**4\/12 + f**3\/6 - f**2. Let a = -11 - -13. What is the remainder when 9 is divided by z(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0*f**2 - 6*f + 0*f**3 + 0 - 1\/6*f**4. Let y(n) = 5*n. Give y(v(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/25*2\/(-21)*-3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*f + 987 + 1320, 4*t + 4*f - 3036 = 0. Suppose t = -2*u + 6*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188425 is divided by 94175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + q + 7*q - 6*q. What is the smallest common multiple of n(8) and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3*l + 9, 4*u + 15 = u + 5*l. Suppose 2*v - 4*i = 10, -2*v = -u*v + i - 15. What is the remainder when 20 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 7*f**2 + 2*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*f - 55*f - 2256 = 0. What is the highest common factor of 172 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-1) + (-5)\/5. What is the units digit of -2 + 8\/2 + o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156295 and 755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69708592 is divided by 8606?\nAnswer: 8598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 27*-2*1\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 1 - 1 + (-10*w**3 + 13*w**3 - 37*w**3)*(15*w - 15*w + 21*w**2).\nAnswer: -715*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2\/10 - 224293964*b\/5 - 25153891143416648\/5 = 0.\nAnswer: -224293964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/2 (b) -651 (c) -0.3 (d) 0.3 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 1 - (-1767 + 1818)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 3}. What is prob of picking 1 x and 1 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30461 - -2?\nAnswer: 30463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23693.21mg to micrograms.\nAnswer: 23693210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 + 140 + 179)*(-2*j - 5*j**5 + j + 3*j**5).\nAnswer: -440*j**5 - 220*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*j + 3 = -69*j + 121 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 47*c**3\/3 + c**2 - 14*c + 191. Differentiate i(b) wrt b.\nAnswer: 94*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 3*k**2 + 5*k. Let x = -536 + 1433. Let v = x + -901. Determine f(v).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**2 - 2 + 4*f**2 - 4*f**2)*(-811*f + 306*f - 332*f) in the form k*f**2 + n*f + o + r*f**3 and give n.\nAnswer: 1674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by (4\/3)\/((-44)\/(-2805)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 2*k**2 + 3*k. What is the remainder when 18 is divided by x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20395231 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:19 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u - 216 = 67*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**8\/10080 + s**7\/2520 - s**6\/240 + s**5\/20 - 10*s**2. Let f(i) be the third derivative of q(i). Calculate f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 88. Suppose u - 5*u + 5*k = 9, 3*k = u + 11. Calculate the smallest common multiple of w(9) and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by (24 + 14 - 15)*1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 17830 - 4580. Suppose -8*f + w = -1015. List the prime factors of f.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 2*a - 1. Calculate the remainder when 42 is divided by o(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299574 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 5. Suppose -4*k = c + k - 2, -3*k = -2*c - 9. Suppose -1 = -5*i + 19. Let y(u) = i - 5 + 4. Determine c*g(w) + 5*y(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(5 + (-4 - 0)). Let v be 1\/(0 + 3\/(-9)). Sort s, v, -4.\nAnswer: -4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 9. Let x(o) = -2. Let y(b) = -r(b) + 5*x(b). Let g(f) = 2. Calculate -g(l) - 2*y(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.853631321 take away 20?\nAnswer: -20.853631321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16242*f**3 + 5*f**2 - f + 48916 with respect to f.\nAnswer: 48726*f**2 + 10*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322594738 and 1004.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1323 and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17 - 9.17. Let k = -4 - w. Let q be (-1 + 2)*(-36)\/66. Which is the nearest to 0.1? (a) -3 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -167736, -335474, -503212, -670950?\n\"Answer: -167738*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 11 = w - 6*j, -3*w = -3*j - 24. Solve w*y + 7 + 3 = 2*a, 5*a - 25 = 2*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a130a (base 13) in base 5?\nAnswer: -423222441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1236 + 1225. Let t(r) = -5*r - 13. Let d(j) = 4*j + 14. Let v(h) = 4*d(h) + 3*t(h). What is the units digit of v(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 7. Let j = 5.2 + p. What is the nearest to 0 in -2\/9, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/48*-6)\/((-9)\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 5*p**2 - 5*p. Let s be j(-4). Solve 2 = 5*r + 3*k, 0 = 2*r + 2*k - s*k - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 11. Let t be g(8). Let y = -28 + t. Let h = y - -73. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.52 + -3.48. Let a = -0.24 - 0.16. What is the nearest to a in -4\/5, x, 0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 12 = -21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(-4)\/(-360))\/(46\/(-1288))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 11*k**2 + 14*k - 154. Let l = -12547 + 12558. What is x(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 317.3 * 25\nAnswer: 7932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-850)\/35 - 2\/(-7). Let v be (8 - -2)*d\/(-5). Let c = v - -71. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4, k + 4*p - 2532 = 1995. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1087 - 303. Let p be c\/133 + -6 + (-80)\/323. Which is smaller: p or 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -675*s + 4*s**2 + 553*s + 122*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/6 - 8*h**3\/9 - 5*h**2\/3 - 4*h\/3 - 4. What is p in m(p) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1.55.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*o + 12, 3*o - 4*q = -0*o + 18. Find the second derivative of 5*j**2 - 7*j**3 + j**2 - 22*j - o*j**2 wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 2 + 2 + (432 + 187 - 313)*(2*b + b - 5*b)*(-1 - 1 + 3) to h*b + v and give h.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) + 16\/((-4480)\/13384).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3745560 divided by 6?\nAnswer: -624260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5297 and 24432.3?\nAnswer: -129417893.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 + 7*l**2 - 4*l - 4. Let a(w) be the first derivative of -5*w + w**4 + 8\/3*w**3 - 5\/2*w**2 - 12. Give 4*a(i) - 5*z(i).\nAnswer: i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*o = 11, s - 4 = -3*o + 4. Let m be (s\/1 - -1) + 6. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - u = -127, 2*v - 2*u = u + 53. Let a = v - 20. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-338)\/(-1256) - (-2)\/(-8). Suppose 0 = 275*k - 25985 + 26260. Which is greater: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18463 and 4016451?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 6. Let f be l(8). Suppose 4*g + 3*v = 35, -g - v + 8 = -f. Suppose -2*w - g + 11 = 0. Solve -4*t + 3 = -2*x + 1, w*t - 19 = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73426669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*g - 3*l, 323 = 61*l + 1064 - 314 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -249.657 rounded to zero dps?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(3*y - 5*y + 3*y)*(-777 + 1085 + 298) to v + h*y and give h.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61077, 60561, 59701, 58497, 56949?\nAnswer: 55057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7439 and -6.\nAnswer: -16.4634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2994 is divided by 646.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2*p - 72432*p**2 + 72431*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*r - 8, -4*d - 3*r = -6*r + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 18, e: 2}. Give prob of sequence kkee.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -6*d - 41. Let j be (117\/12)\/((-1)\/(-4)). Calculate the greatest common divisor of j and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290481?\nAnswer: 3, 96827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*z - 6854504 = 11866066. Let m be 3703056\/(-30) - (-1)\/5. Let c = z - m. What is c rounded to the nearest 1000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 0.02.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.082 and -291.\nAnswer: 23.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-3)\/135*60\/(-20)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 31590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddxsdsddssdd. Give prob of picking 1 s and 3 d.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 8*j**2 + 18*j + 15. Let u be a(10). Let g be 2\/11 + 93\/33. Let c(s) = -4*s + g*s + 21 + 0*s - 25. Determine c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7786949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n + 2*x - 8, -6 = -2*n - 2*x. Let y(i) = i - n*i + 2*i. What is the units digit of y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Let v = -1.161 - -0.661. Which is the closest to -0.1? (a) o (b) 2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k**4 + 12*k**3 - 39*k**2 + 10*k = 0. What is k?\nAnswer: -2, 0, 5\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 2*v. Let t(z) = z. Let c(l) = -3*s(l) - 6*t(l). Let m be -1 - -24 - (-17 + 19). Let b(h) = 7*h**2 + 9*h**2 - m*h**2. Give b(c(y)).\nAnswer: -180*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 + (6 - 3). Suppose -z*r - 8 = -6*r. Suppose -r*c + 30 = 3*b, -4*c - 5*b + 2 = -32. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -20*j. Let h be v(-1). Let r(d) = 36179*d**3 - 31 - 26*d + 36178*d**3 - 72356*d**3 - 18*d**2. What is the units digit of r(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2874 and 646650?\nAnswer: 646650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6226, 12445, 18662, 24877?\nAnswer: 31090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 15. Let p be v(-11). Let i(d) = 5*d - 1 + 1 - p*d. Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211201000222 (base 3) in base 2?\nAnswer: 1001110100000101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4. Let n = -12 - -12.3. What is the second biggest value in n, c, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1345 + -0.06414\nAnswer: -1345.06414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 491\/5. Which is the closest to -3? (a) -1\/4 (b) 2 (c) 0.1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4721605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 45. Let o(h) = 6 - 3 + h**2 + 4*h - 1. Let z be o(-4). Solve 0 = -z*a - v - 7, i = -4*a + 4*v + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 0*g**4 + 0*g**3 + 195\/2*g**2 + 0*g**5 + 126 - 89\/6*g**6 + 0*g. What is the second derivative of s(w) wrt w?\nAnswer: -1780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9357 - -9356.99885064. What is t rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -488 - -491. Suppose 12*z - 10*z - 7014 = -4*n, f*n = -5*z + 17507. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6614*-0.06609.\nAnswer: -0.043711926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 2*t - 2. Let n be h(3). Put 3, n, -1 in descending order.\nAnswer: 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 23.68916nm?\nAnswer: 0.00000002368916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3607, -6983, -10393, -13855, -17387, -21007, -24733?\nAnswer: -28583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 940070 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*m + 29 - 47, 13 = 3*k - 4*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 24909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2558 - 1604. What is the least common multiple of q and 144?\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3757, 271, 2, 3 in decreasing order.\nAnswer: 3757, 271, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -12199.\nAnswer: 121.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q + 5*q**3 - 35*q + 19*q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -695*k**5 + 2*k**2*t**3 - 1399*k*t**3 + 11*t**3 wrt k.\nAnswer: -13900*k**3 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -52.67, -5.\nAnswer: -52.67, -5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64081, -128424, -192767, -257110, -321453?\nAnswer: -385796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.15041 and -0.3.\nAnswer: -0.45041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(1\/(-2)*10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k + 118692 = 118562 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y. Let v(t) be the second derivative of 2*t**3\/3 + 6*t**2 - 1847*t. What is i(v(f))?\nAnswer: -8*f - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -21. Let j(y) = -y**3 - 5*y**2 - 2*y - 6. Let r be j(-5). Let v = r + 0. Calculate the remainder when i is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-2)\/(3\/3)). Let r be (-24 + 40)*((-244)\/(-80) + -3). Let f = -0.4 + 0.2. Sort -3, t, f, r in decreasing order.\nAnswer: r, f, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 1 (c) 0.1 (d) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:24 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 23*l + 4. Let v be u(8). Let p be v\/36 - 4\/18. Let s(m) = 2*m - 6. Determine s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 74*b + 56. Let l(q) = 17*q + 14. Give -26*l(y) + 6*u(y).\nAnswer: 2*y - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 6 = -3*y, -3*y + 2*b = -5*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -632, -1027, -1444?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - -2.2. What is the second smallest value in 0, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**(-3\/11))\/y)\/((y*y\/y**12)\/y*y)*((y*y*y\/(y*((y\/(y\/(y\/(y*(y**(-22)*y*y)\/y)*y))*y*y*y)\/y)\/y))\/y)**(-31))**(-24) assuming y is positive.\nAnswer: y**(-183024\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*q - 6, -16*i - 5*q = -17*i + 3. Which is the nearest to -2\/3? (a) i (b) -2\/1505 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596\/1639*176\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 23*x + 16. Let y(n) = 140*n + 110. Calculate -20*h(l) + 3*y(l).\nAnswer: -40*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(171)*1 - sqrt(171) - sqrt(171)) + 0 - sqrt(171)) + (4 + sqrt(171) + 3 - sqrt(171))**2 + 4 + -4).\nAnswer: -294 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0678, 5, -3, -4?\nAnswer: 0.0678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = -6. Let f = -22916 + 22919. Solve -i*q - 8 = -o, 0 = 4*o - f*q - 8 + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -0.1, 3, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 376*b**3 + 84*b**3 - 6*b.\nAnswer: -292*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1.6 (b) 3\/58 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 + n**2. Suppose 0 = 2*l + 9*v - 4*v + 26, -2*v + 4 = -4*l. Let i be m(l). Let o = i + -46. Calculate the highest common factor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10780 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 4*m - 4. Let j be t(-4). Let v be 2\/(-9) + 35\/36. Which is the closest to -2? (a) v (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(84\/45)\/(-2))\/(338\/((-87542)\/259)).\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*a + a - 11, -2*a = -g - 7. Is (-8852)\/(-2) - 2 - g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*o**2 - 13*o**2 - o + 32*o**2 + 1 + 34*o**3)*(-2 + 1 + 3)*(-4 + 3 + 0) to l + p*o**2 + k*o + n*o**3 and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose 0*f = -3*f + 9. Suppose k - h*k + f = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/((sqrt(6) - -2*sqrt(6))*-4))**2 + 0.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017413 take away 30576383?\nAnswer: -30576383.017413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219405.\nAnswer: 5, 11, 22171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 234*n - 1144. What is q(5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 521 = 7*b + 481, 100 = 5*i + 5*b for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605) + -4*(sqrt(605) + -1) + 1 + sqrt(605) + 1)*-2)**2*5.\nAnswer: -2640*sqrt(5) + 12820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 464485689 to the power of 1\/2, to the nearest integer?\nAnswer: 21552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-36))\/((-1)\/(-6)). Suppose -9345 - 10787 = -g*n. Suppose -2*m - 304066 = -n. What is m rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9331935 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44773593*h**2*z**3 - 28282673*z**3 wrt h.\nAnswer: -89547186*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2382, -2344, -2294, -2232, -2158, -2072?\n\"Answer: 6*s**2 + 20*s - 2408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7726579 + 0?\nAnswer: 7726579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*n = -82, -11*n = 4*u - 10*n + 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 - 37*n + 18*n - 85*n**2 + 19*n.\nAnswer: -79*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 2 - 1\/3*o**3 + 0*o - 1\/2*o**2. Let m(b) = b**2 + b. Let u(p) = -4*m(p) - 5*x(p). Find the second derivative of u(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmffffffffmmmmffff. What is prob of picking 2 f?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**9\/756 + w**6\/90 - w**3\/6 - 2*w**2. Let n(y) be the first derivative of i(y). What is the third derivative of n(d) wrt d?\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -378 + 385. Let 11*f**2 - 9*f**2 - 7*f - 31 - 5 - h*f = 0. What is f?\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and 33.\nAnswer: 85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1154 - -1146. Let u(z) = z + 22. Let i(g) = 7. Let h(v) = 8*i(v) - 3*u(v). What is h(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 79.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - -4.06. Let f = -0.2835 - -0.6035. Let w = 98.5 + -99. Sort f, 1, w, c in decreasing order.\nAnswer: c, 1, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -22*b - 36 - 2*b - 4*b**2 + 0*b = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2901, 5782, 8675, 11586, 14521?\nAnswer: 17486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-12))\/((-19830)\/25779)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4845185, 4845184, 4845183, 4845182, 4845181?\nAnswer: 4845180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -62 + 58. Suppose -4*i = -o*h + 240, 8*h - 4*h = -4*i + 256. Solve 58*b - 16 = h*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/69 - -13\/23. Suppose k*p**2 - 2\/3*p - 1 = 0. Calculate p.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v - 1. Let g be -1*v\/((-4)\/12). Suppose -4*f + g*p + 29 = 0, 0 = 4*p + p - 5. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.4. Is 6\/5 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 7*h + 4. Let g be p(-7). Let l = -89 - g. Suppose 3*a + 0*i - 251 = l*i, -2*a + 3*i + 168 = 0. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 16 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48587387 + 5344750579\/110. Let k = -6252\/5 + c. Calculate the common denominator of k and 101\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 12 = 0. Let v(r) = 9 - 5*r**2 + r**3 + 11266*r + 11286*r - 22558*r. Give v(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 41. Find the common denominator of (-1167)\/42 - v\/(-49) and (-1)\/((-4)\/50) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28282 less than -10.9?\nAnswer: -28292.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -64617.8276 to the nearest 10.\nAnswer: -64620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*(6 - 2) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 160*o**5 - 624*o**4 + 794*o**3 - 408*o**2 + 72*o = 0. Calculate o.\nAnswer: 0, 2\/5, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9306000 rounded to the nearest 100000?\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 36 = -6*w. Suppose -5*p + 27 = -3*p - 5*s, -w = -2*p + 2*s. Suppose -p*u + 20 = -5*u. Solve u = 4*f, -5*g = -3*f + 11 + 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 320500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23378 - 19332. List the prime factors of l.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160 + -0.4353059\nAnswer: 159.5646941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7254033, 7254029, 7254025, 7254021, 7254017?\nAnswer: 7254013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 + 0)*(49*i - 49*i - 14*i**2) - 138*i**3 - 4 + 136*i**3 + 9.\nAnswer: -16*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 16*x**2 + 11*x + 17. Let q be i(17). Suppose g + 5*a - q = 0, -38*g + 39*g - 481 = -a. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-5) + 4\/(-10). Let s be o\/7*11 + 2. Let c be (-6)\/(-4)*120\/(-36). What is the smallest value in s, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.42686 litres in millilitres?\nAnswer: 4426.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305974b (base 12) to base 6.\nAnswer: -522324535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**6\/120 - 3*s**5\/20 + 15*s**4\/16 - 15*s + 4. Let i(n) = 0. Calculate n.\nAnswer: -15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 30*o**7\/7 - 71*o**4\/3 - 266*o. Find the third derivative of c(s) wrt s.\nAnswer: 10800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1120 - -1120. What is the nearest to 1\/2 in 2, 7, f, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from lzkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*w + 69*w**3 - 70*w**3 + 35*w**3)*(-w**2 + w**2 - 2*w**2).\nAnswer: -68*w**5 + 86*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 2*y)*(y**4 - y**4 - 2*y**4) + (-y**5 + 0*y**5 + 7*y**5 + 2*y**4)*(-4 + 7 - 1).\nAnswer: 16*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 28. Let t(x) = 6*x + 42. Let l(i) = 7*n(i) - 5*t(i). Let m be l(-7). Let d = -6 - -10. Sort -0.4, d, m in decreasing order.\nAnswer: d, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) + (-6)\/(-4). Sort -5, 5, i.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 - 58. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34 - ((0 - 0) + -1). Suppose -4*q = 11 - c. Suppose 0*p - 2*p + q = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18174 and 624?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 98*a - 10. Is m(5) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115725 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134306479 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 103. Let o be ((-2)\/8)\/(15\/30)*4. Put j, o, 2, 6 in decreasing order.\nAnswer: 6, j, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.1, 1\/5, 41\/64799, 3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13431\/11 + 2 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 0*w**2 - 3*w + w**2 + 1 + 2*w. Suppose -31*l = -33*l - 4. Let q(a) = -8*a - 2 + 0*a - 4*a + 5*a + 8*a. Determine l*q(d) - 2*z(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1461*t - 12 = -3*i - 1467*t, 21*i + 4*t = 24*i + 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(152) - sqrt(152)) + sqrt(152))\/(sqrt(32)\/sqrt(4)*1) - -3*((6*sqrt(931))**2 + 0).\nAnswer: sqrt(19) + 100548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**3 + 2*i**2 + 5*i + 2. Let u(q) be the first derivative of -5*q**4\/4 + 2*q**3\/3 + 3*q**2 + 3*q + 151. Give 2*u(c) - 3*y(c).\nAnswer: 2*c**3 - 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 3634243a?\nAnswer: -36342439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 - (7 + (3 - 4)) - (-106 - -164)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*6 + 1)\/(-1). Let g(r) = -r**2 - 16*r. Let x be g(-16). Suppose c*h + 4*s = -10, 5*h - 4*s - 30 = -x*s. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 3}. What is prob of sequence oo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 300 = 5*x, 0*l = 3*l - 4*x - 173. Suppose -56*f - 72 = -l*f. What is the lowest common multiple of 36 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-44) + -2 + 53 + (-22698)\/198.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 10. Let u = 0.25 - -0.03. Let n = -0.48 + u. Which is the third smallest value? (a) -1 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 1, g: 4, u: 5, y: 3}. What is prob of picking 3 u and 1 g?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 235.23 - 235.03. What is the fourth biggest value in -6, n, -1, 357?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228951 = -10*j - 229521 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and -7971\/784 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/36)\/((-2)\/(-3)). What is the second biggest value in -3\/7, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 250*u = 252*u - 16, 2*s - 86 = -18*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/12 + 5*t**4\/12 + 10*t**2. Let b(d) = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1213951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5875 - -5892. Solve 3*d - i = c - 3*c, 0 = -3*d + 3*c - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -30*l**3 - 4*l**2 + 288*l + 291. Suppose a + 2*a = 3*t + 30, 0 = -5*a + 4*t + 50. Calculate the remainder when b(-1) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2463 + -13034. Let r = -10655.13 - y. Let a = 86 + r. Round a to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4683 - 1803. Let w = -2858.39 + g. Let o = -21 + w. What is o rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 6*a + 12 - a**2 + 4*a - 2*a in the form k + c*a + f*a**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 870659, 870652, 870643, 870632, 870619, 870604?\nAnswer: 870587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-8)\/28)\/(116\/6496)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28504)\/4928 + (-1)\/11 + 6.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 3096.804.\nAnswer: 3104.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 7*u. Let c = 50 - 50. Suppose c = -o + 2*o - 14. What is the remainder when o is divided by a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3910429047?\nAnswer: 3, 7, 4159, 44773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = -4*l - 63, 5*l + 110 = -5*q. Let u = l + 2. Let i(t) = 25*t + 108. Let f(a) = -13*a - 61. Let p(w) = 2*f(w) + i(w). What is p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 21 + 23 - 21. Let y be b(-6). Let m(s) = s**3 - 17*s**2 + 14. What are the prime factors of m(y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nux when three letters picked without replacement from {x: 8, n: 2, u: 8}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 6) + 0 - (-270882)\/6363.\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27025 - 4?\nAnswer: 27021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 0 + 4 + 8 + 7 - i. What is the units digit of q(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8179 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -30. Suppose 87 = 3*q + l. Solve -5*b + q = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.99. Let c = w - 0.19. Let n = 4.2 + c. Sort -2\/25, n, 0.4 in descending order.\nAnswer: n, 0.4, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-84)\/700 - (-2 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97339013 to the nearest integer?\nAnswer: 9866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19616 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -63. Let k = -30.5 + a. Let n = -180\/7 - -26. What is the third smallest value in n, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150653.\nAnswer: 3, 7, 157, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 965 and 71?\nAnswer: 68515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from qqqfmqmqmmm?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 32*l + 0*l - l**2 + 33*l - 8*l**3 as o + g*l**2 + j*l + t*l**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9 - 4*h - 4 - 1 + h**2. What is u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5 - 582*n**4 - 18183*n**3 - 59184*n**2 + 473796*n - 555984 = 0. What is n?\nAnswer: -156, -33, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 18*v**3\/7 - 2516*v**2\/7 - 5672*v\/7 - 1136\/7 = 0.\nAnswer: -2, -2\/9, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 6 = -2*w, 4*w - 22741 = -b - 22765 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lblllplldllbvd. What is prob of sequence vlb?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 6)\/((-8)\/32).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(63)*-2 + 1 + sqrt(567) + (sqrt(84) + (sqrt(84)*-2 - sqrt(84))*-4)\/(5*sqrt(60)\/sqrt(5)).\nAnswer: -4 + 28*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*b = -12, 0 = 3*a + 4*b - 10 + 30 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.2 (c) -290\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2286\/(0 + 6) - 6\/2. Solve 15 = -373*f + u*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-1))\/(3\/4). Let o be 2 + 1 - (2 + -1). Let u(s) = -s**2 + s + 2. Let z be u(o). What is the closest to z in 5\/3, n, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 35 + (1 - (-3)\/(-9))*3. Let c = i + -42. Put 4, c, 8 in ascending order.\nAnswer: c, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(15*9*(-20)\/270)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 3*l + 2*l)*(1 + 2*l - 1) + (0 - 2 + 0)*(-l**2 + l**2 + l**2) as j*l + q + o*l**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.26? (a) -2\/5 (b) -5 (c) 15 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47093*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -16815862\/9 at least -1868428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3993 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {i: 1, j: 3, f: 1, u: 1, o: 7}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18589097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 8*y**2 - 3*y + 12. What is z(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 3097?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + t + 39. Let w be u(-13). What is the third derivative of 72*h**2 + 533 + 3*h**3 - 3*h**5 - w wrt h?\nAnswer: -180*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 divided by -6.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 397*n - 20. Let w be x(11). Let l = -95613\/22 + w. Let a = 965\/58 - -25\/29. Calculate the common denominator of l and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1 = 2*h, r - 16 = 2*h + h. Let k(u) be the first derivative of u**4\/4 + 8*u**3\/3 + 3*u**2 - 10*u - 73. What is k(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5019?\nAnswer: 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - 0.4. Let t be (-4)\/8 + (-46)\/(-4). Does t = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 3) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 316 + -345?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 17. Let f = -157 + 197. Let i be (-12)\/(10\/f + (-10)\/(-8)). Give v(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 885 and 909.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 14. Suppose 14 = 3*u - 22. Suppose 4*t = 7*t - u. Solve x = c + t*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 87 - 87.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**6\/72 + o**4\/24 - 3*o**3\/2 + 7*o. Let u(q) be the second derivative of w(q). Find the first derivative of u(g) wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(-2 + sqrt(28)))**2.\nAnswer: -128*sqrt(7) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(140)\/(sqrt(60)\/(sqrt(6) + sqrt(96)) - sqrt(10)))\/(sqrt(7) + sqrt(49)\/(sqrt(28)\/sqrt(4)) + (sqrt(567)*3 - sqrt(567))))**2.\nAnswer: 9\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 0*h**2 + 29\/3*h**3 + 14 + 0*h**4 - 3\/5*h**5 + 0*h. Find the third derivative of q(o) wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41817 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 876910 to the nearest ten thousand.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 46, 75, 106?\n\"Answer: v**2 + 24*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q + 16. Calculate the common denominator of (186\/q - -1) + 3 and -31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 127678*y + 766044.\nAnswer: 2*(y + 6)*(y + 191511)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**2 - 531*p - 11016 = 0.\nAnswer: -153, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 122, 358, 844, 1670, 2926, 4702, 7088?\nAnswer: 10174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.7 + 1.7. Let m = -36.5 - -36. What is the nearest to -2 in 1, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206796001?\nAnswer: 206796001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 - 5*j**3 + 10*j**3 + (2*j - 2*j - 2*j)*(-2*j**2 + 6*j**2 - 3*j**2).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1540*-1.\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 15 - 17. Solve 2*a - 3*u = a - 7, u + l = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g**2 - g + 3. Let v be p(0). Let s(m) = 0*m**2 - 6 - 5*m - 3*m**2 - m**3 + 0*m**v - m**2. What is s(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 1)*(2 - 1 + 2) - 2 + 2 - 3)*(-257 + 381 + 790)*(4*z - 7*z + z).\nAnswer: -5484*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 0 + -2 - 2. Let t be (0 - 1) + (0 - h). Suppose 0 = -2*z + 4*l - 8, 5*z = 2*l - l + 7. Solve -2*y = y + z*f + 10, t = -3*f - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 316 - -740. Differentiate -1227*g**4 + v*g**4 - 34 + 250 wrt g.\nAnswer: -684*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2916) + sqrt(2916) + 1*sqrt(2916) + sqrt(2916))*-4 - sqrt(2916) - sqrt(2916)*1*4)\/(sqrt(588)*1 - sqrt(144)\/(sqrt(72)\/sqrt(6))).\nAnswer: -63*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/238 + 756\/68. Calculate the lowest common multiple of 28 and -2 + (8 - r) + 45.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13082, 13064, 13062, 13088, 13154, 13272?\n\"Answer: 2*r**3 - 4*r**2 - 20*r + 13104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 12) to base 2\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108)\/(-14) - 4\/(-14). Suppose d - 5 + 4 = 0. Let f be d + -2 + 2\/l. Which is the biggest value? (a) f (b) 2\/17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-201 - 194 + 618)*(2*i + i - i - 4*i + i + i + 3*i - 3*i - 2*i + (4 - 4 - 2)*(-2 - 2*i + 2) - 3*i + 3*i + i + 3*i + 0*i - i) as a + o*i and give o.\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6110 * 2.\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -70. What is the remainder when 49 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*u = 23, 0 = -5*i - 85*u + 88*u + 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 95, 64, 49, 56, 91, 160, 269?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7052 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 624821953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -256, -415, -574, -733?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2815 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/3439 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8264229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61902835041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1\/6, 0.07, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*r + 0*r = -2144, 8 = 2*r. What is the units digit of c\/16 - (-1 - (-10)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9472, 9279, 8950, 8485, 7884, 7147, 6274?\nAnswer: 5265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*b**2 - 4*b - 6*b + 10*b + b to y*b + g*b**2 + q and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**2 + 2*n**4 - 8*n + n**3 + 9*n + 5*n**2 - 8 to i*n + a*n**3 + h*n**4 + b + j*n**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 5, -1\/3, -2, 3.1, -0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4563\/(-465) - 2220\/5735?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 4. Let m be p(0). Let g(r) be the second derivative of r**4\/12 - r**3\/6 - 5*r**2\/2 + 8*r. Determine g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 + 6*v - 4. Let j be z(1). Let m(c) be the first derivative of -13*c**2\/2 - 3*c + 2. Is m(j) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/3 (b) 0.2 (c) -1\/7 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/235480 and 13\/14938?\nAnswer: 251257160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/644 and (143 - 138) + (-7298)\/1472?\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1071 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6*c + 25, -3*c + 3 = -b. Sort -2, b, -12 in descending order.\nAnswer: b, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 8. Let l(x) = x**2 - 2*x + 2. Suppose 0*y + 3 = -y. Let q(z) = z**2 - 3*z + 3. Let n(i) = y*l(i) + 2*q(i). Determine m(n(w)).\nAnswer: -2*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9998467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {f: 1, r: 1, q: 1, b: 2, j: 2, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202548 is divided by 18411?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23529772.\nAnswer: 2, 7, 43, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022000 - -1210?\nAnswer: -1020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from {b: 1, y: 2, q: 11}.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/156 and 46\/1876797.\nAnswer: 7507188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Let s = 6061 - 6058. Let k = 1\/52 - -389\/52. Which is the second biggest value? (a) d (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217137 (base 10) to base 5.\nAnswer: -23422022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/94116 and 53\/8172406?\nAnswer: 49034436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 (base 5) in base 13?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1386 + -1372. Solve -3*a = p - 14 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/(-36))\/((-9)\/(-243)*-6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 5. Let p(d) = d. Let q be p(3). Let f = -4 + -3. Let o = q + f. Let x(y) = y + 2. What is o*g(w) - 9*x(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*k**3 + 4*k**2 - 22*k**3 - 24 - 9*k - 11*k.\nAnswer: 14*k**3 + 4*k**2 - 20*k - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b**2 + 1 - 5395*b**3 + 5546*b**3 - 65*b**2 + b**2 + 29*b**2.\nAnswer: 151*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 2*o)*(36 + 32 + 648*o - 100 + 32).\nAnswer: -648*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 2:37 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/7 + 430\/301. Solve -3*g + p*g = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 2, n: 5, f: 1, i: 3}. Give prob of sequence nnyf.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13648026708 rounded to 5 dps?\nAnswer: 0.13648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 9*x - 45 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -224120 (base 5) in base 8?\nAnswer: -17543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*y**2 + 636*y**2 - 1275*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -24. Solve y + 1 = -s*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-13)\/(26\/(-4))))\/((-7)\/161).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/24 - (-3 - 24\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o**2 + 13*o + 6. Let j be a(-10). What are the prime factors of 4\/j*-16*(-2676)\/(-16)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*x + 112*x - 49*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.4, -2\/9, 0.25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10705900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 - 798 = -73*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r**2 + 0*r)*(-r**2 + 2*r**2 - 2*r**2) + (-1 + 3 - 3)*(-r**4 - r**4 + r**4).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5315 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/16*25 - ((-255)\/(-120))\/(-17) - -2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 57 - 11. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*a + 2, -2*a + 2 = -l - 0*a. Let o be (-4 + 2 - -3) + l. Differentiate -3*g + 3*g - o - 2*g**2 wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 116*n + 604. Let a be l(-5). Solve 6*u = -6 - a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2*z - 6*z - 5*z + 5*z**3 - 3*z - 5. Differentiate p(c) wrt c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 254 = -1202. Suppose 5*i - 587 = -z. Suppose -2 = -c + i. What is the remainder when c is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165859 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**6\/3 + 4*g**5 - 20*g**4 + 160*g**3\/3 - 80*g**2 + 64*g + 847. Factor b(y).\nAnswer: -2*(y - 2)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111014131 (base 5) to base 11.\nAnswer: -252a688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l - 48 = -204. Solve -18 - 18 = l*p - 4*b, 4*b + 9 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (19*(-1)\/(-5))\/((-2346)\/(-11730))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*o + 309, 0*v = -4*v - 2*o + 638. Suppose -v = -9*z + 3*z. Let g = -94 - -145. What is the remainder when g is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*o + 204*o - 104*o)*(-7*o - 9 + 9).\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 4*t - 3*t - 2*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040272\/263 less than 7759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - n + 26, w + 0*n = -4*n + 27. Let l(y) = y + 2. Is 8 a factor of l(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10524.3302 rounded to the nearest one hundred?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 16. Let w = a + 13. Calculate the remainder when 29 is divided by w\/(-18) - (-92)\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l**3\/10 + 110147*l**2\/10 - 822*l\/5 = 0 for l.\nAnswer: -1644, 0, 1\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -346130*d + 2422907. Calculate q(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1576\/(-138) - (-497)\/213 - -9?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/611891 and -19\/27755.\nAnswer: 39772915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134)\/72 + 2 + 13\/117?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3056 a factor of 96027505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/200 and 65\/68.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -383\/254 + 1\/127. Suppose -2*m = 3*m + s + 6, -4*s + 24 = -4*m. Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -105 - -9 - (-240 + 213)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2 = 3*n - 6*n, 0 = 2*n - 4*t - 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-3) - 1\/3. Suppose -8 = 2*d + 4. Let a be (199999 + 1)*l\/d. Round a to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x**3 + 0*x)*(53 - 276 + 121).\nAnswer: -102*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -8298.02?\nAnswer: -8298.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 49 + 4*o + 2*o to the form x*o + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -246984581 at most as big as -246984581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-1 - (-2 + 0)). What is the remainder when 38 is divided by 18\/2 - (-2 + h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113684.\nAnswer: 2, 97, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -31005.2718 and 29.\nAnswer: -30976.2718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q - 72. Let r be x(14). Is 5217 + (r\/(-30) - 48\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a**1\/a)\/a))\/a)**(2\/71))**(5\/3)*((a\/a**(-1))**23)**(2\/5) assuming a is positive.\nAnswer: a**(19646\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.4408 rounded to 1 decimal place?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3 + 180*u**2 + 380*u = 0 for u.\nAnswer: -2, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18407 (base 9) to base 15.\nAnswer: -3b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -40 + 20 + o + 15. What is s(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.902.\nAnswer: -4.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 15. Let s be c(-10). Suppose -s*v + 220 = -0*v. Suppose 12*m - v = 8*m. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyylpuplllyyya. What is prob of sequence ya?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 10*k - 2*k + 11, 3*f = 4*k + 7. Are f and 45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5256 divided by -1314.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**5\/y)\/y)**30)**(-37) assuming y is positive.\nAnswer: y**(-3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25.8 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2025\/(-6) + 1)*-18 - (-11 - -5). Round r to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201 + -198. Suppose -5*o - c*r = 4 - 20, -18 = -5*o - 4*r. Calculate the highest common factor of o and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvtttvvtvvvvttvv. Give prob of sequence tvtv.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllrtllqrllrrtlll. What is prob of picking 2 r and 1 q?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 5*l**2 + l + 32. Determine v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20*a + 20)*(2*a**2 - 2*a**2 + a**2).\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*o - 3 = 0, s - 3*o = -4*s - 1. Let i(d) = 10*d**3. What is the tens digit of i(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 c when four letters picked without replacement from hvccghhccgvch?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -56*j + 13. Let k(i) = -24*i + 6. Let w(g) = 4*f(g) - 9*k(g). Give w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**2 + 123044*h = 0.\nAnswer: 0, 30761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:11 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 - 55. Suppose 0 = 3*b, -4*w - 3*b = -5*w + 84. What is the highest common factor of t and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6479537ng?\nAnswer: 0.0000006479537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(19) + -5 + (sqrt(19) - (-4 + 1*sqrt(19))) + 1))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1051572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -257473 divided by 1\nAnswer: -257473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 3*m**2\/2 + 4*m + 3. Let x(q) = -26*q - 25. Let u(n) = 79*n + 71. Let d(z) = 2*u(z) + 7*x(z). Calculate 4*d(t) + 33*f(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7916, -15782, -23692, -31640, -39620, -47626?\n\"Answer: i**3 - 28*i**2 - 7789*i - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 7*k - 10. What are the prime factors of (-43)\/k - (-1)\/(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -839, -4322, -13783, -32210, -62591, -107914, -171167?\n\"Answer: -498*y**3 - y**2 + 6*y - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -55*m**3 + 827870*m**2 - 1806020*m + 301000 = 0.\nAnswer: 2\/11, 2, 15050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o**(2\/7)\/o*o*o)\/o)\/o*o))**(-43))**(2\/29)\/(o**(6\/11)*(o*o**4)\/o*o**(-3)\/o*o**0) assuming o is positive.\nAnswer: o**(-5948\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 589512639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 155 = 5*g - 1753, 982 = 3*g + 4*x. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4.4. Let o be (-1)\/3*(-30)\/(-5). What is the nearest to -0.2 in p, o, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2000480087.\nAnswer: 23311, 85817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 573998609 to the nearest integer?\nAnswer: 23958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 487301 and 15.\nAnswer: 7309515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efff when four letters picked without replacement from {e: 4, f: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*i**3 + i - 2*i**4 + 30*i**3)*(3 + 3*i - 3).\nAnswer: -6*i**5 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3238 or 37350?\nAnswer: -3238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + t**2)*(-1025 + 2628 - 5074 - 186 - 4901) as v*t + i*t**2 + g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-486)\/(-36) + -13)*4\/2. Put 6, i, 75, 4, -4 in descending order.\nAnswer: 75, 6, 4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 3130*w - 3141*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y - 2. Let f be d(3). Suppose f = 3*s - s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -413\/5 - -83. What is the nearest to a in 0.3, -2\/5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 240*g**2 + 240*g**2 - 499*g**2 + 110*g + 98*g.\nAnswer: 2*g**3 - 19*g**2 + 208*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3220148 times -0.3?\nAnswer: 0.09660444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-12)\/120)\/((-147)\/140)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15983\/321 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 365 + 365)*(-16*q - 7*q - 9*q).\nAnswer: -256*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 (base 6) in base 14?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901380651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - r + 1. Let c be (-3)\/(-1) + -4 + -4. Let x(k) = 6*k**2 - 2*k + 1. What is c*x(v) + 7*i(v)?\nAnswer: -2*v**2 + 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = 0. What is the third derivative of 2*d**4 + d**4 + u*d**2 + 0*d**4 - d**2 wrt d?\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2039, 4077, 6115, 8153, 10191?\nAnswer: 12229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-6 + 1 + 0 - ((-7 - -1) + -60)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 32990000 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 9*z**5\/20 - 5*z**3\/3 - 10*z - 1. Let d(c) be the first derivative of x(c). Find the second derivative of d(m) wrt m.\nAnswer: 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 8 = -2*a, v + 57 = -4*v + 47 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 6*x - 5*x - 92*x**3 + 105*x**3 as l*x + m*x**2 + g*x**3 + t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 292730.6nm in kilometers?\nAnswer: 0.0000002927306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*a, 0 = j - 2*a + 12 - 2. Let w = 0 - j. Let z(n) = n**2. Let s(l) = l**3 + l**2 + 8. Let m(t) = s(t) - 2*z(t). Calculate m(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 + 6 + 2 + z - 25 + 25.\nAnswer: z + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + u - 11 = -t, 0 = -4*u + 20. Suppose -t - 32 = -7*r. Suppose 4*d + 4*i = -3 - 1, 4*d - 23 = r*i. Solve 0 = -d*m + m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 + 59. Let c = u + 3. Let o = 53 + c. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 115?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-20 - -32) - 10) + 6 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1610 - 1519. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, q: 2, h: 5, a: 2, y: 1, k: 1}. What is prob of sequence aqqa?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187)*3)**2.\nAnswer: 19683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l**2 - 2*l + 2. Let v be m(1). Let f be (40\/(-15))\/((-2)\/v). Let g be f\/(-35) - 4\/5. Which is the nearest to g? (a) -0.2 (b) -0.3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 3*y - 32. Let q be w(6). Let g be (-3*(-8)\/q)\/(8\/(-28)). Solve 0 = 3*f + 3*f - g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 42, 2969.\nAnswer: 0, 42, 2969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8936 divided by -2\nAnswer: -4468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 1 + -4)*6 - 3*-2*(sqrt(13) + sqrt(52))*-5.\nAnswer: -24*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 852*f**2 + 84 wrt f?\nAnswer: 1704*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-48) + (-9)\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 = -0*i - 2*i, 2*q - 13 = -3*i. Let l be 33\/(5 - 2)*q\/(-6). Let t = 47\/12 + l. Sort -0.5, 7, 1\/7, t in increasing order.\nAnswer: -0.5, 1\/7, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3622 - 3582. Calculate the remainder when 77 is divided by r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + -19cd30?\nAnswer: -19cd13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153) + 4 - (sqrt(153)*-1)**2).\nAnswer: -144 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 92 = 16 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + -10.83. Let x = -0.01865 + -10.91635. Let q = x - u. Round q to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13414*k + 9879*k = 8731*k - 1077588 for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + 4 - 4)*(-2*m + 2*m + m) + m**5 + m**5 + 4*m**5.\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -841*l. Let j(a) = -3*a**2. What is j(p(q))?\nAnswer: -2121843*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 69 (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 25 = -63. Let y be (-354)\/4*a\/33. Suppose -5*h + u = -u - y, -5*h - 3*u = -98. Calculate the remainder when 85 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j*l + 58840*j - 1612*l wrt l?\nAnswer: 2*j - 1612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a\/a**(-17))))**(-34))**(-9) assuming a is positive.\nAnswer: a**5814","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1038588, -2077547, -3116506?\n\"Answer: -1038959*c + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(0 + 0 + 2)*(-3 - 2*x + 3).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t - 213 - 105 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c. Suppose -h = 3*d, 2*d + c*d = 5*h - 17. Let a be (d - (-3 - 0))\/(-2). Put a, 1\/3, -0.2 in increasing order.\nAnswer: a, -0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + -6 - 0 - 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/80*10*0. Solve x = s - 0*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203*f**2 + 154*f**2 + 23*f**4 - 25*f**4)*(11*f + 12 - 12).\nAnswer: -22*f**5 + 3927*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 12*r**2 + 18*r - 68. Calculate g(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/33 (b) 1 (c) -0.22 (d) -2\/9 (e) -446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4326, 9033, 13682, 18273, 22806, 27281?\nAnswer: 31698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 17*r**4\/12 - r**3\/3 + 12*r**2. Let c be i(5). What is the highest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o - 2*o**2 + 0*o**2 - 2*o**3 + 6*o + 1 to the form v*o**3 + p + c*o + i*o**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 410 = -10*n + 15*n, 3*u = -3*n + 1248. Calculate the remainder when u is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8269277201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 2*m + 4)*(-5 - 2 + 5) + 0*m + 33*m - 17*m)*(-1107 + 1107 + 278*m**2) to f*m + r + p*m**2 + o*m**3 and give o.\nAnswer: 5560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233231074 to the power of 1\/3, to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(270)*1)\/(sqrt(48)\/(sqrt(8) - (sqrt(8) + sqrt(512))*-1)).\nAnswer: -150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 17.2, -0.2.\nAnswer: -5\/4, -0.2, 17.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 62 + 13 = -4*w, -4*z + w = -330. Calculate the remainder when z is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/12 - 206\/(-3). What is the greatest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1881)\/418*8\/6 - 200\/(-34).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1279 + -1275. Solve 8 = -3*q - 2*p, -6*q + t*p = -3*q - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 31.802. Let j = m + 173.498. Let r = -165 + j. Round r to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 3*q**5\/20 + q**3 + 12*q**2 + 2*q + 2. Differentiate l(b) with respect to b.\nAnswer: 9*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1) + -1 - (4 - 7). Which is the nearest to -2\/7? (a) -9 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15415675 divided by -6.\nAnswer: -15415675\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9067.\nAnswer: 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*n + 38. Suppose -23 = q - 2*q + 4*u, -n*q = -3*u - 24. Solve 3*p + q*s = 2*p - 8, 0 = -5*p + 5*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.263 - 0.037. Let a = 7 + s. Let i = -336 + 330. What is the closest to 1 in i, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/k**10)**(-47)*((k\/(k\/k**(-1)*k)*k)**(4\/9))**40 assuming k is positive.\nAnswer: k**(8300\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 4*x + 19 + 1, 0 = -5*b - 3*x - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-6))\/(-2 - (-15)\/(-6)). Which is smaller: a or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -941.43 + 935. Let r = -0.37 + a. What is r rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:32 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 5 - (-17 + 1 + -7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - (-4)\/(-5))\/((-6)\/(-1580))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 - 160 - (-1 + (-4)\/(-1)). Which is smaller: -128 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 2. Let u be (-6)\/3*(-45)\/j. Let k = u - -181\/4. Which is bigger: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -633 (base 12) to base 15\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2808, 332, -3 in descending order.\nAnswer: 2808, 332, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 8. Calculate u(5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/29 (b) 3 (c) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*t**2 - 43*t**2 + 455*t**3.\nAnswer: 455*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d + 3. Let g be v(-3). Let x = 7 + g. Let u be ((-44)\/(-55))\/(3\/((-15)\/2)). Put -0.1, x, u in increasing order.\nAnswer: u, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1514 + 1517. Solve -z - 2*s - 7 = 0, 5*z + j*s - 4*s = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415 is divided by 107.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -11525601.\nAnswer: 1\/3841867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -47, -69, -89, -107, -123?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/11 (c) 177 (d) 1\/7 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 439 (base 15) to base 7\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**3 + 7300*s**2 + 7309*s**2 - 14609*s**2 + 117*s**3.\nAnswer: 95*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 + 3*p - 3. Calculate k(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 2*w + 1\/2*w**3 + w**2 + 0. Give h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 1:36 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -89*o**3 + 6*o - 2. Let i be q(2). Let w(z) = -28*z**3 + 3*z**2 - 8*z + 8. Let t be w(4). What is the common denominator of (t\/i)\/(2\/3) and -4\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 41*s - 205. Let u be b(-9). Determine h, given that -3\/5*h**3 + 0*h**u + 0*h + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*((-3002)\/228 + 13)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(1425\/(-266))*-3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 9*j. Calculate the remainder when 38\/4*2 - 0 is divided by v(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/3)\/(-4)*3. Let j = d - -4. Suppose -r - 2 = -j*r. Which is the nearest to r? (a) -1 (b) 0.5 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f - 8*f = 177 + 98 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rllrlrl. What is prob of picking 1 r and 1 l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 2, r: 1, n: 2, p: 1, k: 1}. What is prob of sequence nn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 709959345 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/3 + 320*m\/3 + 852.\nAnswer: 4*(m + 9)*(m + 71)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 - -518\/3. What is the smallest value in j, 4, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.7 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/4262 and 101\/3932.\nAnswer: 8379092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Suppose -t = -i + 22, -5*i - b*t + 62 = -69. Let m = i - 15. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1131 + -6?\nAnswer: -1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2805 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 170741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -349? (a) -5 (b) 1\/4 (c) -3 (d) -223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 4*z**3 + 2*z**3)*(-490*z**2 + 287*z**2 + 268*z**2).\nAnswer: 130*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m + 52. Suppose 0 = 5*l + 3*j - 22, 2*l - 6 = l + j. Let w(z) = -19*z + 53. Let t(s) = l*w(s) - 6*g(s). What is the hundreds digit of t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*u. Is -1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(4*1\/20). What is the tens digit of (-861)\/(-35) + (-3)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 638202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m + m**3 + 1 + 0*m**3 - 3*m**2 + 3. Let l = -771 + -244. Let j = l - -1019. Give v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/965?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + h + 3*h)*(-16281*h**2 + 1299 - 434 - 433 - 432) to the form o*h**2 + q + z*h + t*h**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 13) to base 6\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4960994 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 658444 and 23576?\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -310, -618, -926, -1234?\n\"Answer: -308*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -22598, -0.2, -4?\nAnswer: -22598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/27)\/(5\/15) - (1 - -5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3651456 (base 8) to base 11\nAnswer: -626631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 - 83*d - 12. What is the least common multiple of 20 and k(17)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 54.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74219750 or -74219752?\nAnswer: -74219750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -256*k + 304. Let r be s(12). Round r to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*k - k + 8*k)*(62 - 59 + 13*k**2 + 3*k**2) as j*k + g + z*k**2 + d*k**3 and give j.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39143 * 3.5.\nAnswer: 137000.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116074 or 116141?\nAnswer: 116141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w**3 - 5*w**2 - 3*w + 6. Let n(o) be the first derivative of o**4\/4 + o - 5. Let d(h) = -n(h) + t(h). Is d(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27740 and 215460.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -875*o**6 + 1 - 426*o**2 + 1060*o**2 - 92*o**5 + 92*o**5 wrt o?\nAnswer: -105000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 248 (b) -0.05 (c) -0.5 (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1, -242, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 1\/80*v**5 - 1\/48*v**4 - 4*v + 0*v**3 + 0 + 0*v**2. Factor c(z).\nAnswer: z**2*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22963 is divided by 1912.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*u = -4*i - 5, -5*u - 10 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from oooohhhoowhhho.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((36\/(-18))\/(4*7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -17\/4 (b) 1\/3 (c) -0.2 (d) 57 (e) 5 (f) 129\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 275\/6, 5, -4, -0.3 in descending order.\nAnswer: 275\/6, 5, -0.3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:36 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00116489512 rounded to six decimal places?\nAnswer: 0.001165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525968 is divided by 442.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 282*p**3 + 14*p**4 - 9*p**4 + 4 - 162*p**3.\nAnswer: 5*p**3*(p + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*x - 216, -2*s + 12*x + 464 = 14*x. What is the remainder when s is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**3\/((j\/(j*((j*j\/j**(7\/6))\/j)\/j))\/j)*(j**(-4))**(-4\/3) assuming j is positive.\nAnswer: j**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186851, 373714, 560605, 747536, 934519, 1121566, 1308689, 1495900?\n\"Answer: 2*f**3 + 2*f**2 + 186843*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/49)\/((1200\/(-7000))\/(16\/(-10))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:12 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/84 and 127\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*v - 74 = 4*y - 56*v, -3*v = 6. Let g = y + 478. What are the prime factors of g?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 12 (b) 66 (c) 0.2 (d) -208 (e) -5 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 150*u - 2*u**2 + 0*u**2 - u**3 + 3*u**2 + 0 to the form t*u + o*u**3 + j*u**2 + k and give t.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(2 + -2) + 2 + 3. Suppose -2*j + 4*j = -y*f + 427, -2*j = -3*f + 253. What are the prime factors of f?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 11*n + 4. Give z(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjijpqpjjjppq. Give prob of picking 2 j and 1 p.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 16, -8\/9, -855, -5, 2\/7 in descending order.\nAnswer: 16, 2\/7, -2\/3, -8\/9, -5, -855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:18 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 1 - 2\/3*n**3 + 5*n**2 + 3*n. Let o be t(7). What is o rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.8767401cm?\nAnswer: 8.767401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3 + 2 = 0. Let f = 63107 - 63106.8. What is the closest to f in 3\/4, 3, j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*r + 4*l - 8, -18 = -42*l + 36*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*x = 508, -r + 2*x - 300 = -42. Let b = r - -606. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-575)\/(-20))\/(-23))\/((-1)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5045378970.\nAnswer: 2, 3, 5, 3847, 43717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*l*n - 3*a**2*n**2 - 2*a*l*n**2 - 3*a*l + 12*l*n**3 - 6*n wrt n?\nAnswer: -6*a**2 - 4*a*l + 72*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + ((sqrt(108) + 1)*-6)**2 + -3 + (6*(2 + sqrt(108)) - sqrt(108) - (sqrt(108) - (-4 + 1*sqrt(108)))).\nAnswer: 462*sqrt(3) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (759\/(-46) + 14)*(-332)\/10. Solve 37 = 24*o - r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83672*r - 15032 wrt r.\nAnswer: -83672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -3 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6113963 is divided by 20312.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2 - 5 + 5 - 3*q. Let h(d) = -4*d + 2. Give -6*c(p) + 5*h(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -90*p**3 + 181*p**2 + 207*p + 19. What is b(-1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 9 = 5*b. Let k = b + 24. Solve -4*o = -k - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/177929820 and -59\/17444100?\nAnswer: 889649100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) 4 (c) -0.2 (d) 45 (e) 2\/77 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.962352018277 take away -88?\nAnswer: 88.962352018277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2186300 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 361*l = 179*l + 197*l - 303, 63 = -7*b + 6*l - 4*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9\/(r*r**(-20)))**(-4\/33) assuming r is positive.\nAnswer: r**(-112\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*p + 35, 243 - 84 = 5*s - p. Suppose -4*c = s - 12. Suppose -5 = -q + 2*o, 4*o + 7 + 2 = 3*q. Put c, 2, q in increasing order.\nAnswer: c, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 30*d + 49. What is the remainder when 3625 is divided by o(-30)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(-5*(-37)\/(-1295)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8558182 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**3 - 7*u**2 + 20*u - 26. Determine q(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-12 - (-5 - 2)) - -9 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 11*c - 10*c. Suppose 0 = 3*j - 8*j - 4*a, c*j = 5*a. Solve -12 = -3*b - j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10450 and 17600.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38 and 0.1772285.\nAnswer: 38.1772285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 5*q. Let u(m) = -m**2 + 5*m**2 + 0*m**2 - 3*m - 5*m**2. What is 5*u(f) - 3*y(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/123424 and -101\/6336?\nAnswer: 24437952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3683368 - p**3 + 3*p**3 + 3683369.\nAnswer: 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/42*28\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1317, -2636, -3955, -5274?\nAnswer: -6593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 16 = -5*s, -62 = -2*c + 2*s + 26*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -71*w - 1126. Calculate z(-35).\nAnswer: 1359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/234 and 1\/10?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1281 = -4*v. Let p(y) = y**3 - 2*y**3 - v*y + 181*y + 1. Give p(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.14467817 and 13.\nAnswer: 12.85532183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 2*y + 22. Let a be w(6). Let v be 16\/7*(-7)\/a. Suppose -2*d + 8 = -2*h + h, 3*d - 9 = 3*h. Solve 2*c + 0 = -8, -h*c = 2*i + v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -87 and 277?\nAnswer: -24099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwttiaai. Give prob of picking 2 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 536674\/33 - 48724\/3. Let k = g - 64\/3. Let h = 7 - 9. Sort 0, k, h in decreasing order.\nAnswer: k, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.11? (a) 10 (b) -5 (c) 3\/2 (d) 1\/2 (e) 2\/11 (f) -1.217\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2871340?\nAnswer: 8614020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-12) + 187\/33. Suppose -3*c + 2 = -2*c. Solve 0 = o*s - c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**7\/7 + x**3\/3 + 7*x. What is the second derivative of g(f) wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 402 or 404?\nAnswer: 402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/7964 and 43\/36.\nAnswer: 71676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -67735765 and -67735765 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -237*a - 80 + 157 - 79 + 720*a in the form b + f*a and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, 5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 5*l**2 + 93*l - 1597. Is x(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 307608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/242567 and 27\/1235.\nAnswer: 23043865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -354, -542, -744, -966, -1214, -1494, -1812?\nAnswer: -2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -72.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**4 + 475*y**3 - 19040*y**2 + 162560*y = 0.\nAnswer: -127, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 2)*(-1 + 1 + 3*m**4).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoqo when four letters picked without replacement from {o: 3, q: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3050000 rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -577961796, -1155923595, -1733885394, -2311847193?\n\"Answer: -577961799*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 474.68 - 139969.3.\nAnswer: -139494.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*f**3 + 212*f**3 - 805*f**2 + 1608*f**2 - 803*f**2.\nAnswer: 329*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + (-14)\/8. Let a = 198 + -2180\/11. What is the second smallest value in h, -5, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/9 and ((-194)\/4)\/(17 + -48).\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3594258 divided by 2571\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680 = -5*p + 25*p. What is the third derivative of 15*g**4 + 70*g**2 + 18*g**4 + p*g**4 + 13*g**2 wrt g?\nAnswer: 1608*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**2 - 6077894*x - 16207760.\nAnswer: 2*(x - 1012985)*(3*x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1580709 or 0?\nAnswer: 1580709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*(sqrt(114) + sqrt(114)*-1) + sqrt(114) + (sqrt(114) + sqrt(114) + -1*sqrt(114) - sqrt(114))*-3))\/(3*5*sqrt(6) + sqrt(216)*-6 + sqrt(6)).\nAnswer: 3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 + 0.8. Let k = 13 - -5. Let g = k - 17. Which is the nearest to -0.1? (a) g (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from oggggoorgooro?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b0 (base 12) in base 5?\nAnswer: 10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58841 - 578?\nAnswer: 58252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7946290568+-0.5\nAnswer: -7946290568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2714646 and 1386?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1578 (base 10) to base 6\nAnswer: 11150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.89 + -21. Let g = i - -0.41. Which is the third biggest value? (a) 0.1 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 345*v**3 + 2*v - 2 - v - 3 - 5 + 4 wrt v?\nAnswer: 2070*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/593 + -4723\/4151. Let v = 90 - 63. Let n be ((-8)\/3)\/(-2)*v\/(-18). Is h not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3.83. Let u = -0.1 + h. Which is the second smallest value? (a) -2 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**(-16)\/((v\/v**(2\/9))\/v**(3\/2)) assuming v is positive.\nAnswer: v**(-59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16641964 is divided by 656.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**7\/21 - 1082*r**6\/15 - 291597*r**5\/10 + 293222*r**4\/3 - 293764*r**3\/3 + 2710*r. Suppose x(v) = 0. What is v?\nAnswer: -542, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*n - 2*n**3 - 8*n - 12 - 10*n wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k - 6*k + 18*k + 4*k + 13*k**3.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.29 + -0.25808.\nAnswer: 3.03192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 4*j + 3. Let k(b) = -b**3 - 6*b**2 - b - 3. Let x be k(-6). Let c be w(x). Solve -m = -2*r - 11, 4*r - 13 = -c*r - 5*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 248 = -227. Let q = -36 - w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5746?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 4*n + 5. Let v be x(2). Suppose -4*d + 72 = 3*h, 4*d - d = -v*h + 109. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13dd807 + 20?\nAnswer: -13dd7d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 16*u + 1. Let t be w(17). Let j = 20 + t. Solve -n = j*a + 21, -5*a - 2*n - 30 = -0*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 74*o + 67. Give v(-26).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 + 375*b**3 + 9015*b**2 + 73625*b + 172980 = 0. What is b?\nAnswer: -31, -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10825063 to the nearest integer?\nAnswer: 3290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1498.\nAnswer: -1\/749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5802 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24002, 23981, 23946, 23897, 23834, 23757?\nAnswer: 23666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1539) + 0 + sqrt(19)*1 + 1)*4)**2 - (-2*(-1 + sqrt(304)) + -1*sqrt(304)*2)**2*-6.\nAnswer: -304*sqrt(19) + 59609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x**2*x))\/x)**(-5)*x**(-1\/2)\/(x\/(x\/((x*x\/(x**(-1\/7)*x))\/x)*x)))\/(x**(2\/9)*x*x**(-1\/5)*(x\/(x*x**(2\/29)))\/(x**5*x)) assuming x is positive.\nAnswer: x**(281429\/18270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -13*a - 21. Suppose -t + 45 = a*t. What is the lowest common multiple of t and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d. Let o(q) = 8*q + 1. Suppose 2*l = 5*l - 6. Let x(v) = v**2 + 112*v - 2051. Let j be x(16). Give j*t(b) + l*o(b).\nAnswer: -5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 758 - 756. Suppose -k + 19 - d = 0. Solve 4*i - 24 = 3*o, k = 4*i + 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/2 and -41\/1076.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 172157117 + -1?\nAnswer: 172157116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 952.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 6*d - 4. Let g be k(-7). Let v be (-1 - 1)\/(g\/(-24)). Is 177*(1 - v\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 220, -23, 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-32))\/(2*2\/160)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 1. Let j(g) = -g - 16743 + 16743. Determine -j(s) - 5*o(s).\nAnswer: -4*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qyqtqqqyqq?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 7*q - 8*q + 21*q + 8037.\nAnswer: 3*q + 8037","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 1237 (d) -9 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqtk when four letters picked without replacement from {e: 2, r: 1, w: 2, t: 1, q: 2, k: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 3*m**2 + m - 2. Let j(a) = 28*a**3 - 17*a**2 + a + 2691. Let z(k) = -5*h(k) - j(k). Find the first derivative of z(p) wrt p.\nAnswer: -114*p**2 + 4*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8019 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9183 or 10020?\nAnswer: 9183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/(-88) + (-54)\/(-8). Suppose -2*j - 4 = -y. Calculate the lowest common multiple of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34682185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - 5 - -36) + -3*2 + 0\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgggcczgz. What is prob of sequence jggc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-174))\/(1\/3).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 + 2.1. Let h = -275.1 + 275.1. What is the third smallest value in h, v, -2.6, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186225 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 44, 0.5, -3\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/33 and -20\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 493aa - 1967?\nAnswer: 47643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3065*t - 214021 = -2183*t + 316027 for t.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -343, -355, -367, -379, -391?\n\"Answer: -12*p - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -5. Let c = 12 + 13. Suppose -3*n + 5*p + c = 0, 3 - r = -n + 2*p. Solve 14 = -o - 4*o - 2*y, 3*y + 6 = n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 259*k + 517\/2.\nAnswer: (k + 1)*(k + 517)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45a7396 (base 12) to base 10.\nAnswer: -13408098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u + 8*u + 62*u**2 + 89*u**2 + 3. Suppose d - 56 = -53. Let g be n(d). What is g rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.53, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4*r - 11 = 0, -p = 26*r - 21*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-6)*o*o)\/o)\/(o*o\/(o*o*o**14*o)*o))\/(o**7\/(o**(2\/61)\/o)) assuming o is positive.\nAnswer: o**(124\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 7500082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 2*c - 40 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 15. Let s(h) = h + 4. Let j(z) = 2*r(z) - 9*s(z). Calculate the remainder when 32 is divided by j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 19*u. Let r = 889 + -177. Suppose -6*a = -2*a - r. Let n(k) = k**2 + a*k - 178*k. Calculate n(j(c)).\nAnswer: 361*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 87. Let d be s(11). What is the common denominator of (-2)\/6 + 86\/12 and -2*(6 + (-427)\/d)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/((-6)\/84). Let f = b + 9. Solve -f*z + z = -4*l + 15, 7 = 3*l - 5*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 3*s**2 + s - 3. Let w = 99 - 103. What is h(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -690783161, -690783162, -690783163?\n\"Answer: -j - 690783160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -30962\nAnswer: -2\/15481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 8101000 to the nearest one hundred thousand.\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009294213 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-76)\/(-40) + 8\/80). Solve 2*w - 3*w - 3*r + 3 = j, 0 = -3*w - 4*r + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1006766?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/60)\/(14\/35).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, m: 5, p: 6}. What is prob of picking 1 m and 1 p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44779 is divided by 2254?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*a + 2331 = 0, -4*a - 32 = -36. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1 - 1 - 5 + x**3 + 2 + 3*x**2 - 3*x. Let u be (-1 + -1)\/(2\/3). Is t(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/90*(-4)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2730 + 1679 = 0. Which is greater: q or -1052?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*g - 52 + 60 + 50*g wrt g.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-15))\/(432\/(-80)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300331122 (base 4) to base 13.\nAnswer: -13279c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*g)*(-4*g + 4*g + g**2) - g**2 - g**2 - 528589*g**3 + 528613*g**3 + 11.\nAnswer: 22*g**3 - 2*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 221153826 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p - 15. Suppose 0 = -3*o + 18 - 48. What is the units digit of 2\/p + o\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 138 + -1 + 1 - (45 - 46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - f = 57, -36*t - 18 = -33*t - 3*f for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = 0, -q - g = -2*q + 8. Suppose -q*v + 27 = -2*v. Let u be (-1 + (-3)\/v)\/(-2). Which is the closest to u? (a) 8 (b) -2\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.806499 months to millennia.\nAnswer: 0.00131720825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 108 = 92 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/4 + 165*d**2\/2 + 5859*d\/4 - 47628.\nAnswer: 3*(d - 16)*(d + 63)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*r + 37958 = -2385 - 7339 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*f**3*r + 332238*f**2*r + 309175*f*r + 9*f wrt f.\nAnswer: -126*f*r + 664476*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d - 61*d - 60 + 21*d + 22*d.\nAnswer: -d - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0, -1, -0.2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p - 2. Suppose 26*l = 4*l + 110. Suppose p*a - 2*a - 10 = 0, -l*j + 50 = 3*a. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 30700*l**2 - 61415*l - 30710.\nAnswer: 5*(l - 6142)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7168721 (base 9) in base 2?\nAnswer: 1110100101110100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 780 by -5.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 471145 - 138637 = 22*r. What are the prime factors of r?\nAnswer: 2, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 45 (b) 1 (c) 31364 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*f + 4*m, 0 = -5*f + 2*m - 7 + 18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -555*x + 38*x**2 + 83*x - 41*x**2 - 174*x as a*x + u + c*x**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k = -42*k - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 + 1)*(3 - 6 + 1) - 2 + 3 - 3)*(-s - s - 19*s)*(2*s - 2*s - 2*s + (-4 - 1 + 3)*(2*s + 1 - 1) + s - s - s) to l*s**2 + j*s + x and give l.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2086*p**2*u**6 + 2*p**2*u + p*u - 60*u**2 wrt u.\nAnswer: -250320*p**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024315 (base 6) in base 10?\nAnswer: -50231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 597 + 87. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-774)\/(-31863))\/((-100)\/1300).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -0.25 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1723 + 1713. Sort 2, 2\/9, 0.1, 3, d in descending order.\nAnswer: 3, 2, 2\/9, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbtv when four letters picked without replacement from {w: 3, b: 2, t: 2, v: 4, z: 4}?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 65 - 22. What is the nearest to 0.2 in y, 3\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 19 - 14) + -62.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215040 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1767072077 to the nearest one million.\nAnswer: -1767000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-44) - 10\/6)*-3?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*n - 2 - 3 + 5.\nAnswer: 126*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y + 3. Let q(w) = -2*w**2 + 9*w + 2. Let c be q(5). Let z(f) = -28*f - 10. Calculate c*z(m) - 10*s(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 57*b**2 - 447*b - 60. Let j be q(64). Sort -529, 3, j.\nAnswer: -529, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/5)*k**(-2)*k)**1\/((k**(-1)*k)\/(k*k*k**(-2\/9)))**32 assuming k is positive.\nAnswer: k**(2461\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 1146 + 1554756226.8?\nAnswer: 1554757372.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Calculate the least common multiple of (-1 + 12\/3)*1 and 378\/105 - (-2)\/g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -1a442a228?\nAnswer: 1a442a231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 12:53 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 1.784 (c) 0.267 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.024 + -0.074. Which is the second smallest value? (a) 4 (b) k (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*j + 3*j - 124 = 0, 5*z - 319 = -4*j. Calculate the remainder when z is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 24 = -6. Let n be 0 + (-3 + 1 - 19). Let q = n - -43. What is the remainder when q is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 14*u + 7. Let o be l(-10). Let t = -130 - o. Which is greater: -98 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -98827451 to the nearest one hundred thousand.\nAnswer: -98800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02443950716 rounded to 6 dps?\nAnswer: 0.02444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97117285 to the nearest integer?\nAnswer: 9855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*w**3 - 159*w**3 + 56*w**3.\nAnswer: -290*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 23, 10, -3, -16?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 24. Let g(w) = 1 - c*w**2 + w**3 + 0*w**2 + w - 6. Calculate the remainder when 7 is divided by g(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*w**3 + 703*m*w**2 - 10*m*w - m - 24*w wrt w?\nAnswer: -6*m*w + 1406*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 5*c**2 + 2*c**2)*(c**2 + 5*c**2 - 4*c**2) + (-c**2 + 0*c**2 + 0*c**2)*(-276 + 276 - 32*c)*(-5 + 0 + 2)*(5*c + c - 4*c).\nAnswer: -194*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204451?\nAnswer: 13, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vuvvuuvvuvvvvuvvuv?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2712 (base 11) in base 8?\nAnswer: 6702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9462 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 4*l**2 + 3*l**2 + (0*l - l + 5*l)*(3 - 2*l - 3))*(8 - 4 + 4)*(-1 - 4 + 0).\nAnswer: 280*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3133.33552+44\nAnswer: -3089.33552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 d when three letters picked without replacement from vdvvmddvmv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:12 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 1034*n - 1037*n + 133, 0 = 4*n + 2*x + 48 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2890 by -10.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 7. Let s = 0.07 + 3.93. Let l be (4\/6 - 1)\/((-36)\/108). Put l, s, n in descending order.\nAnswer: s, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 564 and 112\/6 - 1520\/(-456).\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 579\/7 - 83. Which is the closest to s? (a) -0.1 (b) 2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1553 and -11.2302366.\nAnswer: 1541.7697634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 1:50 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - 0. Let d = -1 - l. Sort 0, 1, d in increasing order.\nAnswer: d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = -16 - 50 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*p + 14, -20 = 5*p - 6*p - 5*t. Suppose -2*w + 15 = -5. What is the lowest common multiple of p and 9\/(-15) + 86\/w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/5)\/f*f*f**(3\/38)*f assuming f is positive.\nAnswer: f**(319\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = -0*i - 125 - 91 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2384630275 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 5*z**2 - 19*z + 30. Let w be s(2). Solve 0 = -y + w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200956 divided by 3?\nAnswer: -200956\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518431, 2073793, 4666055, 8295211, 12961255, 18664181?\nAnswer: 25403983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140455369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -89391565.1 to the nearest ten thousand.\nAnswer: -89390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -91. Let c = d + -56. What is the second smallest value in 0.4, -3, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/240*(-12400)\/5270\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 290, 519, 850, 1319, 1962, 2815?\nAnswer: 3914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6877, 13848, 20897, 28060, 35373, 42872, 50593?\n\"Answer: 6*m**3 + 3*m**2 + 6920*m - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6483936\/3699)\/493)\/((-2)\/(-27)*-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2844\/234 - 15 - (-2)\/(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m**3 - m. Let c be ((-80)\/12 - -6)\/(2\/(-3)). Give z(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10205*c**4 - 3*c + 210 wrt c.\nAnswer: -122460*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/36)\/(8\/12)*2. Which is the fourth smallest value? (a) u (b) -1.4 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, i: 2, l: 1, n: 4, b: 4}. What is prob of sequence bbuu?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101112102 + 11111?\nAnswer: -101100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 555 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -5*f - 56. Suppose -20*d + 16*d + f = 0. Calculate the remainder when 82 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212222222 (base 3) in base 9?\nAnswer: -25888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.095 - 14.525. Let j = -13.7 - p. Round j to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5)\/(u\/(u\/((u*u**(-6))\/u))))**(1\/18) assuming u is positive.\nAnswer: u**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1100)*3.\nAnswer: 4 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -312\/1471?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98022798?\nAnswer: 2, 3, 67231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202520500.\nAnswer: 2, 5, 7, 13, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 18. Suppose 0 = -5*i - n + 5, 5 = 10*n - 9*n. Which is greater: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0.3 (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1502907 (c) 1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -66 - 71\/(5467\/(-5170))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p + 309 = b, -p - 949 = -3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23924518 and 2014.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -5. What is the highest common factor of 136 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - b**3 - 2*b**3 - 1643*b**2 + 3*b + 1641*b**2 to v + a*b**2 + x*b + y*b**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - -78) + -99 - -40.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 485\/2607 + -1\/237. Sort 2, r, 4 in decreasing order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.048, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c*d*x**3 + 44*c*d*x + 7*d*x - 30*x**3 with respect to c.\nAnswer: 5*d*x**3 + 44*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -41*y**2 - 44*y + 121. Let v(n) = -8*n**2 - 8*n + 24. What is -2*u(m) + 11*v(m)?\nAnswer: -6*m**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 629411 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8487.7*2935\nAnswer: -24911399.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504, 595, 686, 777, 868?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752529*y = -752526*y - 4*m + 91, 5*y - m + 44 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o + 2. Let k be b(7). Suppose 9*r - 4*r - k = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -380, -563, -752, -947, -1148, -1355?\n\"Answer: -3*c**2 - 174*c - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 0, -4, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20786880\/227 + -91572. Let i = j + 20369\/1816. Let o = -2\/299 - -5701\/2990. What is the common denominator of i and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124247346, 248494689, 372742032, 496989375, 621236718, 745484061?\nAnswer: 869731404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -36 and -38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4409\/784 + 150\/49. Let l = 2\/1623 + 69533\/207744. Find the common denominator of v and l.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 143*l**2 - 35*l - 63. Is g(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3326, -3\/7, 2\/3 in ascending order.\nAnswer: -3\/7, -0.1, 0.3326, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:05 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t - 4 = 0. Let a(j) = 5*j**3 + 2*j - 1. What is the units digit of a(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 18699c?\nAnswer: -1869a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 454775 and 7595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/9 - 402952*u\/9 - 20296289288\/9 = 0.\nAnswer: -100738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*sqrt(130))\/((sqrt(80) - (-1*sqrt(80) - sqrt(80)))\/sqrt(8) - sqrt(10)) - 6*(1 + sqrt(104)\/sqrt(8) - (sqrt(13)*3)**2*-5).\nAnswer: -3516 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.37 + 0.03. Let u = -0.08 + -4.92. Let d = u - -4. Which is the second smallest value? (a) 3 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c**3 - 15*c**3 - 14*c**3 + 45*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1426 = -297*k + 4828 - 17 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10720963\/105 at most as big as -102105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/((-528)\/22))\/((-3)\/102).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -891.3125 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 25*q**2 + 13*q - 13. Let g(a) = -12*a**2 - 6*a + 6. Determine -13*g(n) - 6*o(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*j - 5*w + 2, w = 5*j + 23. Suppose -2*b - 48 = -5*s, -2*s + 0*b - 4*b = 0. Let n = s + j. Solve -12 = t + n*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*y**4*z**2 + 2*y**2 - 70*y*z**3 - 5090*z**3 wrt y?\nAnswer: 64*y**3*z**2 + 4*y - 70*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**3\/3 - 54. Let f(q) = 11*q. What is f(r(a))?\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2461408 to the nearest 1000.\nAnswer: -2461000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - (-9 + 36))\/(-2 + 1) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**2 + 223*d - 223*d + (1 - 1 - 2*d)*(-4*d + 6*d + 2*d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -996, -977, -962, -951, -944?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*x + 15, -5*m + 2*m + 11 = -x. Suppose -m*i + 9 = -11. Suppose 83 + 17 = i*w. Solve 0*h = -4*h + w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-330)\/270 - 5\/(-4). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2. Let m(q) = -q + 1. Let p(r) = -11*r + 3. Let v(t) = 3*m(t) - p(t). Determine h(v(k)).\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6 - (-1)\/(-3))*1. Solve y - 4 = -s*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (-1 + -2))\/(-2). Let g(n) = 2*n**3 - 5*n**3 + 1 + v*n**2 + 8*n**3 - 3*n**2. Let t be g(1). Solve -t*b + 20 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2, -3*k - 11 - 6 = 5*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -245*j**2 + 486*j**2 + 7 - 249*j**2 - 8*j. Suppose -2*m + 8 = 34. Let k(o) = -17*o**2 - 17*o + 15. Suppose -5*y + 0*y + 30 = 0. Give m*l(a) + y*k(a).\nAnswer: 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173806 and 3478.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -736, -709, -670, -625, -580?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -4, 19, 58, 119, 208, 331, 494?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1239 + -1243. Which is the nearest to 4? (a) -7 (b) t (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 7:15 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012303523 to seven decimal places.\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 6*k + 824 = 860, 3*c = -k - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(-44)*((k\/(k*k**(-2\/9)*k*k))\/k*k)**(-1\/12))**7 assuming k is positive.\nAnswer: k**(-2744\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/48*(15\/(4 + 1) - 78)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -12*i**2 + 4*i + 4. Let u(j) = -j**3 - 4*j**2 + 16*j + 53. Let q be u(-5). What are the prime factors of y(q)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -7. What are the prime factors of 182\/12 - a\/(-18)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(31\/341 - (-87)\/(-231)). Solve 0 = -2*a + 2*u - 2, a + 5*u + 13 - d = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7513?\nAnswer: 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 27*q**6\/160 + 207*q**5\/80 + 193*q**4\/48 + 7*q**3\/3 + 857*q**2. Find y, given that l(y) = 0.\nAnswer: -7, -4\/9, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800000 = t + t. Round t to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 49 = 4*n - 2*t, -4*n + 3*t + 211 = 0. Let b(m) = -m - 50. Let v be b(0). What is the remainder when n is divided by ((-12)\/10)\/(3\/v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/5*t**2 - 3\/5*t + 0 - 3*t**5 + 18\/5*t**3 + 12\/5*t**4 = 0. What is t?\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uufukkfponon. What is prob of sequence nu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-36) + 13\/18. Let r = -3240935\/66 - -49106. Let q = r + -12\/11. What is the closest to 2 in q, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let n(c) = c. Let j(b) = n(b) - 2*t(b). Let w(r) = -2*r. Let i(q) = j(q) - w(q). What is i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 2, u: 1}. Give prob of sequence gvg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(84280\/(-180))\/43.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*j - 2*j. Let m = 3 + j. Let f = 2 + 12. What is the remainder when f is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*b - 13, -9*x + 5*b = -6*x + 11. Let d be (8\/(-164))\/(-2 + x). Is 1 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*c**2*g**2 - 2*c**2*g*q + c**2*g + 3*c*g*q + g**2*q - 3*g*q wrt g.\nAnswer: -118*c**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31587 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -b - 5, 0*b = -3*d - b + 3. Solve -22 = -f + 5*n, -2*n = 6*f - 10*f - d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -11) + -22 - -27.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056316 to seven dps.\nAnswer: 0.0000563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*h = 103*h - 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 81\/4 of a meter?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20168 or 11\/127?\nAnswer: 11\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 62 = 5*a. Calculate the highest common factor of 40 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16898311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 71 = 5*r, -2*r + 105801 - 105854 = 2*r + 3*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -9 - (0 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 264856.\nAnswer: 11\/132428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 7*o + 7. Let k be z(-6). Calculate the common denominator of 22\/9 and (0 - k) + (-47)\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5614071?\nAnswer: 3, 139, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 112201200011012?\nAnswer: 112201200011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(165\/(-40) - -4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -949482?\nAnswer: -3797928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*c + 799995 = 0, -4*s + 3*c - 2280786 = 919227. Let d be 3\/12 + s\/4. What is d rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*k + 13 - 8 - 7 to w + v*k and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 14 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185.98 * 6.31.\nAnswer: 1173.5338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*f - 7*f - 10 = 0, c = f + 2. Let i be (1 - c)\/(-12*10\/(-400)). Which is bigger: i or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 85, -4, -1\/2 in descending order.\nAnswer: 85, -1\/2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6)*-1 - sqrt(6)) + 3 - (-1*sqrt(117) + -1).\nAnswer: 4 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*10\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1128810 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3 + 0 + 4*h - 3 + 1. Is t(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 196 + -204.1. Let m = 7.1 + t. Put -5, -0.7, m in ascending order.\nAnswer: -5, m, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -19 - 0 - 2 - 33?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:41 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q + 33. Let n be l(-4). Let f be (5\/(-20))\/(n\/(-24)). Solve -3*m = 5*v - 19 - f, -15 = -3*v + 3*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/243782 and 43\/6?\nAnswer: 731346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*t**2 + 86 - 193 + 107.\nAnswer: -335*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 less than -326512?\nAnswer: -326803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -36. Let i = 21 - 46. Let x = a - i. Calculate the highest common divisor of x and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-3)*(-5)\/50 + -2. Sort 0.3, 8, -2\/17, r.\nAnswer: r, -2\/17, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/3374 and 5\/880132.\nAnswer: 6160924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1990024055 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 339258507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24962005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17168 and 6?\nAnswer: 103008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (0 - -3)\/3. Suppose -3*i - u = 4. Let c = 8 - i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -25*v**2 - 50*v - 55. Let h(m) be the first derivative of 2*m**3\/3 + m + 22. Let f(n) = -10*h(n) - y(n). Suppose f(r) = 0. What is r?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19680 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/11 + 26\/11*v + 6\/11*v**2.\nAnswer: 2*(v + 1)*(3*v + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339637 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1688 - -1777. Solve -113 = -6*q - r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47914 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4, 1.5, 5, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 121, -8 in increasing order.\nAnswer: -8, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 114?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 7096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3324229 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*c + 6*c = 15, -y = c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5613527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 4*l - 26 = -9*b + 18, 242 = 14*b + 5*l for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112435838, 112435839, 112435840?\n\"Answer: l + 112435837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9437*-4.\nAnswer: -3.7748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 48, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 12. Let r be m(-6). Let v = -54 + 73. What is the remainder when v is divided by 63\/r*4\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) 444.3 (c) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 85 and 2656793802?\nAnswer: 2656793717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-2 + sqrt(2) + -1)) + -3 + sqrt(32) + -2 - ((0 + 2*sqrt(200) - sqrt(200)) + (sqrt(200)*1 - sqrt(200))*-4).\nAnswer: -6*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3873262 + -645370. Suppose -f + 15463892 = -23*h. Round h to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39409, -80016, -120623, -161230?\nAnswer: -201837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 5*u**2 + u - 1. Let y be k(-5). Let n(f) = f + 6. Let c(r) = -r - 5. Give y*c(q) - 5*n(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/3 - 94*i**3\/3 - 334*i**2 + 1294*i\/3 + 2204\/3 = 0. Calculate i.\nAnswer: -29, -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214407\/7 + 30657. Factor 144\/7 - v*j + 52\/7*j**2 - 4\/7*j**3.\nAnswer: -4*(j - 6)**2*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, -0.111475 in descending order.\nAnswer: 15, 0, -0.111475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (6 + (-5 - 8))) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 + 137. What is the derivative of -38*q**2 - l*q**2 + 3 + 33 + 11*q**2 wrt q?\nAnswer: -116*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u + 2*m - 16 = 0, -5*u + 36 = m. Suppose 0 = 2*t - 8, -4 - u = k - 5*t. List the prime factors of 42\/(-4)*(-6)\/k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 109\/50, 3, -10, -1\/8, 0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 31*x - 4. Let t be o(31). What is the tens digit of -1*((-253)\/4)\/(t\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 + -90. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-19)\/(-10) + 0. Let o = -19 + 23. Let s = -4 - -9. Sort o, v, s.\nAnswer: v, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01671 and -27154.\nAnswer: 453.74334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - b**3 + b**3)*(0*b + 2*b - 3*b)*(-3 + 1 + 0).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -2\/565, 2.5 in decreasing order.\nAnswer: 2.5, -2\/565, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -635805*j**3*y**3 + 276*j**3*y + 18*j**3 + 2*j**2 - 1554*j*y - 62*y**5 wrt y.\nAnswer: -3814830*j**3*y - 1240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*d - 112 = 0, 5*t - 4*d = -2644 + 2785 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 1, l: 1, e: 5, c: 3, v: 3}. Give prob of picking 1 z, 1 e, 1 h, and 1 v.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 79*y + 53. Suppose 2*u - 20*u + 54 = 0. Does 29 divide m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -19*n - 7. Let p(x) = -6*x - 2. Let d(u) = 14*p(u) - 4*z(u). Let j(f) = 4*f**2. Determine j(d(s)).\nAnswer: 256*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24232 (base 5) in base 12?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004401954983 to seven decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94029777 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/109 or 55?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.3 (b) -4 (c) 11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.32 + 1.68. Let q be 192\/14 + (-18)\/(-63). Suppose -q*c + 12*c - 8 = 0. Put 6\/11, l, c in descending order.\nAnswer: l, 6\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6192555 plus 7341357?\nAnswer: 7341353.3807445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.2 - 0.2. Let u be ((-12)\/360)\/((-1041)\/(-1038) + -1). Let p = 56\/5 + u. What is the third smallest value in v, -4, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*a + 9115 = 0, -9316 = -4*g + 2*a - 2026. List the prime factors of g.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (10 - -5 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 249\/(-18260)*11*-300?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(8)\/sqrt(4)*2*2)**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28753 and 21.3.\nAnswer: 612438.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.048 and 728.655.\nAnswer: 728.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 10:15 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -807*j - 222. List the prime factors of m(-10).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.43, 1, -0.02?\nAnswer: -2.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + 4 - 3 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 + -6 - -4) + 21 + -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/5)*y)**6*y**(3\/2)*y*y*(y*y*y\/y**(-2\/25))\/y)**(-18))**(-27) assuming y is positive.\nAnswer: y**(199017\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/((-7040)\/(-32)))\/((-7)\/2*2).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**8\/840 + m**5\/40 - m**3\/6 + m. Let d(x) be the second derivative of k(x). Find the second derivative of d(b) wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000000011 (base 2) to base 10\nAnswer: -2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14324 and 25067.\nAnswer: 100268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (4 + -7) - 6 - 6) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8678563 + 17600315 = 0. Let r = 37134283 - o. Suppose -r - 744610 = 4*p + 5*d, -4*p + 5*d = 11599985. Round p to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 673804928?\nAnswer: 673804928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 - 5*q - 2. Let a be w(-2). What is the common denominator of 5\/7 and (344\/a*(-6)\/(-8))\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 7. Let y = 25 + -30. Let o be g(y). Suppose -3*p - 6 = 0, 0*f - 2*p - 104 = -o*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -200, -400, -600, -800, -1000?\n\"Answer: -200*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (-12 + 25)) + (1 - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3141 - -631343\/201. Which is the biggest value? (a) -3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85829266 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*z + 5663. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 10. Let k be m(15). Suppose b - 6*b = -k. Suppose -r + 8274 = b*t, 2397 = -5*t + r + 10673. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/(-18))\/28*22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1025, -2047, -3069, -4091, -5113, -6135?\nAnswer: -7157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - (-1820)\/(-8))*2\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -9. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2323, 2448, 2559, 2650, 2715, 2748, 2743?\n\"Answer: -y**3 - y**2 + 135*y + 2190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3382100, 3382103, 3382106, 3382109?\n\"Answer: 3*k + 3382097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6625.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 52*q - 67. Let u(c) = 109*c - 139. Determine 9*i(j) - 4*u(j).\nAnswer: 32*j - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 - 102. Solve -11 + h = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjoooj. Give prob of sequence oo.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, j: 15}. What is prob of sequence zjz?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -1, -12, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -490777.4 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/13 - 99\/65. Let m = 0.065 - 0.177. Let i = 1.888 - m. Sort i, t, -6\/11 in descending order.\nAnswer: i, -6\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1659*b**3 - 11002789978 + 11002789978.\nAnswer: 1659*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -458 and 7.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s + 2*s - 2*s)*(-137*s**2 - 39*s**2 - 52*s**2) + (0*s - s + 3*s)*(-2*s**2 - 3*s + 3*s).\nAnswer: -2740*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2592 - 180. What is the highest common factor of 36 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*y + 5, 0 = 4*n + y + 98. Is 2\/1*(-5388)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -7*q**8\/240 - 3*q**7\/10 - 347*q**6\/600 + 7*q**5\/60 + 4*q**4\/5 - 2*q**3\/3 - 5*q**2 + 6. Determine j so that g(j) = 0.\nAnswer: -5, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -1253, -2701, -4699, -7247, -10345, -13993?\nAnswer: -18191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from ijcyjijjiiyiyji.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + 4*p + 210 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 148 = -4*z, 2*z + 71 = 4*z + x. Calculate the greatest common divisor of z and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 5) in base 10?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4514084, -18056340, -40626766, -72225362, -112852128, -162507064, -221190170?\n\"Answer: -4514085*f**2 - f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2144\/(-67))\/32*4\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = -p, 5 = 5*y - 3*p - 14. Solve y*n = 0, -2*v + 2 = 7*n - 3*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 350\/15*-9*(-18)\/(-4). Let a = w - -1337. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 540.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -12*a**3 + 4*a**2 - 78*a - 13. Is n(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**8\/336 - 25*i**7\/14 + 1385*i**4\/24 + i**3\/3 + 333*i**2 + 3. What is the second derivative of t(x) wrt x?\nAnswer: 20*x**3 - 4500*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217 + 219. Factor 7*i - p*i - 9*i + i**2 + 3.\nAnswer: (i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365002343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 6*k - 9*k**2 + 6*k as m*k + f*k**2 + p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5993, 23982, 53963, 95936, 149901, 215858?\n\"Answer: 5996*y**2 + y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -921203.9 + 718.6?\nAnswer: -920485.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 - 4.29. What is t rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20104 - -1124?\nAnswer: 21233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -74, -160, -270, -398, -538, -684, -830?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22390128?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.19, 171\/5, 0.1?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7659803 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:15 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a - 24*a + 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 10:48 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/48 and -51\/62409008.\nAnswer: 187227024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*24*8\/480.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = -5*m. Suppose 392 = m*o + r, 5*o + 6*r - 507 = 9*r. What is the greatest common divisor of o and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 12*r - 2. Suppose 0*l = -5*l + 5*x + 60, -4*l + 2*x + 50 = 0. What is the smallest common multiple of 2 and p(l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225150 and 83661000.\nAnswer: 1589559000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7103491 + 7103491.014294709. Let x = -0.01429 + o. Round x to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 2 - 7 - 4)*(-4*c - 4 + 4)*(3*c + 2 - 2).\nAnswer: 12*c**4 + 156*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 5752.\nAnswer: -1\/1438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 4 + -3 + 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 + 100. Suppose 0 = -t*p + 11 + 1. Let b(r) = 418 - p*r - 418. Let x(d) = -8*d**2. What is x(b(o))?\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 360042 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -47*d**7\/42 - 2*d**5\/5 + 3301*d**4\/12 + 8*d - 402. Find the third derivative of r(f) wrt f.\nAnswer: -2820*f**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 6 = 2*m, -l + 2*m - m = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141454991 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*60\/(-250))\/(123\/(-820)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -0.345707?\nAnswer: -0.345707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000373013 to six dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -51. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(5\/2)\/p*p)\/(p*p**(-1\/2)))\/(p**(2\/7)*p\/p**2) assuming p is positive.\nAnswer: p**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -9, -20, -35, -54, -77?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2448*48 + (-94)\/204.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -2020110?\nAnswer: -2020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773735 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-132) - (2 + (-105)\/54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -101*g - 63. Give c(4).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let c = 3 + z. Suppose 2*y + c = -0*y + 5*p, -5*y - 4*p = -70. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6996 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 2. Let f = y - -9. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25\/14 + -9\/7. Suppose -o + 16 = -9. Suppose 0 = -5*y + 5*v + o, 3*y + 2*v + 0 = -5. Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111\/(-37))\/((9\/23)\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48.1 - -48.2. Let v = 2.2 - -0.8. Let o = -106 - -104. Which is the nearest to o? (a) y (b) v (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/2*(3 - -2). Suppose 0 = y*m - 3*n + 116 - 18, 4*m + 104 = -4*n. Let g be (0 + 34)\/((-4)\/m). What is the greatest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5170664 is divided by 915?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**3\/6 - 3*g. Let p(h) = 3. Let u(v) = -v - 26 + 24 + 2*v. Let m(o) = 2*p(o) + 3*u(o). Calculate m(k(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*b + 121*b - 280*b.\nAnswer: -305*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17652231 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6220734*d*o**5 + 227*d*o**2 - d*o + o**6 - 150*o**2 - o + 3 wrt o.\nAnswer: -373244040*d*o**2 + 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 206341, 1 in ascending order.\nAnswer: 1, 12, 206341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -1122?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.2. Let d be 3 + (-52871)\/(-21) + (-4)\/6. Let z be 2\/15 + (-966)\/d. What is the third smallest value in z, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10389719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.92 + 0.08. Let i = 0.9 - c. Sort -1, 2, i.\nAnswer: -1, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63113 is divided by 4738.\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 810 + -160. Suppose -n = 3*p - q, 5*p = 4*n - 0*p - 2532. What is the remainder when n is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1 + 4*p + 0 + 1. Suppose -9 = -l - 0*l. Let g = l + -7. Give z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 31)*2\/(-2). Let s = 19 - d. Calculate the smallest common multiple of s and 22.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:12 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -0.32. Is q greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/5 + 0)*(-3)\/(-2). Put -0.3, 2, 8, c in descending order.\nAnswer: 8, 2, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + -3 + (8 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13437 - 13435. Solve g = -4*w - 4 + 17, 0 = -5*g + u*w - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - r - 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = 5*m + 363. Let o = m - -283. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) - (-63)\/2. Let z = -228 - -206. Let u = h - z. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -487, -445, -403, -361, -319?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -339 - -492. Suppose 17 + 43 = 5*p. What is the least common multiple of 18\/s + 746\/17 and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0 + (-4 - 4 + 6)*(1 + 0 - 4))*(-23*g + 14*g + 8*g + 6) in the form r*g + a and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*t + 138, -5*z + 163 = -4*t - 149. Suppose 5*r + j - z = -3*j, 3*j - 4 = -r. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 10 = -6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 1. Let y(j) = 7*j - 4. Let d(q) = -q**3 - 5*q**2 - 8*q - 1. Let l be d(-3). Determine l*b(k) + y(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5 times 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -21, 0.05346?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 2*f - 3*f. Let k = -25 - -17. List the prime factors of s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hahhhhhhhaahhaahahh. What is prob of sequence haah?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - -10. Suppose 3*x - y = -x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h + 40 = 0. Calculate the remainder when 19 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 2. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) -0.7 (c) -4\/11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13)*4 + 5 + sqrt(1053) - (-2 + -1*sqrt(13) - (-1 + sqrt(1573)))*5.\nAnswer: 9 + 73*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5132 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from zzdzddz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 94895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 20 = -7. What is the nearest to 6 in n, -1, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*l - 604, -w + 4*l - 25 = -137. Suppose 5*d + 15 = 10*d. Suppose -6*t + d*h + 69 = -2*t, 5*t + 3*h = w. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*l - 14664 = 97*l + 129*l + 2100 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3553 is divided by 1765?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2\/20) + (-13817)\/(-70770). Which is the second biggest value? (a) 0.08 (b) -12\/7 (c) r (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 6*t + 9. Let h be k(7). Suppose -18 = -h*i - i + 2*m, -7 = -i + m. Let o = 0.02 + -3.02. Which is the nearest to -1\/3? (a) i (b) 1\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and 46417.4.\nAnswer: 6962.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 4 - 3*r - 2)*(1 - 1 - 6).\nAnswer: 12*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - 87. What is the units digit of (-16950)\/(-66) + j\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*p**2 + 3*c**3 - 348*c**2*p**2 - 69*c**2 - p**2 + 3*p wrt p.\nAnswer: -4*c**3 - 696*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(12\/5)*n*n**(1\/5))**(-14) assuming n is positive.\nAnswer: n**(-252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8140, -8117, -8082, -8035, -7976, -7905?\nAnswer: -7822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -9*h + 104. Suppose f = -4*g + 17, f - 2*g - 10 - 7 = 0. Suppose -a + 22 = -f. What is the highest common factor of a and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*i - 27 = -56*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/17 - 10*l**3\/17 - 14*l**2\/17 - 6*l\/17.\nAnswer: -2*l*(l + 1)**2*(l + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-15)*h\/((h**(-39)*h)\/h)*h*((h\/h**7)\/h)\/h**(-8\/7) assuming h is positive.\nAnswer: h**(358\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(75) + sqrt(75)*4 + sqrt(75)) - sqrt(75))\/sqrt(3))\/((sqrt(4860)*3)\/sqrt(12)).\nAnswer: -31*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.03 - -23. Let w = -8.03 - t. Let j be (2\/(-22))\/((-2)\/4). What is the biggest value in w, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11216025661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 2:28 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*s - 59, -3*i + i - s + 41 = 0. Suppose -6*q - 36 = -2*q. Let g = i + q. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12072738.\nAnswer: 2, 3, 2012123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33709.6 + 28837. What is q rounded to the nearest ten?\nAnswer: -4870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 9*i**2 - i + 14. Let w be p(9). Solve -a + w*r = -0*r + 10, 5*a + 2 = r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.142924 milliseconds in nanoseconds?\nAnswer: 1142924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(60)\/sqrt(6)) + -5 - (3 + (-3 + sqrt(720))**2).\nAnswer: -737 + 73*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 n when three letters picked without replacement from rzrzfdrzurrznrnz.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) + (-4)\/((-48)\/18). Let f(z) be the first derivative of -5\/4*z**4 + 3 + 2*z - 3\/5*z**5 + 1\/3*z**3 + d*z**2. Factor f(l).\nAnswer: -(l - 1)*(l + 1)**2*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2099*c**3*i**3 + 872*c**3 - 2*c**2*i**2 wrt i.\nAnswer: -12594*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/197? (a) 4\/17 (b) 0.4 (c) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Suppose -4*z + 2*o + 10 = 0, -3*z - 2*o - 2*o + 2 = 0. Let g be ((-1)\/2)\/((-7)\/42). Sort j, z, g in ascending order.\nAnswer: j, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3292970962.\nAnswer: 2, 313, 5260337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*(-3)\/(-2))\/(3\/6). Suppose t*j = -4*y + 25, 10 + 4 = -2*j + 5*y. Suppose -k + 360 = 4*k + n, 2*k = j*n + 144. 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: Calculate the remainder when 20724277 is divided by 430.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5 - 10*x**2 + 10*x**2 + 2*x**3.\nAnswer: -2*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-3 - (-2)\/1). Let t(f) = -6*f + 38. Let i be t(-7). What is the highest common divisor of i and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 5 - (0 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1526 divided by -7\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -6, 4, 22, -5.\nAnswer: -6, -5, 4, 22, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pajjtpjapppp. What is prob of picking 2 j and 2 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 64 - (49 + -79 + 47)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 + 4. Let b(x) = -x**2 - 1. Suppose 39*r = -26 - 13. Suppose -2*v = -3*v - 4*k - 23, -v = -4*k - 17. Determine r*f(a) + v*b(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/12 - 3*i**3\/2 + i**2\/2 - 352*i. Determine k(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 2*c**5 - 4*c**2 + (0 + 2*c**2 + 0)*(10*c**3 - 85*c + 85*c).\nAnswer: 22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -32. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4617\/6 - (-18)\/(-12). Suppose 2*w + 1882 = 5*r, r + r - s = -3*w. Is r a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:25 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 77\/2 of a kilogram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n + 60. Let k(a) = 17*a + 119. Calculate 6*k(d) - 11*x(d).\nAnswer: 3*d + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/760 and 53\/456?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92339047 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 14*x**2 - 21*x + 289. Determine l(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -88, -4, -0.3, -1\/1445 in increasing order.\nAnswer: -88, -4, -0.3, -1\/1445, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 169*i**3 + 74 + 363*i**3 - 36 - 199*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 1990005 + 864187. Let y be k*-62 + -68 + 62. Round y to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -429.61 + 52.31. Let y = 357 + c. Round y to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20111010022 - -212?\nAnswer: -20111002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 175 = 4*y - 3*t, 2*y - 83 = 5*t. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 455349823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, f: 15}. What is prob of sequence fjff?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/350)\/((1\/24)\/(15\/(-12)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f**2 - 265*f - 1320. What is the remainder when l(-5) is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + -0.44. What is the third smallest value in -9, s, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -622*s**2*x*z**2 + 5*s**2*z**3 + 2*s*x*z**2 - 4*s*z**3 + 10*s*z + 3*s + 46*z**3 wrt s?\nAnswer: -1244*x*z**2 + 10*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 402\/(-31423)*(-21)\/9. Let k = -3 - -3.1. Is m at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y = 7*y + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30486.\nAnswer: 2, 3, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 126175\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3556115 (base 8) in base 11?\nAnswer: 605785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165125 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**6\/120 - s**5\/10 + s**4\/4 - 2*s**2. Let j(o) = 6*o**2 - 31*o + 9. Let a be j(5). Determine c(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4728\/19 + 87061\/342. What is the common denominator of s and -2 - 1\/(153\/(-501))?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-3))\/(486220\/187542))\/((-8)\/7)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146724339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k - 4. Let b(m) = -9*m + 5. Let h(z) = -4*b(z) - 5*q(z). Let g(a) = -27*a + 2. Give h(g(s)).\nAnswer: -27*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 10. Let g = i - -16. What is the closest to 1 in g, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63847173 to the nearest integer?\nAnswer: 7990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5*5\/(125\/20) + 2250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 5*v - 3. Let p be (0 + -1)*9 - 15\/(-5). Let f be l(p). Let c(d) = d**3 - 5*d**2 + 3*d + 2. Give c(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*u + 93*u - 42 = 0. Sort u, -3, -1\/7 in ascending order.\nAnswer: -3, -1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2444 less than 93947368?\nAnswer: 93949812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29444 and 1884?\nAnswer: 13868124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3\/2 (b) -2 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 10. Let a be k*2 - (-20)\/(-5). Suppose -3*f = -q - 3 - 13, 4*f - 4*q - 24 = 0. Solve f*x - x = a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*7*(-14)\/(-392).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 10:22 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u**2 + u + 3. Calculate the lowest common multiple of x(-1) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -4 (b) 34 (c) -19636\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let f = y + -3.6. Sort -2, 5, f.\nAnswer: -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**8\/28 - 19*f**5\/60 - 14*f**2. What is the third derivative of g(m) wrt m?\nAnswer: 720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 21. Let t = o - 26.2. What is the closest to -0.1 in t, -3, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*z = -z + 60, 3*g - 57 = z. What is the lowest common multiple of 806 and g?\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19691083 divided by 1158299.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43836, -2, -5, -56, 5, 4, -4.\nAnswer: -56, -5, -4, -2, 4, 5, 43836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94133.13l to millilitres.\nAnswer: 94133130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592 = -745748*h + 745732*h for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 2. Let l(z) = 171*z**3 - 224*z + 12. Let p(d) = l(d) - 6*y(d). What is the second derivative of p(m) wrt m?\nAnswer: 1026*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23*92\/8464)\/((-5)\/(-2)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41798*0.3.\nAnswer: -0.125394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)\/((l\/l**(-2\/13))\/l)*(l*l\/(l\/(l**1*l))*l)\/(l*l**(-7)*l)*(((l**(-5\/2)*l)\/l)\/((l\/(l\/(l*(l*l**1)\/l)*l))\/l))**(-2\/33) assuming l is positive.\nAnswer: l**(857\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -1\/6*l**4 + 0*l + 11*l**2 + 0 - 3\/10*l**5 + 0*l**3 - 1\/35*l**7 - 1\/6*l**6. Determine n, given that p(n) = 0.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(3)*2 + sqrt(3)) - (1*-2*sqrt(35) - sqrt(35)))\/(-1*sqrt(80)*5 - (4*((sqrt(80) - 2*sqrt(80)) + sqrt(80)) - sqrt(80))).\nAnswer: -5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 3:05 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/360 + 7*y**5\/120 - y**4\/6 + 5*y**3\/6 - 9*y**2. Let p(i) be the first derivative of a(i). What is p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -212*k + 12. Let l be (-6)\/(-3) - 9\/3. Let m be g(l). What is the highest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1104\/483)\/((-10)\/(-3)). Let j(z) be the first derivative of c*z**5 + 0*z - 16\/21*z**3 - 8\/7*z**2 - 6\/7*z**6 + 11\/7*z**4 - 11. Factor j(d).\nAnswer: -4*d*(d - 1)**2*(3*d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9358482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 + f + 1. Let x be v(5). Suppose 5*d - x*d - 5*r = 17, 0 = 5*d - r + 7. Let k = d + 3. What is the smallest common multiple of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -s + 95. What are the prime factors of s?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/11 + 50*h**4\/11 + 230*h**3\/11 - 1010*h**2\/11 + 1120*h\/11 - 392\/11.\nAnswer: 2*(h - 1)**3*(h + 14)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + j = 2, 5*y - 4*j = j + 30. Suppose -y*x + 35 = z, 2*z - 4*x = -7*x + 75. What is the least common multiple of 5 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 11*r + 6. Let v be m(13). Let q = v - -26. Let o = 40 - 31. What is the greatest common factor of o and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -21.4096369.\nAnswer: -17.4096369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*b + 940 = 0, f - 187 = -2*b + 7. Calculate the highest common divisor of 1222 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 289\/47 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100345 (base 12) to base 8.\nAnswer: 746745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6130 - 7633. Which is bigger: x or -1505?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 469113 divided by -156371.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1807 = 165*y - 26*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -39*h + 170. Determine c(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (2 - 4)) + 2 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + 10. Let u(h) = 1. Give m(w) - 3*u(w).\nAnswer: -4*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -111. What is the nearest to x in 1\/4, 4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*r**2 + 38*r**2 + 61*r**2 in the form z + i*r**2 + x*r and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12200*w**3 - 24397*w**2 - 6*w.\nAnswer: w*(w - 2)*(12200*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6*(-121)\/(-33)*22 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1.7, -0.7 in increasing order.\nAnswer: -0.7, 0, 1.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 12 - (1 - (4 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 14*h**2 - 41*h + 26. Let f(i) = -5*i**2 + 14*i - 9. Let o(b) = -17*f(b) - 6*m(b). Determine o(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 1137 + 1128. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 46*y - 29. Let n be k(3). Let t = 113 - n. Let l(c) = 12*c**2 + 2*c - 1. Calculate the least common multiple of t and l(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6923 divided by 989?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 10:51 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/43859 - -1924924\/26710131. Find the common denominator of 36\/145 and f.\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13321723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.3307 minus -4?\nAnswer: -404.3307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 1, -579, -5, -34 in descending order.\nAnswer: 2, 1, 0, -5, -34, -579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3 + 35*j**2 - 36*j = 0. Calculate j.\nAnswer: -36, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2748936.\nAnswer: 2, 3, 47, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -366 - -446. What is the lowest common multiple of 40 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iibb when four letters picked without replacement from bbbbbbbbbbbibbibbb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/7)))**(-6)*(m\/(m*m**8*m))\/(m\/((m*m**(-14)*m)\/m)))**(-50) assuming m is positive.\nAnswer: m**(7750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/8 + 17584313*w**3\/2 + 309208134019213*w**2\/2 + 1236832114053372*w + 2473663946757768.\nAnswer: (w + 4)**2*(w + 35168622)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 165\/60 - (-5)\/4. Suppose r - 21 = 2*y, q*y + 21 = -8*r + 9*r. Solve r*z - 16*z + 10 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12854 - 12863 - 12866 - 6*z - 3*z + 38583.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/5 - 26068*c**3\/5 - 27132018*c**2\/5 - 81161388*c\/5 = 0.\nAnswer: -966, -3, 0, 14003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(637) - sqrt(637)*-2 - sqrt(637))).\nAnswer: 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 339526\/137 and 2478 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112.22 - -0.22. Let c = -111 - t. Put 3\/4, -3, c in ascending order.\nAnswer: -3, 3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t**2 - 11*t + 11. Let q(g) = g**2 + g - 1. Let f = 247 + -203. Let u(j) = f*q(j) + 4*r(j). Let n(b) = 25*b**2. Calculate n(u(p)).\nAnswer: 400*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2535311500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - k = -6, i + 3*k - 6 = -i. What is the lowest common multiple of i and 154?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -20. Solve -b*f = -0*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -420.1 + 420. Sort j, -4, 38, 1 in increasing order.\nAnswer: -4, j, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707006420 to the power of 1\/2, to the nearest integer?\nAnswer: 41316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -725, 376, 1477, 2578, 3679, 4780?\n\"Answer: 1101*h - 1826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1983585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13a + -c868b7?\nAnswer: -c86a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l - 3*i = 21, 4*i + 18 = l. Let s(f) = 5*f**2 + 4*f + 2. What is the lowest common multiple of 4 and s(l)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3014 or 3015?\nAnswer: 3015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 13. Let l be (-1)\/x*(0 + 6). Put 0.5, -1, l in decreasing order.\nAnswer: 0.5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 25*z + 3 + 3.\nAnswer: 25*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 87?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12272 and 1573?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.598 - -1.642. Is 6 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 114, 256, 444, 672?\n\"Answer: -x**3 + 32*x**2 + x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4609 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 + 5*d + 19. Let p(r) = -7*r**2 - 6*r - 18. Let m(o) = 5*p(o) + 6*x(o). Does 28 divide m(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**4 + p**3 - p**2 - p - 1. Let u(i) = 10*i**5 + i**4 - 3*i**3 - 14*i**2 + i. Let k(a) = d(a) + u(a). What is the third derivative of k(y) wrt y?\nAnswer: 600*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 270 = 14*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 4 + 6 - i)*(84*i + 97*i - 53*i) as o*i + d*i**2 + j and give o.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*m - 2 + 232*m - 180882*m**2 + 180880*m**2 + 0 + 166*m to v*m + l + o*m**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217790 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24073, 23101, 22129, 21157, 20185?\n\"Answer: -972*g + 25045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7932 - 4369 = 4*s + 3*s. What is the remainder when 1052 is divided by s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 544*d**3\/3 + 3*d**2\/2 + 3110. Let v(l) = -l**2. Determine q(v(u)).\nAnswer: 544*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320331 (base 4) to base 11.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3\/9 + 182*b**2\/9 - 1280*b\/9 - 303104\/9 = 0.\nAnswer: -64, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 8294024*a\/3 - 8598854264072.\nAnswer: -2*(a - 6220518)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31312243 (base 5) to base 8\nAnswer: -774343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:34 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 184225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 12575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 689310*i - 4135825. Give q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/72 + v**5\/120 - 5*v**4\/24 - 22*v**2. Let q(a) be the second derivative of b(a). Is q(11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8222, 15466, 22702, 29930?\nAnswer: 37150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193145\/18 - -10726. What is the common denominator of o and (84\/(-16))\/(108\/8) - 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/40)\/((-33)\/88)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1981 + 2761. What are the prime factors of l?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19.09308l?\nAnswer: 19093.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 1450953?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -525, -521, -515, -507?\n\"Answer: b**2 + b - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 31*l + 741. Let k(g) = 5*g + 124. Let t(p) = -34*k(p) + 6*q(p). Calculate the remainder when t(-13) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*k, 4*b + 4*k = -b. Let g = 0 - b. Suppose -2*v = -4*d - g*d + 38, -2*d + 14 = 4*v. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/z**2)\/(z**(-1)\/(z\/(z\/z**4))) assuming z is positive.\nAnswer: z**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511719299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3\/3 + 11*s**2\/2 + 26*s - 590. Suppose p(t) = 0. What is t?\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)*t)**10\/(t**(-3\/4))**9 assuming t is positive.\nAnswer: t**(523\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5951104.65 and 0.2.\nAnswer: -5951104.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2.8. Let r be ((-18)\/4)\/(2\/8). Let d be (r\/(-44))\/(12\/(-16)). Which is the closest to 0.2? (a) -2\/11 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:28 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392506767 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 190728 + 53640 = 0. What is the remainder when s\/(-256) + (-1)\/4 is divided by 4*10\/(-4)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 10555 = -8*n - 10331, 4*f + 2*n + 254 = 0 for f.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52931829 + -34.2556.\nAnswer: -33.72628171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -107038, 2\/13, 1\/3, -1, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 2*a**3 - 2*a**3)*(3*a - 6*a - 2*a + (0 + 1 + 0)*(5*a + 2*a + 0*a)).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:52 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/2, -5, -3\/2 in ascending order.\nAnswer: -5, -3\/2, 23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/(-384))\/(-17)*36\/(-9)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 7 + 14 + -54?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 8*w - 9. Let u be k(-8). Let c(t) = 9*t**2 + 5*t + 2. Let h be c(-5). Let z = h - u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**4 + 544*v**3\/3 - 360*v**2 - 825*v. Solve p(q) = 0.\nAnswer: 2\/3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12 + 44 = 0. Solve 0 = -4*q - 28 + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190\/285 - (-35)\/(-48))*193 - -12?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.4, 15, -1\/27, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 5*z - 18. What is j(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170 + 73. Let r = q - -97.000212. Round r to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-848)\/(-24168) - 60\/(-8037).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20221 + 1112?\nAnswer: 22110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1004*a - 3. Let d(z) = 2*z. Calculate b(d(u)).\nAnswer: -2008*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 2 e when four letters picked without replacement from qqeeeemqeeqm?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -906.25 rounded to the nearest 10?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahahhhahahha. What is prob of sequence ha?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 5*p**8\/168 - 2*p**5\/3 - 539*p**4\/6 + 1405*p**2. What is the second derivative of o(k) wrt k?\nAnswer: 200*k**3 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/81289466?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 243117753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 211.995 + -217. Let l = 0.005 + p. Which is the biggest value? (a) 8\/3 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 - 4123255?\nAnswer: -4123116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3158 divide 5098703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 65566740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*d - 138*d + 14*d**4)*(1 - 1 - 3)*(2 + 5 - 5).\nAnswer: -84*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2697*x**2 + 1511*x**2 - 2541*x**2.\nAnswer: -3727*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/16037 + 98517\/32074. Suppose b - 104 = 2*o + o, -2*o - 366 = -4*b. Let f = -91\/2 + b. Find the common denominator of f and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 57 = -3*i. Calculate the common denominator of ((-1)\/10)\/(6\/(-162)) and (-6)\/i*(-335)\/15.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-22)\/(-33)*(5 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406528 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*r = 25, -y - 4*r = 2*y. Suppose -4*z - 20 = -2*z. What is the common denominator of 73\/20 and y\/z - 9\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 739, 1469, 2193, 2911?\nAnswer: 3623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*r**3 + 5*h**3*r**2 + 27*h**3 + 2*h**2*r**2 + 147*h**2 - h + r**3 wrt h.\nAnswer: -6*r**3 + 30*r**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 5*k = 220, 2*k + 44 = d. Suppose -4*i = 0, -4*q - d = -2*q - 2*i. List the prime factors of (q\/(-55))\/((-2)\/(-310)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + (-12 - 2) + 10. Let j(o) = 5. Let u(c) = c - 1. What is n*u(q) + j(q)?\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:32 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53601239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 + 329\/(-18095)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:16 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 221 = -2063. Let b = -786 - o. What is the highest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*j**2 - 4*j**2 - 1)*(-2 - 1 + 0)*(35*j + 5*j + 28*j).\nAnswer: 1428*j**3 - 204*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -10, 4*z + 6 = -3*m - 20. Let b = m - 6. Let a(r) = -r**2 - 11*r - 2. What is the tens digit of a(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514467 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 44707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -23*t + 90. What is the least common multiple of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -4. Let x = c + -6. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - v = -3*v + 6, 0 = 4*k - v + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17*482\/18 + (-24)\/108. Suppose -5*y + 4*f + 19 = 0, 2*y - 4*f + 3*f = 7. Suppose 4*p + y*p = r. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*z + 8013 + 10257 = 4301 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2176)\/(-384)*-54)\/3?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*z + 5510 = -8*z - 104*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*f - 2*p + 4, 4*f = 4*p + 4. Calculate the remainder when 83 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqu when three letters picked without replacement from jjjuqqoojjoujuo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 2244?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12459.\nAnswer: 3, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/18 + -26*(-70)\/(-2730).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 6 - ((6 - 1) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 23. Let c = 4 + b. Let w be 5*(6\/10 - c). Solve 2*q = 2 + w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 0*a)*(3*a**3 - a**3 + 0*a**3)*(108*a - 77*a - 63*a).\nAnswer: 256*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/10 in 4, -0.2, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -13. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 1582327.\nAnswer: -13\/1582327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1 - (-6)\/(-4)). Let o = u + 6. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w - 89*w = -177*w - 18. Solve 5*r + w = c, -2*c + 5*c - 4*r = 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5874 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1276768679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3 + 16*w**2 + 26*w + 12 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = 0, -2*n = 3*v - 4*v - 47. Let a = n - 24. Let d(s) = 2*s**3 + s. Let u be d(1). Solve -5*r - 7 - u = a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 18*s + 20 = 0. Let x be (-4 - 884\/s) + -3. Let a = -95 - x. What is the closest to a in 2, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3840 + -3796.17. Let j = a - -0.67. Round j to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/(3\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10357.9*0.2.\nAnswer: 2071.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*i - 120, 151 = 2*d + i + 15. Suppose 2*p - 2*h = 12, 17*h = -4*p + 14*h + 31. Calculate the highest common divisor of p and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5 = 17. Suppose -11 = n*k + 3*q, 3*k + 2*q + 7 = -0*q. Let x(h) = 138*h + 1. Is x(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from hjhjhjjhhhhjhhhjjjj.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36 - (-2)\/(-3)*3. Suppose 11 + c = 3*i. Calculate the greatest common factor of i and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35412 or 35397?\nAnswer: 35397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26309 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 57*r**2 + 51*r**2 - 110*r**2. Suppose c - 3*c = -42. Let m(w) = 4*w - 2*w - c*w. Determine k(m(g)).\nAnswer: -722*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -2 + 43 + -91?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsyx when four letters picked without replacement from yqqyqxyqsxssyshqq?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 8. Let s be y(-8). Suppose s = -3*d + 8 + 7, 4*z - 205 = 3*d. Calculate the highest common factor of 44 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - -24. Does 33 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i + 6 - 35*i**2 + 14*i**3 + 29*i + 26*i**2 - 15*i**3. Determine y(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214 divided by -24.\nAnswer: -107\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.69 - 594.29. Let d = y - -569. Which is the closest to 4? (a) -6 (b) -3\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299435 divided by -1.\nAnswer: -299435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78378253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.6 + -3.2. Sort n, 3, -4.\nAnswer: -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15528.76cm to kilometers.\nAnswer: 0.1552876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 216, 1, 0 in descending order.\nAnswer: 216, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -2*o**7\/105 + o**6\/120 + 2*o**5\/3 - 728*o**3\/3 - 4878*o**2. Differentiate w(h) wrt h.\nAnswer: -16*h**3 + 3*h**2 + 80*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1094 in 4\/3, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 6*g**2 + 3*g - 6. Let r be w(-5). Calculate the lowest common multiple of -2 + r*(-2)\/(-1) and 6\/9*-6*-2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-504)*-35 + 12\/27?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*x**4 + 7*x**4 - 4*x**4)*(11 - 2 - 4 + 8) to o*x**4 + y*x + c + r*x**2 + j*x**3 and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4278)\/153 + 36 - (-6)\/(-153)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-87)\/42)\/(1\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(7\/((-21)\/18))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, k: 5, v: 3, s: 5, c: 1}. Give prob of sequence vs.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 + 4*v**2 - 4*v**2)*(-3*v + 5*v - 4*v) + 3 - 3 + 2*v**3 + 5314*v**3 + 5381*v**3 - 2292*v**3 as y + w*v**3 + z*v + n*v**2 and give w.\nAnswer: 8401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/3600 + 121\/3600. Calculate the common denominator of (-109)\/(-6) + (-2)\/2 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + o + 1)*(17*o**3 - 19*o**3 + 54*o**3).\nAnswer: -52*o**4 + 52*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + 5)**2 - (3 + sqrt(11))*3.\nAnswer: 7*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1158, 0.3, 5\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*(-435)\/(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 673 + -707. Let v = -32 - c. Solve 2*z + v*z = -16, 5 = -5*i + 5*z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - 0. Let a be (-6)\/(-36)*(-6)\/r. Let f = -3.18 - -3. What is the biggest value in 2\/9, a, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/15 - (3 + 305\/(-150)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l + 473. Let m be k(11). Is m at most as big as 2039\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*t + 5 - 6 + 1 to the form p*t + d and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 244428143 to the power of 1\/2, to the nearest integer?\nAnswer: 15634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/15 - 48\/(-15). Let n(r) = 2*r + 6. Let p be n(-4). Let u be (-1)\/p - (-2)\/(-4). Put -4, d, u in decreasing order.\nAnswer: d, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0*r**5 + 5*r**2 + 0*r + 31\/6*r**3 - 29\/210*r**7 + 0 + 0*r**4 + 0*r**6. Differentiate w(s) with respect to s.\nAnswer: -116*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 233728 and 13944.\nAnswer: 4908288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-481)\/31746)\/((-32)\/128).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/3 - 9. Let f(w) = -10*w**2. What is f(r(p))?\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1207 - z**2 + 2*z**2 + 1205 in the form c + y*z + d*z**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3586115?\nAnswer: 5, 13, 55171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 4*s**4 + 2*s - s**4 + 3*s - 3*s + (s + 4*s - 3*s)*(-2 - 5*s**3 + 2).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 10. Let w be u(9). Let g = -3743 - -59977\/16. Find the common denominator of g and w\/(-3) + 466\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (45\/(-2))\/((-3)\/(-66)). Let c = 13845\/28 + x. Let p = 61\/7 - c. What is the common denominator of p and -97\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3036 and 427440.\nAnswer: 108142320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100013233 (base 4) to base 3.\nAnswer: -10100120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-432)\/6)\/(-6) - -4. Suppose -1442 = -x*s + 14*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, i: 4, f: 11, o: 1}. Give prob of picking 1 i and 1 o.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6057742714.90000063 + -6057742674. Let q = j - 40.9. What is q rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctqttdcctcfctdt. Give prob of sequence cdc.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*-3*128\/(-96)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -42\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 4. Let b be j(4). Suppose 0 = h - b + 9. Let w be (-1 + (-1)\/(-5)*8)\/(-1). Is h greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f + 2*f - 4, -12594*q - 2*f = -12596*q + 24 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/463 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8475 - -237331\/28. Find the common denominator of n and (-2)\/5 + 2232\/80.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-11)\/((-132)\/2010). Is l smaller than -1003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.2 (b) 76\/11 (c) 0.3 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363151 = 33*u + 123538. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 82.97529 milliseconds?\nAnswer: 82975290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 16*u**4 - 154*u + 245. What is the derivative of d(i) wrt i?\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {v: 4, s: 2, f: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/6))\/q)**(-19)*(q**(-1\/5))**(-2\/21) assuming q is positive.\nAnswer: q**(-661\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-2 - sqrt(396))\/sqrt(9))\/(sqrt(64)*-2) + -2.\nAnswer: -2 + 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15809 - -0.12809. What is the closest to -2\/7 in u, -2\/3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 2:41 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(1 - 1 + 5)*(-2*v + 4*v - 3*v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(216)\/(sqrt(8)*-2) + sqrt(27) + sqrt(27) - sqrt(27))\/(sqrt(9) + sqrt(27)\/sqrt(48)) + 3)*1)**2.\nAnswer: 12*sqrt(3)\/5 + 237\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8524, -13, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 8*i**2 + 9*i - 10. Let o = -537 - -534. Let b(p) = -2*p**3 + 8*p**2 + 10*p - 11. Let c(j) = o*l(j) + 2*b(j). Give c(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1008) - (0 + sqrt(1008) - sqrt(1008))) + sqrt(1008)) - (sqrt(1008) + 2 + 5))**2.\nAnswer: 1848*sqrt(7) + 122017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*k + 1510 = -3883 - 607 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (14 + -9) - (1 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v**4 + 1165*v**3 + 5380*v**2 - 4100*v = 0. Calculate v.\nAnswer: -5, 0, 2\/3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1524117 or -1524086?\nAnswer: -1524117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/5, 0.041 in decreasing order.\nAnswer: 1\/5, 0.041, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, 2, 62, -1, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7\/5 (b) 1 (c) -4 (d) 18\/11 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 225480747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.3 - 7.46. Let f = 2.1 + x. Let l be (6 - 11)*(-12)\/45. Sort f, -0.1, l.\nAnswer: -0.1, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.53 + -0.530035. What is d rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*n = -9, 18 + 10 = 4*a + 4*n. Solve a*v - 8*v - 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.2, 2\/53, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 4*p)*(2*p**4 - 4 + 4) + 79*p**4 - 37*p**5 - 79*p**4.\nAnswer: -39*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 1. Suppose 4*b = 3*k - 1, -4*k = -2*k + 3*b - 29. Solve k = 5*g - v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*c**2 + 13*c**2 - 78*c**2.\nAnswer: -157*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, 42\/17, 0, 0.5, -1\/4, -116, -26?\nAnswer: 42\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4195724?\nAnswer: 2, 13, 80687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/381 + -391\/1905. Let u = t - -1\/10. Sort u, 4, -9 in descending order.\nAnswer: 4, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.2 (c) -813 (d) -487 (e) 7 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7945114ml in litres?\nAnswer: 0.0007945114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -11708, 9, -23, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-10 + 10 - 12*o**2)*(5*o**2 + 2*o**2 - 3*o**2).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115628 is divided by 556.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.332 and -26237086321.\nAnswer: -26237086321.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n - 4*q, 3 = -2*n + 5*q + 11. Suppose -a + n*a = 9. Solve -8 = -5*v - a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28046378 divided by 24559.\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -23cb02?\nAnswer: 23cb03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -1aa3 (base 13) to base 3\nAnswer: -12111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15.79 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:00 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -22. Let v = 0.4 - -162.6. Let l = v + -160. What is the fourth smallest value in 1, l, -2\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, a: 1, k: 1, d: 5, c: 3, t: 1}. Give prob of sequence ccd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 10520*s**2 - 1811200*s.\nAnswer: 5*s*(s - 2264)*(s + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/4 and -10*5\/(220\/(-3)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 3*m + 79. Let v(b) = -b**2 + b - 27. Calculate 2*s(o) + 7*v(o).\nAnswer: -o**2 + o - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 - 3*g**2 + 11*g - 13. Let o be h(-6). Suppose 5*a = -3*i + o, i = -3*a + 74 + 217. What are the prime factors of i?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27812263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*a + (-5*a + 0*a + 4*a)*(-1 - 1 + 0) - 3*a + 0*a - 3*a)*(-a + 0*a + 2*a) - a**2 + 5*a**2 - 2*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 56 - 104. Let y be (9\/d)\/((-5)\/10*-3). Let u be -3 + (-2)\/(2 - 3). Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13556347 to the nearest integer?\nAnswer: 3682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 8:19 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 821 - 265*o**2 - 5*o**4 + 65*o**3 + 355*o - 1880 + 909.\nAnswer: -5*(o - 6)*(o - 5)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**3 + 620*o**2 - 5*o - 620 = 0.\nAnswer: -124, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.5 - 7007?\nAnswer: -7216.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 v when four letters picked without replacement from {g: 1, m: 3, v: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 2*r**3 + 3*r**3)*(r - 118 + 280 - 56).\nAnswer: 2*r**4 + 212*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*x**3 - 401*x - 31*x**2 + 2*x**3 + 402*x to the form h*x + a*x**2 + q + n*x**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Let m(j) = 1. Let l(v) = -2*v + 5. Let g(s) = l(s) - 5*m(s). What is n(g(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**5\/90 - c**4\/36 + c**2\/2 - 2*c. Let q(o) be the first derivative of y(o). Let q(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 11 - 9)*(-3071 + 3069 + 2*l + 2*l**2 - 23*l**3 + 2*l**3) to the form d*l**3 + x*l**2 + k*l + g and give k.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 782 + 1002*j**3 + 785 - j**2 in the form x + g*j + o*j**3 + h*j**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -115, 5, -2440 in decreasing order.\nAnswer: 5, 1, -115, -2440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 198 + 111 = 56 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6 - g + 0*g + 0 + 1. Let l be p(-5). Solve l = -b + r - 3, -5*b + 4*r - 23 = 3*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 6*v**2 - 6*v + 3. Suppose -4*w + 2*y = 12, 3*w - y = -4*y - 27. Let o be m(w). What is the highest common divisor of 72 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(99)*2*2)\/((sqrt(72) - -1*(sqrt(72) - (sqrt(72) + -2*sqrt(72) - sqrt(72))))\/sqrt(8)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b**3 - b**2*w + b**2 - 2*w - 40 with respect to b.\nAnswer: -18*b**2 - 2*b*w + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3, 341 in increasing order.\nAnswer: -3, 3, 4, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/13 + 562*f**4\/13 + 43274*f**3\/13 + 508054*f**2\/13 - 1558228*f\/13 - 4811408\/13 = 0.\nAnswer: -133, -17, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 + 3*z - 15. Let q be y(5). Suppose 3*w + 208 - 3067 = q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-14)\/8 + -2*1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 15*h - 31. Let t be q(-17). Suppose -b - 60 = -2*b - t*w, 5*b - 5*w - 200 = 0. What are the prime factors of 1\/((-6)\/(-140))*b\/10?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 631*r - 7858. Determine u(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p**2 + 3*p + 12. Is b(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 373*f**3 + 7*f**2 + 16*f - 8. Let l(v) = 124*v**3 + 3*v**2 + 6*v - 3. Calculate 8*l(w) - 3*u(w).\nAnswer: -127*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, 892, -64, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -89*n**2 + 16*n. Let t(i) = i**2 - 9*i + 2. Calculate l(k) + 2*t(k).\nAnswer: -87*k**2 - 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 7:25 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 divided by -821?\nAnswer: 142\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**2 - 3832 + 5479 + 5*x**2 to k + a*x + f*x**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 g when four letters picked without replacement from {h: 4, g: 2, c: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/((-4872)\/435)*(-58)\/5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 - 143.31. What is v rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.7667 litres in millilitres?\nAnswer: 512766.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 14225.45 kilometers?\nAnswer: 14225450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 17. Calculate b(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222816 by -422.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.896 - -0.296. Let x = -73\/12 - -23\/4. Does f = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*r + 24 = -420*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2475 is divided by 43.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4383 - 4383 + 23*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8070 - -16143\/2. Let s = 0 - -1. What is the fourth biggest value in 2\/3, -1\/6, x, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 14 - (10 - 8)) + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**3 + k**2 + 3*k + 6. Calculate r(-3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 94\/3. Let v = 0.33 - 0.23. What is the closest to 0.1 in r, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + h**5 + 0*h**5 + (-3*h**5 - h**5 + 2*h**5)*(-2 - 2 + 3) - 3*h**4 + 3*h**4 + h**5 + 11 + 11 - 23 + 13*h - h**5.\nAnswer: 4*h**5 + 13*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/6 - (-4)\/(-12). Calculate the remainder when 43 is divided by 22 + 2\/(-6)*f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24003*n**2*s**3 + 2*n*s**3 + 2*n*s**2 - 24*n*s + 12*s wrt n.\nAnswer: -48006*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + f**2 - 2*f + 535. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {g: 4, r: 7, q: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65.7 + -65.71946. What is o rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55136666*p**2 - 13*p - 4604940.\nAnswer: 110273332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-16) + 97831\/(-41192)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 11:28 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 285 and (-1671)\/(-33) - (-84)\/231.\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -29009*s + 8. Let o(b) = -58020*b + 16. Let m(z) = 4*o(z) - 9*r(z). Let k be m(8). Round k to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.473 to 2 dps.\nAnswer: -2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67677, -67716, -67759, -67806, -67857, -67912?\n\"Answer: -2*x**2 - 33*x - 67642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*q - 0*q. Let t be (-2 + 8)*((-11)\/(-22) - 0). Sort 4, 0, t, q.\nAnswer: q, 0, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110778498.\nAnswer: 2, 3, 6154361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*z = -646 + 217, 4*b - z = 339. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g - 6. Let b(j) = j + 1. Let p(x) = 5*b(x) - n(x). List the prime factors of p(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.5312 + 0.4012. What is the smallest value in n, 0.5, 2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34564807\/210 + 164595. Find the common denominator of 163\/1410 and d.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p)**12*(p\/(p**14\/p))**46 assuming p is positive.\nAnswer: p**(-548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 + 30 + -13 + 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 33*g + 20. Let f be v(17). What is the third derivative of 22*l**3 + l**3 + l**2 - 9*l + 25*l**f - 7*l wrt l?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -22.035, -5 in ascending order.\nAnswer: -22.035, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19949349 to the nearest integer?\nAnswer: 4466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 6 = 0, -x = -2*j - 9 + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*w - 35*w - 18252. Let y = w + 219. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 622.2379 days?\nAnswer: 896022.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let q(c) = 1386598*c. Give k(q(d)).\nAnswer: -1922654013604*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -15. Suppose -4*l = -5*s - 24, -48*s + 43*s = 2*l - 42. Sort s, w, 2 in descending order.\nAnswer: w, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16431*a**4 - 7423?\nAnswer: 65724*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 0.3 (b) -6 (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-2)\/(-280960)*-8).\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834785 is divided by 55636?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*b - 3. Put -4, 2, b in increasing order.\nAnswer: -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((2 - 0) + (4 - (16 - 1)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8180383, -8180387, -8180393, -8180401, -8180411?\n\"Answer: -x**2 - x - 8180381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 15. Suppose -5*u - 5 = 10, 0 = p + u - 6. Suppose 16 - z = -4*c + 2*o, p = 3*o. What is the lowest common multiple of 22 and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845643393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1471 + 433 = 4*d. Suppose 357 = s - d. Suppose 1570 - 457 = 4*p + 3*o, 0 = 3*p + 4*o - s. Calculate the highest common factor of 31 and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19134*j**3 - 22980*j?\nAnswer: -114804*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {b: 5, r: 1, u: 3, a: 2, i: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -658, -5713, -19432, -46147, -90190?\n\"Answer: -722*l**3 - l + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**37*h**(2\/11)\/(h*h**(-2\/15)) assuming h is positive.\nAnswer: h**(11419\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 5:59 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/35)\/(((-34)\/1*1)\/10)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15796811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -147006 and -0.8?\nAnswer: 147005.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2 + 1)*-4)\/(18 - 4). Which is the closest to -0.1? (a) 2\/5 (b) -3\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1118587.35 and -40.\nAnswer: 1118547.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/((-6)\/(-18))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -665\/991 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35552 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - g - 8. Let t(k) = 5 + 2*k + 0*k - k + k**3. Let j(z) = -5*d(z) - 8*t(z). Find the second derivative of j(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose -d + u = 6. Suppose t = -5*g - 20, -4*g - 4*t = -0*t. Is d <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47010 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + 182\/70. Solve b + 13 = -4*n, -n - 27 = w*b + 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 36971\nAnswer: 7\/36971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35158\/(-210) - 2\/(-7). Let o = q - -167. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1246 - 910. Calculate the highest common factor of 35 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkoyovvoo. Give prob of picking 1 y, 1 k, and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221102 - -2020200100?\nAnswer: 2012201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 813596.6?\nAnswer: -25221494.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 5. Let g be q(0). Let f(d) = 2 + 4*d**2 - 9*d**3 + d + d**3 - 1 - g*d**2. Determine f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 180*l**3 - 4*l - 184*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 18*s**3 + 12. Let d(c) = -6*c**3 - c**2 + 5*c + 5. Let k be d(-1). Let w(p) = -7*p**3 - 5. Determine k*a(y) + 12*w(y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*n - 208 - 490, 0 = c - 2*n - 351. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 74.8, -0.5, -5, 42, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8193799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o - 2*o**2 - 7*o + 0*o**2 + o to s*o**2 + y + f*o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, -80.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {v: 1, w: 1, k: 4, p: 2, x: 1, g: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 29400 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p = -31*p - 240. Suppose p = 4*m - 3*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -2 - (1 - 0). Let h = -2 - -3. Which is the nearest to 2? (a) h (b) 2\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*((-4)\/9)\/(-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135 + -19 + (8 - 18) + -22.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(((-2)\/(-2))\/(-2)). Let q be (m\/(-2))\/(-6 - -5). Which is the closest to q? (a) -0.2 (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -7*b**2\/2 - 16. Let d(u) = -5*u**2. Calculate g(d(j)).\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {a: 6, b: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*v - 205*v - 8 = -l, 4*l - 3*v - 13 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 + 0.57. Let w = 4.3 + v. Let q = -5 + 1. Which is the nearest to 2\/7? (a) q (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g - 9*g**3 + 1 - 26*g**4 + 24*g - 22*g - 34*g**2 + 24*g**4 as h*g**4 + u*g**3 + y*g + b + r*g**2 and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f - 1411 + 582 = 446. Solve -18 = -u - f*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d - 233 = 0. Let x = d - -390. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -267.76*611\nAnswer: -163601.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-99)\/(-27))\/(2\/6). Solve 17 = -2*b + 3*q, -2*q - 1 = -d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.255 + -0.555. Put x, 3, -0.7 in decreasing order.\nAnswer: 3, x, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39088\/65 or 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*m + m**4 + 17*m - 60*m**2 - 2*m**3 - 62*m**2 + 30*m as k*m + r + t*m**4 + v*m**3 + y*m**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1627000 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keknntnn. What is prob of sequence nk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -14. Let i(w) = -w - 3. Let m be i(z). What is the smallest value in 0, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1100 + -1102. What is the closest to 0 in y, 16, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 1\/2*h**2 + 26*h + 156. What is w(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:32 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47\/102 - 2\/51. Let a = -10 - -6. Let r = a + 6. What is the nearest to 1 in r, 3, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 872 + -762. Calculate the smallest common multiple of m and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 2*u + u - u - 5. Suppose -26 = -5*r + 4*w, -3*r = -7*r + 5*w + 19. What is the units digit of p(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**2 - 225*k = 0?\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -863 - -15f7?\nAnswer: d94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*u + 2*c, 10*u - c = 13*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428 is divided by 355.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/99)\/((-8)\/(-150))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3181606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + 58 + -56 + 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7390, 14847, 22362, 29941, 37590?\n\"Answer: y**3 + 23*y**2 + 7381*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220999751277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11909 - -0.00091. Let h = 8100636.88000054 - 8100637. Let d = v + h. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146 + -36 + (37 - -16) + -46\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-21))\/((-2)\/((-280)\/(160\/8)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.2. Suppose -5*f = 3*i + 28, f + 121*i = 126*i + 28. Which is the nearest to s? (a) 0.5 (b) f (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40232605.\nAnswer: 5, 7, 1149503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 5*l - 2. Let k be t(-3). Suppose -k*d = -3*d - 5. Solve d*m - 12 = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1273608*l**5\/5 - 10192056*l**4\/5 + 11436934*l**3\/5 + 28712*l**2\/5 + 18*l\/5 = 0.\nAnswer: -9, -1\/798, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, z: 5}. What is prob of sequence uzzz?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/154)\/(3\/(-24))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwwcwcwccocwcwwww. What is prob of picking 3 w and 1 c?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*l - 14, -4*g + 4*l = g - 53. Let m be 0 + g\/(-2 - -3). What is the units digit of (-2 - m*-1) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3902802817?\nAnswer: 23, 53, 3201643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 54 (b) 1\/8 (c) 2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300731241 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11331 + -373892\/33. Calculate the common denominator of h and ((-194139)\/216)\/37 + 2\/16.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 1.4507?\nAnswer: 21.7605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 65349, 130700, 196051, 261402, 326753, 392104?\n\"Answer: 65351*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1165\/2796)\/((-330)\/(-432))*2\/24.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2) - -3)\/((-14)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 2*d**4\/3 - 10*d**3 - d**2\/2 + 2*d + 47. What is the second derivative of o(b) wrt b?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -10. Let v = 177367\/7796 - 2\/1949. What is the common denominator of (3\/6)\/((-8)\/m) and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*r - 1921*r**2 - 5*r**3 - 85*r + 3*r**3 in the form o*r**2 + l*r**3 + b + h*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuw when three letters picked without replacement from vduuuuuwuduvuuud.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yyyeeeeeey?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/7 (c) -20 (d) 1 (e) -14\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.1 - 86918.9.\nAnswer: -86905.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - -50. Calculate the remainder when (-6)\/u - 12826\/(-77) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 6. Let f(i) = -i**3 + 2*i**2 + 3*i - 1. Let q be f(2). Let d be l(q). Let j be -8 - (-2 + (3 - d)). Which is bigger: -9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6055 = -7*k. Suppose 26*c + 171 = k. Calculate the remainder when c is divided by 1 + -2 + 11*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 16. Let a = -38 - -44. Let u be r(a). Let o be (-34)\/(-6) + u\/(-12). Solve 0 = 5*z + 5 + o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 - 7 - 10 - 23*g**3.\nAnswer: -23*g**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6850 or 6851?\nAnswer: 6851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.74103147 + -12.741. Round q to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*k = 38, 1243*c - 3*k - 42 = 1240*c. Factor 96\/5*i + 16\/5 + 152\/5*i**2 + 104\/5*i**c + 33\/5*i**4 + 4\/5*i**5.\nAnswer: (i + 2)**4*(4*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7 + 7 + 9*q**2. Let d(h) = -h**3 + 6*h**2 + 5*h + 10. Let u be d(7). Let w(j) = j + 5. Let z be w(u). Determine x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -75*l**2 + 7275*l - 35. What is z(97)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9146, -9261, -9566, -10151, -11106, -12521?\n\"Answer: -15*p**3 - 5*p**2 + 5*p - 9131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/34*19952\/2088?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7 - 0) + 2 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -13*d**3 + 6*d**2 + 10*d - 11. Let o(c) = -41*c**3 + 17*c**2 + 30*c - 32. Let p(a) = 8*k(a) - 3*o(a). What is the hundreds digit of p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - p**3 + 11*p**3 - 2*p**2 - p**2 + 4*p**2 + 14 to the form y*p**3 + j*p**2 + o + v*p and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -18. Suppose 3*x - n*x = 0, -x = -2*i - 24. Let r(f) = f**3 + 13*f**2 + 9*f - 17. Is r(i) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/(21\/245*7)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -2 - ((-10)\/(-12) + 2). Let d(m) be the first derivative of -2 + 1\/3*m**2 + 0*m**3 - t*m**4 + 0*m. Factor d(g).\nAnswer: -2*g*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 70*p**2 - 10*p + 12. Let r be o(4). Let l = -554 + r. Let n = l + -239. List the prime factors of n.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -657324*a*g**3 + 68*g**3 + 1024 wrt a?\nAnswer: -657324*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-340983)\/(-27) - (-9)\/(-1). Suppose 2*m + 28162 = 4*y, m - t - 1455 = -2*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n + 2*z - 0*z, -4*n - 5*z + 33 = 0. Let p(a) = a**3 + a - 1. Let k be p(n). Let u be (k\/40)\/(6\/(-8)). Is u != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 1526 = 1806 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-1150)\/165 + 8. Let q(f) be the second derivative of -c*f**3 - 1\/66*f**4 + 0 - 5*f + 2\/11*f**2. Factor q(y).\nAnswer: -2*(y - 1)*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26919a4 (base 11) to base 7.\nAnswer: -54320401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 6*k + 6. Let m = 26 + -12. Let i = -20 + m. List the prime factors of g(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(13\/(-2795)*9*85\/(-459))?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 13428 + 18982 - 7385 to the form b + h*j and give b.\nAnswer: 25025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20212023 (base 4) to base 10.\nAnswer: 35211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1565354 + 974354. Round o to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 10*j**2 - 114*j - 446. Calculate o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a389 (base 12) to base 16.\nAnswer: 2cd99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**7\/r*r)**(-3\/11)\/((r*r**(-10))\/r**(-3)) assuming r is positive.\nAnswer: r**(39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291386 (base 10) to base 3.\nAnswer: 112210201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14913.1097 rounded to 0 dps?\nAnswer: -14913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 260399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 - z. Let h be k(-1). Let v = 1 - h. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x + 9. Let n(l) = l - 11. Let p be n(4). Is k(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-63))\/(10\/9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -159294, 1\/5, -1.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 633652289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003798 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c - 120 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -127\/20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:20 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -18*p**3 + 2*p - 2. Let a be f(2). Let d = -65 - a. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from kaaaakaaaaaaakaakaa?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1743*j + 19. Is n(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2208344351 and 1.47.\nAnswer: 2208344352.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15875060.5 rounded to the nearest one thousand?\nAnswer: -15875000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141141 (base 5) in base 16?\nAnswer: 16a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqdqqdqqqqqqqqqqq. Give prob of sequence qdd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - -2.1. What is the smallest value in v, -1.9, 6\/5?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(567) - (1 + sqrt(567))) + sqrt(567) + 4)**2*2 - (2 + 1 + (1 + sqrt(7) + sqrt(7) + 4 - 5*(sqrt(63) - sqrt(7)))).\nAnswer: 116*sqrt(7) + 1144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/9044 and 33\/952.\nAnswer: 18088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13749314 times 4\nAnswer: 54997256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -7*y**3\/3 - y**2\/2 + 73*y. Suppose -3*i + 1 = 4. What are the prime factors of k(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 38, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 54 = -4*l. Let t = l - 6. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -48, 2160, 1, -1 in descending order.\nAnswer: 2160, 1, -1, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1981 - -0.1981. Let m = 447\/5 - 89. Which is the nearest to m? (a) -0.2 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352 - -7.4.\nAnswer: 359.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*q + 2*k, -48*k + 58*k - 120 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 33 - 43 = 0, -3*a - f - 26 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 - 120*l**4 + 756*l**3 - 1168*l**2 + 528*l = 0 for l.\nAnswer: 0, 1, 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 97*v + 6912. Give m(-61).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98171471 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {u: 4, d: 2, g: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -122*f - 6. What is q(-1)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -723 (base 10) to base 2.\nAnswer: -1011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*m = 678 + 6822 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 79*n + 2472.\nAnswer: -(n - 24)*(n + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 112034*f.\nAnswer: -2*f*(f - 56017)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*c - 820751 - 1010630 = -11086. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2231*w**2 - 1284*w - 6. Let u(t) = -11157*t**2 + 6420*t + 33. Let x(z) = -11*p(z) - 2*u(z). What is the second derivative of x(k) wrt k?\nAnswer: -4454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 40*q**2 + 26*q - 26. Let p(k) = -k**3 - 40*k**2 + 25*k - 25. Let b(t) = 5*o(t) - 4*p(t). Does 42 divide b(-41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 8:54 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1296, 1291, 1286?\n\"Answer: -5*c + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t + 0*t**4 - 7*t**2 + 0 - 3\/2*t**3 + 1\/20*t**5. Let y(z) = -2*z. Give y(c(b)).\nAnswer: -6*b**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1459879, -1459884, -1459891, -1459900?\nAnswer: -1459911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246 - 370. Let s = y + 371. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Let u(w) = -2. Suppose 3*y + 5*k = 44, 4*k - 1 = -9. Let s(x) = -3*x + 18. Let p(o) = y*u(o) + 2*s(o). Calculate f(p(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -225159.6 and -3020.\nAnswer: -228179.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(1\/2)*p)))**22\/(p*p**(-1))**(-9) assuming p is positive.\nAnswer: p**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4172789747 + 699.4\nAnswer: -4172789047.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.5 (c) 1289 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1111652 and 32?\nAnswer: 8893216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/10 - 24*p**2.\nAnswer: -p**2*(p + 240)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 + 2*t**2)*(-4023*t + 2006*t - 1 + 2049*t).\nAnswer: 32*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8788.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 15) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*n**(1\/7))*n*n*n\/(n*n\/(n**(5\/7)\/n))*n*n*n*n*n assuming n is positive.\nAnswer: n**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**24\/o*o)\/o**(-2\/5))**(4\/3) assuming o is positive.\nAnswer: o**(488\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.445005kg?\nAnswer: 445005000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-25))\/(4\/(-50)). Let p = 14 + h. Let u(v) = v**3 + 6*v**2 - 7*v + 4. Let z be u(p). Calculate the greatest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223647 divided by -38.\nAnswer: 223647\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154062314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u - 45*u + 32 + 74*u - 19*u. Let z(h) = -4*h. Give i(z(b)).\nAnswer: 8*b + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/32 + -31\/160. Sort -4, j, -5 in descending order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -25.16?\nAnswer: -100.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 163\/150 + 9 + (-2196)\/216.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -17 (b) -505 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 343*v**2 + v - 2. What is the hundreds digit of f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -15*u**2 + 5*u - 5. Let j(x) = 8*x**2 - 3*x + 3. Let i(z) = -10*j(z) - 6*l(z). Let c(m) = -4*m**2. What is i(c(o))?\nAnswer: 160*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10}. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 6*p + 3. Let w(k) = -8*k**2 - 2*k - 44. What is -a(i) - w(i)?\nAnswer: 7*i**2 - 4*i + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - (-221)\/17) + 3 + 596371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 3*l + 4*t = 27, 2*t - 3 = l. Suppose -5*a + 57 = -m - 490, -5*m = l*a + 2819. Is (-21)\/(-35) + m\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 4. Suppose 50 = -6*u + 152. Suppose f + u = 16. Let i be n(f). Solve 28 = -w - w + 5*d, 24 = -w + i*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (238*m - 1374 + 1377 + 48*m)*(0 + 0 + m)*(-m - 1 + 1) as f*m**3 + n*m**2 + g*m + o and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/429834 and -83\/1704.\nAnswer: 1719336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -33. Suppose 5*d - g = 17, 4*d - 16 = s*g - 0. Suppose -w = -3*w - 5*j + 108, 0 = -d*w + 2*j + 200. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:09 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -19414.33 to the nearest 10.\nAnswer: -19410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2581 - -1?\nAnswer: -2580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4798971, -9597943, -14396917, -19195893, -23994871, -28793851, -33592833?\nAnswer: -38391817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*l**3 - 106*l**3 - 101*l**3 + 251*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 398 + -394. Find m such that -2*m**k - 10694*m**3 + 16*m**2 + 10694*m**3 - 32 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (sqrt(252) + 2 - sqrt(252)) + -2)**2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbf when three letters picked without replacement from vsfmvmsbbbjs.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8697191 nanometers in kilometers?\nAnswer: 0.0000000000008697191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {u: 1, z: 10, v: 7}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4193*q**4 + 14*q**3 + 216867.\nAnswer: -16772*q**3 + 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 12:04 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2130129 and 5706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 b, and 1 h when four letters picked without replacement from bpbpbdsbbdhsphhd?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551 at least 8551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1719 and 8.49?\nAnswer: -14594.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17862819 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*u = 638*u - 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28544344 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 30 = 5*t, -54*x + 1 = -t - 59*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g + 8. Let m be i(-8). Let y = m + 72. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 54114.86km?\nAnswer: 54114860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3162.\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 242258367 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 356 - 109 - 118 - 113 in the form y*a + l + t*a**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -20*s**2 + 1\/10*s**4 + 3\/100*s**5 - 1\/350*s**7 + 0 + 0*s - 1\/100*s**6 - 2\/5*s**3. Factor k(o).\nAnswer: -3*(o - 1)**2*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**5\/60 + v**4\/6 - v**3\/2 - 85*v**2\/2 - 121. Let n(h) be the second derivative of r(h). What is n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((((s\/(s*s**11*s*s))\/s)\/s*s)\/s*s))\/s*s)\/s)\/s)\/(s*s*s*s\/(s*s**29)) assuming s is positive.\nAnswer: s**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 17*h**2 + h - 4. What is the remainder when l(9) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1439 divided by 37\nAnswer: -1439\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + 200\/15. Let s = -9 + t. Solve -8 - 7 = -s*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 0*h + 2906 - h - 2906. Let i(j) = 10*j**2 + 2*j + 2. Let y(k) = k**2 + k + 1. Let d(b) = -i(b) + 2*y(b). Determine d(s(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 480\/9*(-45)\/(-12). Suppose 0 = z + 4*z - u. Suppose -w = 4*w - z. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -360\/13 + 21253\/767. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 181, 408, 727, 1138, 1641?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9))**(-1\/7) assuming h is positive.\nAnswer: h**(-2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**4\/v)\/v**(-2\/85))\/((v\/v**11*v)\/v)**(14\/3))**31 assuming v is positive.\nAnswer: v**(400706\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Let m(d) be the second derivative of -d**5\/20 + d**4\/4 + 5*d**3\/6 - 3*d**2\/2 + 548*d. Calculate m(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:43 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1175\/(-188))\/((4\/12)\/((-12)\/(-27)))?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-716)\/6)\/((-12)\/(-54)). Let y be -2*(-4 + r\/(-6)). Let w be y\/(-42) - (5 - 1). What is the smallest value in 0, w, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 204 + -204. Suppose i - 640 = -0*i + 3*h, 5*i + 4*h - 3162 = t. What are the prime factors of i?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)\/v)**(-3)\/((v\/(v\/(v\/v**(-1))*v*v*v))\/(v**(-2)\/v*v)) assuming v is positive.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111101101 + 1100?\nAnswer: -11010111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369063?\nAnswer: 3, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259297952 to the nearest integer?\nAnswer: 16103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:56 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000242861 to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 27*t**2 - 28*t - 36. What is the lowest common multiple of w(-26) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/(-75))\/4*(-10)\/(-76)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 50*n**2 + 271*n - 19489. Determine j(52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (70\/42)\/(15\/(-27)). Sort g, -7, -1 in descending order.\nAnswer: -1, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.6268338475 + -0.04?\nAnswer: 161.5868338475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {c: 8, j: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**6\/5 - 59*v**5\/6 - 1067*v**4\/6 - 3751*v**3\/3 + 2662*v**2\/3 + 3663*v. Find x, given that r(x) = 0.\nAnswer: -11, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + t**2 + 0*t)*(-2*t + 3*t - 3*t) - 840 + 840 - 22*t**3 + t**3 - t**3 + 5*t**3 in the form f*t**2 + r*t**3 + m + a*t and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 1 + 1)*(-2 - 3 + 6)*(0*t + 0*t + t).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 892860*t**5*x - 3*t - 147852*x - 2 wrt t?\nAnswer: 17857200*t**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*((-7 - 105\/(-20)) + 3). Sort l, -9, 2\/7, -2\/23 in descending order.\nAnswer: l, 2\/7, -2\/23, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1770, -2877, -3984, -5091?\nAnswer: -6198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*u - 17*u. Sort 1, -3, 3, u in descending order.\nAnswer: 3, 1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 510691536 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*4\/8*-1. Let q be (h - 3)\/(3\/48). Let i = -20 + q. What is the greatest common factor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 12*y**2 - 13*y + 14. Let t be c(-11). Let s = 64 - t. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 7463728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2950332, -2950426, -2950576, -2950776, -2951020, -2951302, -2951616, -2951956?\nAnswer: -2952316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:50 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89594 + 506116504\/5649. Let c = u + 4399\/15064. What is the common denominator of -93\/22 and c?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34*(-105)\/3060*(-6)\/14\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + b + 3*b + (0*b - 3*b + b)*(1 + 1 - 3) - 2*b + 0*b + b - 6*b + 7 - 7)*(-3*b - 3*b + 4*b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1494)\/90 - 13\/1. Is -31 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19200 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 35. Let j be h(0). Let g = 37 - j. Solve -g*q + k + 3*k = -20, 2*q = -4*k - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74150 and 4500905?\nAnswer: 45009050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*a = 0, a - 4*a = 0. Which is smaller: 5\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -112. Solve -6 = -z - f*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -680578420 rounded to the nearest one hundred thousand?\nAnswer: -680600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43124, 172490, 388100, 689954, 1078052, 1552394?\nAnswer: 2112980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l. Let j(g) = -152193*g. Calculate s(j(k)).\nAnswer: -304386*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 6*p)*(0*p**3 + 2*p**4 + 0*p**3 + (0*p**2 - p**2 - p**2)*(-3*p - p**2 + 3*p) - 5*p**4 + 4*p**4 + 3*p**4 - 2*p + p**4 + 2*p).\nAnswer: 42*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*a - 70438 = 0, 4*y - 2*a - 187721 = 93965. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*c**2 + 224*c**2 + 177*c**2 + (2*c + c - 7*c)*(c - 4*c + c) to the form w + r*c + d*c**2 and give d.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 8*w**2 - 7*w + 8. Let y be t(-7). Let c = -6 + y. Suppose 0 = c*s - 87 - 29. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6. Suppose 0 = 2*l + 3*r - 34, -22 = -l - p*r + r. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/477 and -93\/872698.\nAnswer: 7854282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 692280 and 12461040?\nAnswer: 12461040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160747 - 13307 = 38*f. Suppose 14*w = -f + 16648. Is w a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -357 - -352. Let x = 2 - 3. Let b = x + -1. Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 12*k**2 + 32*k + 2. Let v be u(8). Let r be (2\/6)\/((-2)\/(-12)). Differentiate 4*b**r + v*b - 4 - 1 - 2*b with respect to b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5387663 to two dps.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + s + 3 - 3 - s + (s - 4*s + 4*s)*(-2 - 2 - 2) - 17*s + 69*s + 22*s to the form b*s + k and give b.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 16 = x, -2*f = -4*x - 14 + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 672318515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1870, -1852, -1834, -1816?\n\"Answer: 18*a - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i + i)*(-3*i**3 - 3*i**3 + 5*i**3)*(2*i - 1 + 1).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*r - 181, -24 = -r - 5*m + 10. Let o = r - 32. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23148 by 3.\nAnswer: -7716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2*a - 12, -4*a - 658 = -i - 667 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 9*b - 89. Let l be f(-19). What is the highest common divisor of l and 1122?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1137*-492644.\nAnswer: -560136228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 562 - 558. Let w = -0.06 + 2.06. Which is the nearest to -0.1? (a) -2 (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 42 = -4*k. Let i = k - -24. Suppose -15*s = -i*s - 15. Solve -s*z + 3*g = -15 - 13, -2 = 2*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -937 or -938?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 814*f - 806*f = 24. Suppose 2*x + 22*o - 51 = 23*o, -5*o - f = -x. Suppose 35 = -2*i + 7*i. Calculate the highest common divisor of i and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*y**2 - 9*y**2 - 134*y**2 + 256*y**2 as t*y + i + z*y**2 and give z.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 451048 and 1112?\nAnswer: 62695672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3623158261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*c - 332*c + 544*c + 13 + 8 - 5.\nAnswer: 2*c + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 745416 to the power of 1\/2, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8\/9))**24)**(-30) assuming i is positive.\nAnswer: i**640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = -26. Let n(p) = -5*p - 2. Let q be 11\/22*(-4)\/1. What is the least common multiple of n(q) and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 13230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 51 (b) -0.2 (c) 3 (d) -1\/3 (e) 12 (f) 19 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5424563538 to the nearest integer?\nAnswer: 73652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/4 + p**3 - 5*p**2\/2 - 2*p - 1. Let a be u(-4). Solve 0 = 3*x - n - 7, -a*x - 3*n - 7 - 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 2*z**2 - 5\/3*z**3 + 0*z + 46 - 1\/4*z**4. What is the second derivative of x(q) wrt q?\nAnswer: -6*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q = 42*q + 25. Solve 0 = g - 2*y - 11, -5*g + q*y + 0*y + 35 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50275 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6*y + 1440. Let h be (-8)\/y - 2\/(-9). Which is the nearest to 2? (a) 0 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 9*r**2 - 18*r + 10. What is g(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 612 = -8*d. Suppose -8*g = -4*m - 424, 0 = 3*m + 7 + 5. What is the greatest common divisor of g and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50544, 100544, 150544?\n\"Answer: 50000*o + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -852*a**2*t**2 + 31*a**2*t + 92*a**2 - 5*a*t**2 wrt t?\nAnswer: -1704*a**2 - 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6435, -12836, -19231, -25620, -32003, -38380?\nAnswer: -44751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 4. Let w(g) = g + 1. Let c(h) = k(h) - 4*w(h). Let m(t) = -18*t**2 - 913*t + 913*t. Determine m(c(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241391630?\nAnswer: 2, 5, 2063, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306593 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(-21*n**5 - 16*n**5 + 5*n**5).\nAnswer: -64*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p**5\/3 + 240*p**4 - 312*p**3 - 1088*p**2\/3 - 80*p = 0. Calculate p.\nAnswer: -30, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(1*(-2 + sqrt(500) + 3 + sqrt(500)) + -3)*-3*-5.\nAnswer: -4500*sqrt(5) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -58\/9 (b) 986 (c) 0.1 (d) -5 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1185474 divided by 592737\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**25*k*k**(-8\/5)\/k)\/(k**(2\/7))**(2\/13) assuming k is positive.\nAnswer: k**(-11668\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3326, -3240, -3114, -2954, -2766, -2556?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/2*28\/(-10). Let j = 61 - i. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14131507 + -3.\nAnswer: 14131504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**2 + 4*p - 15. Let n(l) = 12*l**2 - 6*l + 3. Let b(x) = 32*x**2 - 17*x + 10. Let c(w) = -4*b(w) + 11*n(w). Calculate 13*c(m) - 6*h(m).\nAnswer: -2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14429, -28891, -43339, -57767, -72169, -86539, -100871, -115159?\nAnswer: -129397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1417 divided by 109?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 891588100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7511387*h**2*z**4 + 63*h**2*z + 30*h**2 - z**4 - z**2 + 69*z wrt z.\nAnswer: -180273288*h**2*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2885.49 millennia?\nAnswer: 2885490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 2*q + 8. What is d(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 11. Let f(i) = i - 1. Let j(t) = -4*f(t) + 3*o(t). What is j(0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 110548 = -3*q + 110522, 0 = -4*q + 12 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(-5)*(g*g\/(g\/(g**(1\/4)\/g))*g)**33 assuming g is positive.\nAnswer: g**(157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419, -837, -1255, -1673, -2091?\nAnswer: -2509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 1. Let v(l) = -2*l**4 - 4*l**3 + 8*l + 6. Let h(j) = v(j) - 4*x(j). Find o such that h(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -4 - (7 + -10). Suppose m*g - 9 = 3*g. Solve 0*y**g - 1\/4*y**4 + 0*y + 1\/4*y**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-12))\/(2\/(-16)). Differentiate -8 - i*t - 2 + 0*t + 1 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -2 - (16 - 13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 0*l)*(26*l**3 + 33*l - 33*l) - 12*l**4 - 4*l**4 + 4*l**4 + (0*l**3 + l**3 + 0*l**3)*(-2*l - 2*l + 6*l) - l**4 + 2*l**4 - 2*l**4.\nAnswer: -37*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -234151 to the nearest 1000.\nAnswer: -234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9191528 millilitres in litres?\nAnswer: 0.0009191528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -3310*c**2 + 4558*c - 194. Differentiate g(j) with respect to j.\nAnswer: -6620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30530536 to the nearest 10000.\nAnswer: -30530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873*g + 839*g = 1670*g - 1680 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*z - 19*z + 36 = 22*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2) + (-106)\/12)*12. Let i = r + 282. List the prime factors of i.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 6 = -3*f, 0 = 3*g + 36*f - 41*f - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 230*r**2 + 512*r - 38170. Determine h(-227).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -38, -42, -42?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jrajjwjrarjrwrrrrjj.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2048) + -3 + -5 + (sqrt(2048) + -3*sqrt(2048))**2.\nAnswer: 32*sqrt(2) + 8189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -100*o - 15 + 105*o + 5*o**2 - 4*o**2. What is z(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/20 + 11*a**4\/12 + 3*a. Let i be o(-11). Suppose -3*z + 12 + 24 = i. Solve -3*p - p + z = -2*b, 0 = -2*b - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.1. Let g = n - -0.3. Let m = g + 0.3. Sort -3, -0.5, m in ascending order.\nAnswer: -3, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -526aa6 (base 14) to base 13\nAnswer: -766560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7149345 by 6.\nAnswer: -2383115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from {m: 2, c: 1, n: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-3)\/3 + (-114)\/6. Suppose 2*l + d = 2*d + 113, 2*l - 116 = -2*d. Let x = l + b. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23519218 and 39628.\nAnswer: 47038436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 894383 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-474)\/7426 + (-4985)\/(-70735).\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -0.1. Let s = 2.4 - a. Sort -0.2, s, -2.\nAnswer: -2, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 85*b + 418. Give j(79).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658515.23ns in days?\nAnswer: 0.000000019195778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0 - 1\/11*s**4 + 8\/11*s**2 - 1\/165*s**6 - 142*s - 1\/22*s**5 + 4\/33*s**3. Determine l, given that q(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**3\/3 - 33*q**2\/2 + 75*q - 3941. What is v(31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**3\/(x**(1\/12)\/x))\/(x**(-3\/5))**15)**(-3\/5))**(-40) assuming x is positive.\nAnswer: x**310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by 534.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -400*p**2 - 354*p**2 - 95*p**2 - 427*p**2 in the form s + t*p**2 + f*p and give t.\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtggtgggggg. What is prob of picking 1 t and 2 g?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 570 + -270. Does 10 divide ((-12)\/9)\/((-1)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:56 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1949.6 + -1950.7409. Let g = 61.1709 + c. Let q = -61 + g. What is q rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281415 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/(-25))\/((-2)\/(-10)). What is the hundreds digit of (-4)\/48*-1858 - 2\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 - 0.09. Which is the closest to i? (a) -1 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 1\/2045, 1\/5, 4, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let c(g) = 20*g. Suppose 6*s = 4*s + 4. Suppose -71 = -4*p + s*z + 19, 2*p + 4*z = 40. Determine p*o(b) + 2*c(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -3)\/(-6)*-6. Let l = j - -1. What is the units digit of (-12)\/(-1) - 8\/l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + sqrt(108) + (sqrt(108) - sqrt(108)*4) - sqrt(108)) + sqrt(108))\/sqrt(9)*5)\/(-5*-3*sqrt(256) - sqrt(256) - sqrt(256) - sqrt(256)).\nAnswer: -5*sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 + -61. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 13. Let v(n) = 5 - 4 - k + 4*n - 1. Suppose 0 = -5*h - 2*p - 1, -4*p + 3 = -4*h - 9. Let j(f) = -f. Calculate h*v(x) - 3*j(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a. Let w(g) be the first derivative of g**3\/3 + 9. Give w(o(q)).\nAnswer: 196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -933.5058236 minus 12?\nAnswer: -945.5058236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6522 and 1878.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k + 20 = 4*o, 5*k - 5 = 5*o. Suppose 2*a = -k*a - 12. Let b = 188 - a. What is the greatest common divisor of b and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 509700*j + 149926375.\nAnswer: 5*(j + 295)*(j + 101645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9*a - 33 = 0, 5*a = 2*t + 9*a. Let v(f) = -f**3 - 6*f**2 - 6*f - 11. What is v(t)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) - sqrt(100)*1)\/sqrt(10))\/sqrt(2))**2 + (sqrt(180)*2)**2 + -3.\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 595, 596, 597, 598?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 140 - 105. Solve 25 = p*g, -4*i - 5*g = -14 + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/5, -53\/3, 2\/15, -0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -164 (base 10) to base 9\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1436*f + 65816 = -3853*f - 262449 + 74393 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 - 232. Let q be a\/(-66) - (-26)\/429. Let v(h) = -h**3 + 5*h**2 + 6*h - 1. Calculate v(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 + -2.02. What is the fourth biggest value in -0.2, c, 2\/15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 16*d**2 - 76*d - 2. Give c(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8919.\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/671400 and 157\/3804600.\nAnswer: 11413800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1. Suppose -4*v - 3*z = 22, -2*z - 17 = 3*v - 1. Let q be n(v). Let u(j) = 2*j + 3. Is 5 a factor of u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9485 + -9400 - (-2 - 26 - -2).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11748*i**3*u - 2*i**3 - 1589*i + 2*u - 2 with respect to u.\nAnswer: 11748*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7 - 1055*h + 532*h + 527*h + 2*h**2. Let m be k(3). Solve -m = 2*v - 19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/5544 and -39\/4.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 2*v - h, 2*v + 77 = -3*h + 2*h. Let t = -36 - v. Suppose -t*s + 5*q + 110 = 0, -s - 3*q + 35 + 3 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7771877 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/21 - 8\/7. Sort -15.2, -0.3, c, -1, -1\/5 in decreasing order.\nAnswer: -1\/5, -0.3, c, -1, -15.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145.9 + 145.88797. What is l rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 261*m + 33*m - 4 + 2 - 1037*m - 2 as n + h*m and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*z - 184*z + 1 - 22*z to the form u + k*z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axw when three letters picked without replacement from awuraxxxaxrowaa.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.7. What is the third biggest value in -0.2, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113 and 2020?\nAnswer: 228260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/9 - 20\/9. Let n = -1046\/195 - -68\/13. What is the second smallest value in n, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 3 = -4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 1, h: 1, s: 5}. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*r**3*w - 7*r**3 - 5*r + 13872*w**4 - 192 wrt w?\nAnswer: -12*r**3 + 55488*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1250\/500)\/((-10)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x - 47. Let p be c(4). Solve 4*l + 3 = l, g + 5*l + p = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 871 (b) 2 (c) 0.3 (d) -0.2 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/7*6)\/(2\/(-273)). Let c = -6 - -8. Suppose -4*i - c*i = -m. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6287 less than 1.3?\nAnswer: -6285.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 13*w**3 - 10*w**2 + 6*w. What is the units digit of a(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6574?\nAnswer: 2, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, c: 5}. Give prob of sequence cdd.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 799, -5, 6833.\nAnswer: -5, 799, 6833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 10*q**2 - 11*q + 15. Let j be c(11). Let b(d) = d**3 - 14*d**2 - 10*d - 20. Is b(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4761.926 litres in millilitres?\nAnswer: 4761926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7434415*a + 22303228*a - 7434414*a - 7434408*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 142*z**2 - 303*z - 465. Let s be u(139). Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5\/11 + 58*n**4\/11 + 18*n**3 - 58*n**2\/11 - 200*n\/11 = 0?\nAnswer: -25, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 325 = 5*a - 22*x, 121 = 2*a + 5*x. Suppose -184 = -9*f + a. Solve 5*g + 4*n - f = 0, -20 = -4*g - 0*n - 2*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4609494.\nAnswer: 2, 3, 85361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/7 + 142*f**4\/7 - 6621*f**3\/7 + 96336*f**2\/7 + 34560*f - 331776\/7.\nAnswer: -(f - 48)**3*(f - 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649222?\nAnswer: 2, 7, 79, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 945 and 5600.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -375*k - 1452. List the prime factors of u(-5).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25343019*-0.3.\nAnswer: -7602905.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, q: 2, d: 1, l: 1, m: 1, u: 1}. What is prob of sequence udqq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose 5*x - 2 = -w + 1, 4*w + t*x = 12. What is the nearest to w in -1, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 84. Let k(q) = -6 + s + 1 + 4*q**2 + 5*q - 10*q. Let l = 2 - -2. Let j(w) = -4*w**2 + 4*w + 4. Give l*k(u) + 5*j(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 373 + -646?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 5*v + 3*v)*((0*v + 7*v - 3*v)*(4*v**2 - 2*v**2 - 4*v**2)*(-3 - 2 + 3) + 29*v**3 - 44*v**3 - 46*v**3).\nAnswer: 90*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*n - 10*n + 35 + n + 22*n wrt n?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 23672*a\/9 + 19885390\/3.\nAnswer: -2*(a - 13971)*(a + 2135)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -820 divided by -2193?\nAnswer: 820\/2193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/3 + 542*k**4\/3 - 24073*k**3\/3 + 135320*k**2 - 995376*k + 2661120 = 0. Calculate k.\nAnswer: 7, 12, 16, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o + 1. Let u be g(1). Suppose 7*l - u*l - 12 = 0. What is the least common multiple of l and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364659 is divided by 24292.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 9:24 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*q - 6366004, 0 = -84*m + 88*m - q - 8488002. What is m rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009672 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 55, 49, 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2004.253 - -2101.5. What is w rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/36*1\/((-7)\/(-28))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11477934088 and 0.3.\nAnswer: -11477934087.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4408 + -3809. Solve -603*u = -v*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 + -170. Solve 5*s + 5 = -o*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 531\/7 - 76. Let n = 481 + -485. Which is the nearest to 1? (a) s (b) n (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8670871.1328 from -0.5.\nAnswer: -8670871.6328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-858)\/57 + -2*(-1080)\/144?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4 + sqrt(832) + sqrt(832) + -2 + -4 + sqrt(832) + -2 + -5 + 2)*-1)**2.\nAnswer: -528*sqrt(13) + 7609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*j - 67*j + 100 = 0. Let n = j + 482. What is the remainder when n is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3 = 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 2*f**2 - 3*f - 2. Let w(g) = 3*g**2 + 2*g + 2. Let s be w(-1). Calculate j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1310 - 92*m + 1310 + (0 - 1 + 0)*(-2*m + 0*m + m) - 2*m - 2*m + 5*m + m - 6*m + 2*m + (-1 + 1 - 2*m)*(2 + 0 - 4).\nAnswer: -89*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166934108 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73, 133, 193, 253, 313?\n\"Answer: 60*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*g*i**2*j - 7*g*i*j + 96*g*j - 427*i**2*j - 347*i wrt g?\nAnswer: 22*i**2*j - 7*i*j + 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 * 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebeeyeyeyeeye. What is prob of picking 3 y?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-154))\/((-9)\/75). Let g = 7\/33 + f. Which is the nearest to -1? (a) 2\/11 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -99, -95, -97, -111, -143, -199, -285?\n\"Answer: -h**3 + 3*h**2 + 2*h - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*k**4 - 292*k**2 - 85257*k wrt k.\nAnswer: -372*k**2 - 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:44 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1300 (base 6) to base 8\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 times -0.00689?\nAnswer: 0.00019292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. Suppose 37 = -21*n - 5. Let d(w) = -w**2 + 3*w + 3. Let f be d(n). What is the third smallest value in f, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 1:35 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = 5. Let y = 9.7 + -4.7. Let n = -4 - -2. What is the nearest to n in c, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.7 - 8. Let m be -29801*4\/96 + (-3)\/18. Let q = m - -1242. Sort q, f, 0 in ascending order.\nAnswer: f, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*m**2 + 15*m**2 + 24*m**2.\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13461?\nAnswer: 3, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + s**3 + 10*s - 1 + 8*s**2 + 10. Let q be o(-9). Let j be (-17)\/26 - 2\/(-4). What is the nearest to q in j, -1\/7, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -8784 in decreasing order.\nAnswer: 0, -4, -8784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**2 + 0 - 1\/40*m**5 - 2*m + 1\/84*m**7 + 0*m**4 + 0*m**6 + 0*m**3. Factor s(d).\nAnswer: d**3*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 98\/21 + 2\/6. Suppose -7 = -2*d - 2*y - 1, -c*y - 21 = -4*d. Solve p = d*m - 14, -2*p + 2*m = 3*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -393\/220 - 7\/20. Calculate the common denominator of o and 1*(-12 - -14) + (-3281)\/1802.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3237 + -3104. Calculate the highest common divisor of 28 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 3 + 3)*(-3*o**2 - 2*o**2 + 0*o**2) + (-5*o + 2*o + 5*o)*(-6*o**3 - o**3 + 0*o**3).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -101100110001?\nAnswer: 101100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 371 + -375. List the prime factors of (-7856)\/w - (-4 - -11).\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -5432521?\nAnswer: -5432523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 513*q**4 + 3 - 2*q**2 - 3 + 8*q**3 - 519*q**4.\nAnswer: -2*q**2*(q - 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 596836 and 41004?\nAnswer: 5371524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 20, -3*z = 54*l - 53*l + 5. Let r = -21 - -16. Let t be 1\/((-20)\/16)*r. Solve 6 = -5*b + t*a, 2*b - a - 3*a = z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1836 + 1854. Suppose -2*a - 2*a - 4*j + 36 = 0, -3*a = 4*j - 23. Calculate the lowest common multiple of f and a.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-7) + 1 + 515\/35. Suppose -l = -p - 5, 2*l - 2*p = -p + 5. Suppose -5*a + s = -l*a, 5*w + 5*a - 5 = 0. Are w and -2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72249136 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2*d*d\/d**(2\/9)*d)\/((d\/d**(-2\/5))\/(d\/(d**(2\/11)\/d*d)*d)))\/(d**(1\/4)\/d*d**(-2\/11))**(2\/5) assuming d is positive.\nAnswer: d**(5513\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5490389 divided by -7\nAnswer: -5490389\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*a + 4*z + 4 = -172*a, a - 4*z + 14 = 0. Let m(f) be the first derivative of f**4\/4 - 4*f**3\/3 - 3*f**2\/2 - 1. Is 9 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 - -6 - -1 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 236432081?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 4*y - 576 = 0. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -348, -774, -1362, -2106, -3000?\nAnswer: -4038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220473*c - 661419*c + 220473*c + 220470*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2980, -5641, -8302, -10963, -13624?\nAnswer: -16285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1265.9999980495 + -1266. Round u to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7325 divided by 5?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -8990274\nAnswer: 899027.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 22 + 57 = -5*q, -q + 4*r = 24. Put 4, q, -1 in ascending order.\nAnswer: q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9738082?\nAnswer: 2, 157, 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (152\/285*-3)\/(4\/(-18))?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -7*c**6\/40 + 33*c**5\/20 + 13*c**4\/2 + 6*c**3 - 169*c**2. Factor n(y).\nAnswer: -3*(y - 6)*(y + 1)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-35)\/6))\/(39\/(-182)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 divided by -1888?\nAnswer: -477\/944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 12*c - 15. Let a be i(-7). Which is greater: 2\/9 or a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1361247?\nAnswer: 2722494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 12 = 3*p, 4*p + 201*u - 25 = 206*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 735*r**2 - 5195*r - 761. Calculate y(-742).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (44\/(-33))\/((-3)\/(-4329)). What is the greatest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*g - 110*g + 245*g - 816 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -320.\nAnswer: 3\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.98 - 0.02. Suppose -17 + 14 = -t. Let v be (8\/4)\/(t - (3 + 2)). Which is the nearest to -0.1? (a) 1\/4 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38312580 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4334274 and 100044?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 31*j = -104*j + 414. Factor -3\/5*r + 9\/5*r**2 + 3*r**4 + 0 + 27\/5*r**j.\nAnswer: 3*r*(r + 1)**2*(5*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.32 and -225190.\nAnswer: 522440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 208*n**3 + 13*n**2 - 8*n + 8. Let o(v) = 69*v**3 + 5*v**2 - 3*v + 3. Determine -3*a(r) + 8*o(r).\nAnswer: -72*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 14*s**2 - 18*s + 33. Let b be m(15). Find the common denominator of 83\/2 and 1\/(-18) - (-36)\/b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 3*j - 30. Let r(u) = 2 - 3*u - 3*u - 3*u + j*u. Let p be r(1). Let b(t) = -t**2 + 3. Calculate b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 15*t**2 + 19*t + 10. Let z(p) = -2*p**3 + p**2 + 2. Let x be z(2). Let w be j(x). Suppose 23*y - 19*y - w = 0. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, q: 1}. Give prob of sequence nnq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 7*n + 88. Let t = 198 - n. Suppose -3*m + t = -71. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*c + 20 = 0, 61*p - 20 = 57*p - 4*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34416 is divided by 34353?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 0*z**3 - 3*z**3)*(-3470 + 3470 + 53*z)*(5*z - 3*z - 3*z).\nAnswer: 159*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1.75.\nAnswer: -0.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 11*y**2 - 11*y + 15. Let f be j(10). Suppose 3*r + 4 = f*r. Suppose -r*t + 5 = -1. Solve 0 = -i - t*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Let u(y) = 4*y + 1. Let j(m) be the third derivative of -m**4\/24 - m**3\/6 + 43*m**2. Let v(t) = 3*j(t) + u(t). Determine v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*u - 2*u - 2*u + 2*u + (2*u - 3 + 3)*(-5 + 2 + 1) + u + 0 + 0)*(-52 + 18 + 18)*(u + 3*u - 5*u)*(2*u**2 + u**2 - 5*u**2).\nAnswer: 288*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-5) - 4\/20. Suppose -5*n = -d*n + 10. Is n smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*g**2 + 201*g - 318.\nAnswer: 3*(g + 2)*(60*g - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**3 + 2*l**2 - 4. Let r be b(-2). Is 18 a factor of 20 + ((-2)\/6)\/((-6)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11705661.\nAnswer: 3, 11, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -1\/7 (c) 3\/5 (d) -8.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (16 + (13 - (30 + -12)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 6*r + r**3)*(964 + 182 + 221) + (0*r**2 + 0*r**2 - r**2)*(3*r - r - r) + r**3 + 4*r**3 - 3*r**3.\nAnswer: 1368*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 180, 1362, 9 in descending order.\nAnswer: 1362, 180, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3105, -8193, -21995, -48867, -93165, -159245, -251463, -374175?\nAnswer: -531737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q**5 + 8727*q**4 - 18786*q**3 - 95307*q**2 + 147996*q + 94932 = 0. Calculate q.\nAnswer: -293, -3, -1\/2, 2, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 0, 0.056, 2\/5 in descending order.\nAnswer: 4\/3, 2\/5, 0.056, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 77*a + 836. Let i be h(64). Solve 16*l - 20*l + i*t + 8 = 0, 4*l + 5*t = -28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1584)*2 + sqrt(1584)))\/(4*sqrt(64)*2))**2.\nAnswer: 22275\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 106*f + 797. Let v be i(-7). Put -11, -3, v, -2 in descending order.\nAnswer: v, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 111. Does 26 divide (0 - (-1803)\/g) + 1\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b5 - -5432a?\nAnswer: 54423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1e6a61?\nAnswer: 1e6a5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4227 - 4252. Is f <= -99\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1993*c**2 - c + c - 3987*c**2 + 1989*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 162509, 650038, 1462589, 2600162, 4062757, 5850374?\n\"Answer: 162511*q**2 - 4*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2663292 and -59\/2663292?\nAnswer: 2663292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63.3 + -63. Let m be (-3)\/6 + (-11)\/(-30). Put n, -0.3, m in increasing order.\nAnswer: -0.3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 11*p**2 - 8*p + 5. Calculate i(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 1. Let q be 14\/(-4)*24\/(-42). Suppose -c = 3 - q. Determine g(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a - 4 = -35*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.644514mg?\nAnswer: 0.000007644514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**2. Let g(l) be the second derivative of -5*l**4 + 6*l**4 - 2*l + 1944 - 1975. Calculate g(x(h)).\nAnswer: 972*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 134*x**2 + 4 - 126*x**2 + 257*x**2.\nAnswer: -3*x**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22032.468 nanoseconds to hours.\nAnswer: 0.00000000612013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - -7.99. Let h = -3.2 + y. Let n = h + 0.2. Which is the third biggest value? (a) -3 (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**2 - 48*c - 452. Let b(a) = 16*a + 10*a**2 + 113 - 7*a - 8*a**2 + 3*a. Let k(y) = 9*b(y) + 2*u(y). What is the first derivative of k(x) wrt x?\nAnswer: 12*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260\/1170*(-3)\/4\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - -4) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14))**(-19\/4)*j**(1\/25)*j*j**(-5)*j assuming j is positive.\nAnswer: j**(3177\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13030 (base 8) to base 14\nAnswer: 20c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5140 - 5136. Let c(o) be the second derivative of -23*o - 7\/30*o**6 + 0 + 17\/2*o**2 + 0*o**y + 0*o**5 + 0*o**3. Find the first derivative of c(m) wrt m.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31927 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = -9. Suppose -o*s + 0*s - 4*y = 8, -s + y + 9 = 0. Suppose -4*t = -6*k + s*k + 146, 0 = 4*k - 3*t - 307. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17 - -8.83. Let w = -6 + x. Which is the biggest value? (a) -3 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3*a**3 - 1\/3*a**4 + 0*a + 10\/3*a**2.\nAnswer: -a**2*(a - 10)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -988, -993, -998, -1003, -1008, -1013?\n\"Answer: -5*q - 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242946.\nAnswer: 2, 3, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 32 = -57 + 27 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109.8 - 110. What is the nearest to 1 in -20, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13819977 less than -3?\nAnswer: -13819980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(13\/3)*b*b*b*b**(1\/9) assuming b is positive.\nAnswer: b**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3 + -20 + 19\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**5*x**(4\/7)\/x)\/((x*x**(2\/3)*x*x)\/x**(-2\/3)) assuming x is positive.\nAnswer: x**(26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = -23*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5 + 304*w**4 + 104364*w**3 - 528336*w**2 + 320166*w + 952560 = 0?\nAnswer: -168, -1, 3, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3305 - 230?\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 4:01 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 13 + 0*b**6 + 0*b**2 + 0*b**5 + 17\/7*b**7 + 0*b**4 + 0*b + 3*b**3. What is the third derivative of u(s) wrt s?\nAnswer: 2040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let y = 2 - x. Suppose 2*g - 4*g = -5*l - 10, y = -g - l - 2. Solve 2*a + 16 = 4*n, g = -3*a + n - 0 - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 434*g + 8788. Calculate d(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56\/145 + -2\/145. Let t = -1 + 2. Let g = -1 + t. Which is the biggest value? (a) g (b) -1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 1. Let f be 6\/(-3*(-1)\/4). Suppose 2*m = -2*m + f. Suppose -18 + 8 = -m*b. Give t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from {e: 4, f: 3, k: 1, m: 1, q: 6}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 4*i + 17 + 2*i**2 + 24 + 1 - 2*i to the form z*i + s + k*i**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -245, -247, -247, -245, -241?\n\"Answer: y**2 - 5*y - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247*j**4 + 275*j wrt j.\nAnswer: 2964*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 7*a + 5. Let c be 18\/5 + 2\/5. Let b be n(c). Suppose 0 = 3*l + 4*k - 10, -18*k + 22*k = 2*l. Solve 7*i = l*i + b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -9. Let b(z) = -2*z - 1. Let m be b(-3). Suppose 2*g + 9 = m*g. Solve -g*s + 0 - c = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445498 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011100100100001 (base 2) in base 4?\nAnswer: 103210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 163fab2d?\nAnswer: 163fab28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.48982036 + -7.150820501. Let g = v + -0.339. Round g to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*d**2 + 4913*c**2*d + c**2 + 3*c*d**2 - 57*c*d - 21*c + 2*d**2 wrt c?\nAnswer: 2*d**2 + 9826*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 2*b**2 + 2*b - 2. Let g be i(2). Suppose g*z - 3220 = -5*z. Suppose -n = -6*n + z. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2 - 2*q + 1. Let k be j(1). Suppose 4*w - 43 = k. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12251 - -2666. Let b be 1 + 5\/((-100)\/g). Let h = 461 - b. Find the common denominator of 51\/16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15)*1*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*o - 114 + o**2 - o**2 + 238 - 2*o**3 - 126 in the form j*o + i*o**2 + y*o**3 + w and give j.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, 1\/3, 0.042?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 1 - 1)*(-2*l**3 - 3*l**3 - 1 - 2*l**3).\nAnswer: -7*l**5 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*z - 6. Let c = 113 + -129. Let f = -16.5 - c. Put f, z, 1 in descending order.\nAnswer: z, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -33. Let v be (-1)\/((0 + -3)\/q). Let h = v - -29. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123470691.\nAnswer: 3, 683, 60259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 271 - 12*r - 271 to the form c + i*r and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 17. Let u(q) = -1. Let h(m) = p(m) + 6*u(m). Suppose l - 7 = w, 0*l = 4*w - l + 34. What is the units digit of h(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.32842 - -2.67158. Let p = -0.05 + 5.05. What is the second biggest value in 2, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (sqrt(171)*-5 - (sqrt(931) + 0))))**2.\nAnswer: -1408*sqrt(19) + 147200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 - (-27 + -2). Suppose 0 = 4*z + 3*m - 77, z - g = -z - 3*m. Let o(d) = -2*d**3 + 8*d**2 - d - 3. Calculate the remainder when z is divided by o(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/7)\/(z\/(z\/((z*z**(-3\/7))\/z*z))*z*z)*(z**(2\/5))**(-2\/5) assuming z is positive.\nAnswer: z**(-453\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((108\/(-4))\/3)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4 - 1273376*t**3 + 202687078044*t**2 - 405370335968*t + 202684531298 = 0.\nAnswer: 1, 318343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42631136 + -4?\nAnswer: 42631132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241386.\nAnswer: 2, 3, 40231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -118071+0.6\nAnswer: -118070.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from eeeeeeeeeecec.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2 - 2)*(-8*i + 39*i + 49*i).\nAnswer: -80*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18103201\/38 or 476400?\nAnswer: 476400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 2*t)*(3 + 1 - 3) + 4*t + 2 - 2 + 6*t - 4*t + 3*t + 2*t + 2*t - 3*t - 2 - 2*t + 2 + (3 + 2 - 6)*(3*t + 0*t + 0*t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -2 - 0\/7. Let u be 10*(1 + h)\/6. Suppose 2*j = d - 9, u*j + 39 = 4*d - 9. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s**3 - s**2 + s + 1. Let a be r(-1). Let o(p) = -7356*p - 51151. Let y be o(-7). Calculate the greatest common divisor of y and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 3324 + 19796. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*a + 54, -5*a + 2*r + 60 + 15 = 0. What is the remainder when 88 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 9. Let z = m - 9. Let w(h) = 4*h + 1. Let u(a) be the first derivative of 3*a**2\/2 + a + 1. Give z*u(y) - 4*w(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-24)\/w))\/w*w*w*w)\/w**31 assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6102445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s + 560. Let h(l) = 8719*l. Determine h(b(x)).\nAnswer: -52314*x + 4882640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 247437 and 134.\nAnswer: 33156558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 + -1 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.941 minus 0.04?\nAnswer: 2.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/224)\/(3\/(-8)). What is the nearest to -1\/4 in t, -0.42, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.2, 73, 346?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401, -1481, -3229, -5639, -8705, -12421, -16781?\nAnswer: -21779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*c - 14 = -4*c, -5*k + 26 = 2*c. Let d be 0\/(-1) + (k - 2). Suppose 2 - 13 = v - 3*y, 4*v = -d*y + 26. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -23*s**3 + 2*s + 1. Let p be j(-1). Suppose 0 = -5*o + 3 + p. Is 8 a factor of 151\/o + (-6)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.7. Let q = -0.7 - m. Is 0.1 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -880261295*k**3 + 33*k - 969210 wrt k.\nAnswer: -5281567770*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153951727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 9, 19 in decreasing order.\nAnswer: 19, 9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32930943 rounded to 3 decimal places?\nAnswer: -0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fttt when four letters picked without replacement from ffftnfnwftntwfn?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11469 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 391283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -336371 - 0.18.\nAnswer: -336371.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2692900 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/22)\/((-8)\/80*-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44500, -88824, -133150, -177478?\n\"Answer: -h**2 - 44321*h - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 + (0 + -2)*1. Solve -m = -2*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -28.96. Suppose -7*w - 6 = -4*w. Let g = 86.8 - 87. What is the biggest value in o, w, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -1. Suppose s*y = 5*y + 70. Suppose -2*b - t + 83 = 0, 5*b - 7*t + 3*t = 201. What is the remainder when b is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.043701 rounded to two dps?\nAnswer: 6.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33b5 (base 13) to base 6.\nAnswer: -53314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188556 - 188470.041. Let k = 465 - 551. Let b = p + k. What is b rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*n - l, -4*l = -4*n + l + 36. Suppose -10*a = -n*a - 2. Solve -4*q = a*i, 4*i - 5*i + q = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d + 26*d = -28*d - 5*f - 16 + 16, -4*d + 6*f = -32 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 34*y**2 - y + 27. Determine d(-34).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-33) - (-23)\/3. Let k be 114\/j - 9\/(-12). Does 9 divide -9*20\/(k\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -527.356 - -526. Let f = l - 0.444. What is the biggest value in f, 3, -5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73742.\nAnswer: 2, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) -1\/5 (c) -21 (d) 1\/5 (e) 3 (f) -1\/35 (g) -43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 22\/4)*2. Suppose -d*c + 573 = -8*c + 4*p, -555 = 3*c + 2*p. Let n be 2\/(-11) + (-56)\/c. What is the third biggest value in 0.3, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -50.8. What is the third smallest value in j, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = n - 12, -4*n = 2*f - 4. Find the third derivative of g**4 - 257 + 0*g**2 + 3*g**3 - g**f + 267 wrt g.\nAnswer: 24*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 258?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 1152117?\nAnswer: 25\/384039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -16*k**2 - 36*k + 75. Let x(b) = 3*b**2 + 7*b - 14. Let n(l) = 4*j(l) + 22*x(l). Let h be n(1). Solve -h*g - 9 = 5*d + 3, 2*g - 2*d = 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (-1 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, -233, 5 in decreasing order.\nAnswer: 5, 4, 1, -1, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 12*b**2 - 120*b + 1293. Let y be f(14). Let i = -0.08 + 0.68. Let g = i + 3.4. What is the nearest to -13 in 1\/4, y, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/1423 (b) 3 (c) 4\/5 (d) -2\/5 (e) 1 (f) 2\/7 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011200871 to 7 dps.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 86*h**2 - 127*h - 3456. Calculate b(-87).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -91, -130, -197, -298?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1521.6 - 1522.1. Suppose -2*u = u + 12. What is the fourth smallest value in -2\/17, u, a, 0.027?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14354 is divided by 624.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/5)*w)**(-46)*w\/w**2*w\/w**(-1\/2))**(-9\/5))**(2\/21) assuming w is positive.\nAnswer: w**(813\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5461\nAnswer: -1\/5461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -6 in descending order.\nAnswer: 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*i**3\/3 - 2170*i**2\/3 + 4846*i\/3 - 1076\/3 = 0. Calculate i.\nAnswer: 1\/4, 2, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2\/5 - 1956*b\/5 + 1926.\nAnswer: 6*(b - 321)*(b - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -42*q**3 + 2*q + 3. Let w be l(-1). Suppose -30 = s - w. Calculate the greatest common divisor of 117 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15335 is divided by 591?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55471572 - 31671572. Round n to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/14)\/(2\/14). Let m be 5 - (-1 + 2 + 0). Suppose u = m*u - 486. What is the highest common factor of h and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 20, -3 in increasing order.\nAnswer: -3, 0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 795609900 by 50.\nAnswer: 15912198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**2*z**4 + 297*w**2*z**3 - 19010*w**2*z**2 - 2*z**3 wrt z?\nAnswer: -48*w**2*z + 1782*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.01, -589, 0.5 in descending order.\nAnswer: 0.5, -0.01, -1, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11031*v + 116525218 - 116525218.\nAnswer: -11031*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 0*d)*(-4*d + 6*d + d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4 + 4. Let z(r) = 3*r - 2*r - 5*r - 9*r**f + 2*r + 1. Determine z(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:42 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0*z - 7*z)*(4*z**2 - z**2 - 2*z**2).\nAnswer: -7*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -19*r + 102. Give w(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0231 and 349.\nAnswer: 348.9769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j**7*j))\/j)*j)\/(j**(-4\/9)\/j)*(j\/(j**(-1)*j*j))**(-4) assuming j is positive.\nAnswer: j**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.06 + -16.54. Is 9 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**3 - 4*k**2 + 11*k - 11. Let v(l) = 2*l**3 - l**2 + 3*l - 3. Suppose 69 + 99 = 28*r. What is r*w(f) - 22*v(f)?\nAnswer: -2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.6 times -5950?\nAnswer: 122570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 333675 = 40*w. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28 - 5*g**3 - 11*g**3 - 94*g - 14*g**2 - 50*g + 74*g**2 + 72*g**2 = 0. Calculate g.\nAnswer: 1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176431 (base 8) to base 7\nAnswer: 356621","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 15*q**2 + 2*q - 1. Let f be (-2 + 0 + 3)*-54. Suppose -7*j + 124 = -261. Let g = j + f. Determine o(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 3*f**2 + 0*f**2)*(4*f**2 + f**2 - 3*f**2) - 2*f**4 + 4*f**4 + 3*f**4 + (2*f**2 - 2*f**2 - 6*f**2)*(-19 - 3*f**2 + 19).\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 9 + 7 - 5 + 10 in the form m*i + d + p*i**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 6*z**2 + 2*z - 9. What is the remainder when 62 is divided by q(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 26568584.\nAnswer: -1\/948878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30692, 25250, 19808, 14366, 8924, 3482?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939\/15 + (-4)\/(-10) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*k - 469*k - 92314 = 69486. What are the prime factors of k?\nAnswer: 2, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 1, q: 1, r: 1, f: 1}. Give prob of picking 1 q and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 604.267 + -604. Let o = v + -0.37. Round o to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3. Let l(n) = -2*n**2 - 5*n. Give -l(v) + 3*y(v).\nAnswer: 2*v**2 + 5*v - 9","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-22))\/(((-192)\/(-12))\/(-960)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38858?\nAnswer: 2, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 - -191. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**6\/3 - q**4\/6 + 2*q. What is the third derivative of t(n) wrt n?\nAnswer: 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/(q**13\/q))\/q)\/q)\/q**(9\/2))\/(q**13\/q*(q*q**(-11)\/q)\/q))**18 assuming q is positive.\nAnswer: q**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 - 2*o - 3. Let n(v) = -v**2 + v + 1. Let w(s) = j(s) + 4*n(s). Let y be w(-4). Let r = y - -3. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.759594 centimeters?\nAnswer: 0.00002759594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.5 (b) -0.4 (c) -68 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -2 (c) -5 (d) -1\/4 (e) -24.35 (f) 3 (g) -2\/17\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -285 - 2\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 411 = -w - 125, -3*w + 3*g + 840 = 0. Let z = w - 275. Solve 8*n = b + 3*n + 23, z*n - 15 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**4 - o + 6 + 127*o**2 + 9*o**4 - 126*o**2 + 2*o as n*o + k + p*o**2 + i*o**4 + h*o**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpmsmmmsmmpmssmmmpz. What is prob of sequence ms?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/(-2109))\/(25894\/(-3959))?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 - 2*b**3 - 210 - 3743*b**2 + 424.\nAnswer: -2*b**3 - 3743*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 273\/14765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-4))\/((-5)\/12). What is the third smallest value in -5, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4453)\/(-15) + 58\/435 is divided by 77?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9284 and 6.\nAnswer: 55704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360413.\nAnswer: 353, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 + 4 - 9*3\/(27\/5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 6)*(-2*o + 0*o - 2*o)*(-11 - 10 + 6)*(7*o**3 - 27 - 26 + 50).\nAnswer: 3780*o**4 - 1620*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:09 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 36. Let s be h(-9). Is ((-808)\/6)\/((-4)\/s) + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/379527875 and -161\/34950.\nAnswer: 2277167250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102201691?\nAnswer: 102201691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168) + (sqrt(168) - (-3*sqrt(168) + sqrt(168)) - sqrt(168)) + sqrt(42))\/sqrt(6) + 2 + (sqrt(7) - (sqrt(7) + 1)**2) + (sqrt(35)\/sqrt(5))**2 + 5.\nAnswer: 6 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1343 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, q: 3, h: 4}. What is prob of sequence qppq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -20*w + 5*w + 13*w. Let s(a) = 651*a**2. Give n(s(u)).\nAnswer: -1302*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*4 + (1890\/(-45) - -30).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 2*c + 2. Let l be z(0). Put 4, l, -4 in ascending order.\nAnswer: -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m + 2 - 4 + 3 + 4. Let o = 7 - -1. Is h(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1514 + -0.1486. Let k = -0.19 + 1.19. Which is the biggest value? (a) 0.41 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**33*t**(-32)*t*t\/(t**(8\/11)*t)*t**(-20)\/t assuming t is positive.\nAnswer: t**(-206\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 8 (b) -6.7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmpvmvmpmvmmpmcvvivc. Give prob of sequence cm.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7469 from -0.01541520706.\nAnswer: -7469.01541520706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 1:06 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 0 - 2\/9*q**3 - 250\/9*q**2 = 0.\nAnswer: -125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**7\/12600 + f**4\/8 + 2*f**2. Let j(y) be the second derivative of b(y). Factor j(r).\nAnswer: -r**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2998.63992 to one dp.\nAnswer: 2998.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -12) + 8 + (-5 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 10:02 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/3 and (-1)\/(-5)*(-546)\/18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*s - 5, -4*m - 3*s = -2*s - 11. Suppose 0 = -2*t + 5*v - v + 750, 3*v = -m*t + 1445. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**2 + 4778420*m - 14335305 = 0. Calculate m.\nAnswer: -955687, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 57. Let c be (84\/(-10))\/(1 - b\/(-20)). Find the second derivative of 21 + 9*j - c + 22*j**3 - 26*j wrt j.\nAnswer: 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.32 + -1.96. Let x = 1.28 + n. Which is the closest to -2\/5? (a) 2\/11 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**5 - 71823*b**3 + 373631*b**2?\nAnswer: -120*b**2 - 430938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 3875*v**2\/2 + 934508*v + 1876770.\nAnswer: (v - 3310)*(v - 567)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2208876569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 352317240 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3391784094 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(4)*1 - (sqrt(10) + -6*sqrt(40)\/sqrt(4)))\/(sqrt(16)\/(sqrt(8) + (sqrt(32)*1)\/sqrt(4))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 5*l = 5*r - 20, 4 = -2*r + 2*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16604011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3073 = -778. What is the tens digit of 2\/3*i\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 8*r**2 + 15.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 + -311001?\nAnswer: -310132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4551, -9097, -13643, -18189?\n\"Answer: -4546*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 440805658 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -399, -2\/25, 2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0 - 1\/70*z**5 + 1\/42*z**4 - z**2 + 1\/420*z**6 + 0*z + 0*z**3. Factor x(i).\nAnswer: 2*i*(i - 2)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*o - 663 = -89*o. List the prime factors of o.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (570*a**2 - 244*a**2 - 288*a**2)*(-a**2 + a**2 - 10*a**2) + a**2 + a**4 - a**2 - 2*a**4 + 5*a**4 - 4*a**4 + (0 + 1 + 1)*(3*a**2 - 3*a**2 - 2*a**4).\nAnswer: -384*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/(-153))\/((-10)\/36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 19\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341, -443, -579, -707, -785?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (8 - (-7 + (-3 + -6 - -6))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctgg when four letters picked without replacement from tmtcumqcgmmqugu?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-57) - (-3)\/18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 739165*w\/4 + 19775526.\nAnswer: -(w - 107)*(w + 739272)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d = 3*u - 18, 0 = 5*u + 5*d - 20. Let k be 1*(9 - 0)\/(-1). Let h = 14 + k. What is the greatest common divisor of u and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1438892 (base 10) to base 9\nAnswer: 2632708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/140 and -47\/52.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.8338 centimeters to nanometers.\nAnswer: 178338000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 273048 + 0.83\nAnswer: 273048.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (16 + 14 - 12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 295\/2? (a) 1 (b) -10 (c) 2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 0)*1*(3\/(-4))\/1. Solve n*i + 46 - 34 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -720, 1, -6, -14 in decreasing order.\nAnswer: 1, 0, -6, -14, -720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -9, 125, 2\/5, -38?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 69*l - 86. Let r be (8\/(-4) + 3)*(21 - 0). Is v(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 2375982.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*n + 3321 = -356*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 5*f**2 - 6*f - 3. Let p be s(-4). Let o be 2\/(-10) - (-384)\/(-30). Let m = o - -16. Solve 0*y = 4*y + 4*r + 8, 14 = -p*y - m*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 14.752\nAnswer: -59.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404804526 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 184?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 8*p**2 - p + 11. Let u be t(8). Suppose -1297 = -5*h + 4*b, -u*b = -5*h - 664 + 1958. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259909, 259916, 259929, 259948, 259973?\nAnswer: 260004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1618411494 and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(192\/664) - (4 - -1) - 2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10053089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 2*z - 4. Let o = 0.2 + 0. Let h = o + 0.2. Put z, h, 5 in decreasing order.\nAnswer: 5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 5 - 7 + w**2. Let o be c(-2). Suppose -3*l = -l - o. Solve -l*y + 1 = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4 + 8 - 6*a + 7*a + 5*a. Calculate x(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27011305 + 4?\nAnswer: -27011301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/2103 and 53\/27?\nAnswer: 18927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.4235g in micrograms?\nAnswer: 144423500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*t + 7. Suppose 200 = l + u, -5*l + t*u = -l - 835. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2279315 - 7.3\nAnswer: 2279307.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022 (base 8) to base 13.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g**3 - 1965*g**2 + 1313*g - 709. Determine h(-219).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40099268 divided by 22.\nAnswer: 1822694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n - 2. Let c = 24 - 21. Let t be (5 + -5)*c\/6. Determine s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69\/94 + 4471\/376. Let b = 7733\/3 + -2571. Find the common denominator of b and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 3*r**5)*(-5 + 20 + 0).\nAnswer: 45*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1388 and 251652381?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1386*h*u*z**3 - 2788*h*z + h - 4*u*z**3 - u*z**2 + 2*z**3 with respect to u.\nAnswer: 1386*h*z**3 - 4*z**3 - z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16260321 and 86559.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 + 1501708754*g - 1501708754*g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1732.4 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19877 and -16.\nAnswer: -318032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 - -6 - (-67 + 25 + -32).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -11. Suppose 2 = 2*n - 3*n + 4*k, k + 28 = b*n. Calculate the least common multiple of 1\/1 + (4 - -1) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/32 and -23\/120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 10. Let l be w(-5). What is the third derivative of -2*j**5 + 3*j**2 + 2*j**2 - 7*j**5 + j**l wrt j?\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14811405 is divided by 1697.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 71123430 to the nearest one million.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -9569\/2, 1, 0.3, -0.25, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-876)\/16*(-4)\/(-18). Let c be 29\/2 + (-2)\/1. Let i = c + r. Sort 0.3, -1\/2, i in increasing order.\nAnswer: -1\/2, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005174574069 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgg when three letters picked without replacement from dddddggddgddddgddd.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + (4 + -2 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 693397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 6135064 - 6135064.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + o + 0)*(4*o**2 + 4*o - 4*o) + (-3*o**2 + 2*o**2 + 3*o**2)*(-3*o + o + 3*o) to the form a*o**3 + c*o + r*o**2 + y and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-240)*-12 - 34.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 251 = -90 - 9. What is the closest to 1\/3 in 3, n, -0.07, -0.2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(171) + sqrt(171) + (sqrt(171) + sqrt(171)*1 + sqrt(171) - sqrt(171)) + sqrt(171))**2 + (-2 + sqrt(171) + 0 + sqrt(171))**2.\nAnswer: -24*sqrt(19) + 4965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(720) + 3 - ((-1 + sqrt(720) - sqrt(720)) + 0 + sqrt(720)))**2 + (-3*(2*sqrt(800))\/((sqrt(40) + sqrt(120)\/sqrt(3))\/sqrt(4)))**2.\nAnswer: -192*sqrt(5) + 3617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*j - 231*j = 0. What is the hundreds digit of (j + (-1)\/3)*(-84111)\/53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -58.65?\nAnswer: 293.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*q**2 - 19*q - 402 + 402 wrt q.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Let k = 4 - p. Let n be 11*(-4)\/(-16) + -3. Which is the nearest to 1\/3? (a) n (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2 + 95*z**2 - 6 + 0 + 4. Let q(v) = -v**2. Give t(q(k)).\nAnswer: 95*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhiyiiyiihihhiiyycy. What is prob of picking 3 c and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.3 - -7. Which is the nearest to m? (a) 3\/4 (b) -2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -147 - -55102?\nAnswer: 54a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 6*j**2 + 22*j - 78. What is g(3)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*(14\/(-4) + 3) - -8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 32 - 13)*(0 - 2 + 1)*(-3*n**4 + 0*n**4 + 4*n**4) to the form f*n**2 + v*n**3 + y + c*n**4 + p*n and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3017 - -21115\/7. Which is the third biggest value? (a) 12 (b) -2\/13 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 + 24 = 0. Let s be 2 + 8\/l + 3. Suppose -6*i = s*i - 27. Put 12, 2, i in descending order.\nAnswer: 12, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5462*w**2 - 7407*w. Let r(s) = -2731*s**2 - 3703*s. Let n(a) = -6*g(a) + 13*r(a). Find the second derivative of n(l) wrt l.\nAnswer: -5462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let t(i) = -176 - 167 - i + 383. What is u(t(v))?\nAnswer: 2*v - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10)*(-21)\/(-10080)*48)\/(22\/8).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38604 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -525*u**3 + 50*u**2 + 150. Let g(i) = -31*i**3 + 3*i**2 + 9. What is 50*g(n) - 3*q(n)?\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, o: 5}. Give prob of sequence oj.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*m = 109*m + 69. Suppose -537 = -9*x + 489. Calculate the remainder when x is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 3*j - j)*(9 - 2*j + 2 + 8).\nAnswer: -10*j**2 + 95*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433\/2*r + 46 + 3\/4*r**5 + 1089\/4*r**2 + 47\/4*r**4 - 457\/4*r**3 = 0. Calculate r.\nAnswer: -23, 1\/3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 283.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 184b - 0?\nAnswer: 184b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -1\/30*t**4 + 0*t**2 + 2\/5*t**3 - 18*t - 1\/50*t**5 + 0. Let j(x) = 0. Calculate x.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**(-15\/8)*(g\/g**(2\/17))\/(g\/(g*g\/(g**4*g))))\/(g*g**(-2\/9)*g\/(g*(g*g\/g**(2\/9))\/g))**(-49) assuming g is positive.\nAnswer: g**(-1739\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 0. Let z(k) = 2*k**2 - 16*k - 13. Let t be z(y). Does 46 divide 47 - ((-4 - 0) + t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1026 * 68.17\nAnswer: -6.994242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g + 8. Let o be (-1 + g)\/(3\/(-4)). Let v = o + -1. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -371 - -641. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12782, 12462, 12238, 12116, 12102?\nAnswer: 12202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54967815 divided by 23?\nAnswer: 2389905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-4 - -5))*-1. Solve -2*f + 2 = l, 5*l - 6 - 4 = r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/9)*q**11)**(-30)*(q*q**9\/q*q*(q\/(q\/(q\/(q\/q**(-2\/9))*q)))\/q*q)**(-2\/17) assuming q is positive.\nAnswer: q**(-56294\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7166259 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1.4 (c) -1 (d) 2\/5 (e) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110111 + 111101?\nAnswer: -110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -10 - ((-1 - -15) + -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -11000110001111010?\nAnswer: 11000110001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q**(5\/3)\/q)\/q))**(13\/7)\/((q*q**(-2\/7)*q)\/(q\/(q\/(q*q\/((q**(3\/11)\/q*q)\/q))))))**(-29\/3))**(2\/55) assuming q is positive.\nAnswer: q**(-46748\/38115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2543236 (base 7) to base 8.\nAnswer: -1204553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -213180210.8 rounded to the nearest one hundred thousand?\nAnswer: -213200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2934*w - 24 = 2926*w. Suppose p = -5, 12 = -2*s - 0*s - 4*p. Suppose w*t + 132 = q, q = -s*q - 5*t + 760. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1342\/5124 + (-6)\/28\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/8*752\/6204\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -10c13?\nAnswer: 10c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*s = -53, 10*s - 49 = -3*h + 9*s. Calculate the greatest common divisor of h and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*r + 8745 + 12290 - 579 = -25624 for r.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -1211, -52, 5 in descending order.\nAnswer: 5, -52, -66, -1211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -1. Let o(t) = 3*t**3 + 4*t**2 - 3. Let u be o(-3). Let y be 6\/8*u\/42. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 1 + 0 + 2*j**2 - 4 to x*j + s + t*j**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 5. Suppose -4*x = -2*q - 24, x - 2*x + 12 = q. Suppose x = w - 2*w + 2*a, 3*w - a = -14. Put w, s, -1 in decreasing order.\nAnswer: -1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136 + 74424?\nAnswer: 74561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3215 + 3214.9999472. Round b to 6 decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 707387\/292361 - 2\/9431. Is a at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4399 + -4394. Solve k + d - 8 = -13, 0 = -x*k - d - 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(68) + sqrt(68))**2 + -1*(sqrt(17) + sqrt(17) + 1) + 1.\nAnswer: -2*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98)\/1617)\/(24\/(-49104)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 9*m = -28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 10*j + 14*j)*(2 + 0 - 3)*(-2*j**4 + 4*j**4 + j**4).\nAnswer: -81*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 87?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*c = -5*z - 25 - 14 - 13, 5*c = -4*z - 136 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(16\/14 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4977953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:44 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2. Let p be g(-2). Suppose 2*n + 42 = p*n. Let u = 10 - 2. Calculate the remainder when n is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((2\/(-3))\/((-48)\/16)). Let z be (7 + (-160)\/24)\/((-2)\/o). Sort -43, -5, z.\nAnswer: -43, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7678 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000345786827 rounded to 7 decimal places?\nAnswer: 0.0003458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*c - 5*f - 5, 4*c = 3*f + 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 7 = -8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064486 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548906 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 - -115. Let j = -24 + t. Suppose 14*d - j*d = 47. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 392 = 101 - 77 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 38*l - 1109. Let r be t(-35). Let h = 0 - 0.1. Which is the nearest to 0? (a) h (b) -0.3 (c) -0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-674)\/(-120) + (-9)\/12)*10005\/2001\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*y + 8 + 28 = 0, -5*b + 28 = 2*y. Solve 21 = -c - b*s, 0 = 2*c - 40*s + 42*s + 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 + v - 3. Let s(i) = -11096*i**2 + 4161*i - 12483. Determine -4161*g(a) + s(a).\nAnswer: 1387*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*b = -10, 2*k - 6*b + 2*b = -10. Let v(d) = d**3 + 6*d**2 - 7*d - 7. Find the common denominator of 2\/(-7) - (-3553)\/308 and v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z. Let o be y(1). Let w be (-9)\/6*o\/3. Put w, -1, -2 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -32?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a9a4 (base 15) in base 3?\nAnswer: -1200112211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 - -37234.5495601\nAnswer: 37236.0495601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-4))\/((-3)\/6). Suppose 0 = -3*l - 3. What is the closest to l in -0.3, r, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43, -96, -151, -208, -267, -328, -391?\n\"Answer: -b**2 - 50*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7992710 is divided by 1087?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arrh when four letters picked without replacement from {r: 3, x: 4, h: 4, a: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7*y = -25. Suppose y*n - 53 = -4*d, -2*n - 100 = -5*d + 3*n. What is the remainder when d is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21649 by -21649.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -34*t + 31*t - 4*d, -5*d = -t - 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100101 + -11111111?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2886 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35252213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3237\/(-747)*3\/(-91)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.24 + -14. Let j = l - 0.04. What is the closest to 2 in 0.1, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*((-6)\/10)\/((-144)\/120)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/24628 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 67874 - 2273. Does 109 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 3*w**2 + 4*w + 5. What is s(3)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -52694 and -52696 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1.58, 1\/730, 4.3.\nAnswer: -0.1, 1\/730, 1.58, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 580*o**4 + 1088?\nAnswer: 2320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -696*k**2 - 708*k**2 + 1405*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1406)\/34447)\/((-6)\/(-70)*(-55)\/(-11)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + z - 23. Let b be i(-6). Suppose 27 + 29 = -b*k. Let j(w) = 3*w**2 - 2*w + 1. Let y be j(1). Is y < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 1362*i**2 - 50052*i + 48688.\nAnswer: 2*(i - 34)*(i - 1)*(i + 716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10115 = 6*x + 2*x - 42339. Is 210 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72939171 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 2, 0.2, -0.4, -175?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5589 (b) 0.07 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -574*o**3 - o**2 + o + 1. Let u be b(-1). Suppose -2*j = j - u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/3958 and -101\/3958.\nAnswer: 3958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -239 (base 10) to base 14.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 571 + 619 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32759263?\nAnswer: 32759263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.016 - 0.026. Let z = d - -0.056. What is z rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -2*o + 3*o. Let g be -26*(o\/(-2) + 2). Suppose -g = -5*d + 1672. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134283, 537208, 1208777, 2148990, 3357847, 4835348?\nAnswer: 6581493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a + 116 = 728. Solve 20 = 8*s + a*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 2\/(-4))*(-2 + -2). What is the derivative of 22*d**2 - 43*d**t - 29*d**2 + 13 wrt d?\nAnswer: -100*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*sqrt(98)*-1*3 - ((1 + sqrt(2))*4 + 0 + sqrt(162))*-6).\nAnswer: -96 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 7 + 0 = 0. Let k = r + 9. Find the first derivative of -1 + 7*p**k - 4*p**2 - p**2 - 3*p**2 wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -322, -632, -952, -1282, -1622, -1972, -2332?\n\"Answer: -5*l**2 - 295*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjttttjjjj. What is prob of picking 3 t?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 150\/20*(-2)\/3. Put d, 5, 2 in increasing order.\nAnswer: d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:15 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955889411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let t(x) = -6*x + 12. Let y(p) be the second derivative of -p**3 + 11*p**2\/2 + p - 9. Let o(w) = 4*t(w) - 5*y(w). What is -35*l(c) - 5*o(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 4. Let w be j(-4). Let z be (w\/(-6))\/(4\/6). Let m be 3 + 7\/(z\/(-2)). Is m <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2238 - 1117 - 32*d - 1121 + 6*d.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 7*r + 7. Give s(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14 + -18 - (1 - 5). Suppose 3*b + 0*b - 12 = -3*j, 3*b = a. Suppose -5*m + 64 = j. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 99?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 2*d**4 + 1 + 4*d - 15*d + 24*d + 8*d + 8*d + 6*d**2 to w*d**3 + s + g*d**4 + b*d + y*d**2 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4964911\/7745030 - 6\/45559. Calculate the common denominator of l and -139\/70.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4749793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -180*z**2. Let w(a) = 11423*a. Determine w(f(y)).\nAnswer: -2056140*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/179 (c) -0.04 (d) 6 (e) 118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(418) + 2*sqrt(418) + sqrt(418))\/sqrt(11) - (sqrt(38) + -2*sqrt(38)*3))\/(((sqrt(12) + 3*sqrt(12))*5)\/sqrt(6)).\nAnswer: 9*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 13. Let l = 21 - o. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -76. Which is the nearest to u? (a) -0.8 (b) -0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -206 + 8. Let l = -32 - i. Do -3\/17 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133328, -133355, -133376, -133385, -133376, -133343?\nAnswer: -133280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t + 621. Let r be (-46)\/t + (5\/3 - 1). Let s = -1 + 3. Which is the nearest to s? (a) r (b) 6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x. Let g(t) be the first derivative of -7 - 2\/3*t**3 + 0*t + 0*t**2. Give g(i(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 6. Let v(m) = -5*m**2 + 31. Let j = 112 + -114. Let f(h) = j*v(h) - 11*x(h). Let w(s) = s**3 - s**2 + 3. Let g be w(0). Calculate f(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(2\/5))\/j*j))**(-44)\/(j**(3\/5)\/j**(1\/29)))**(-42) assuming j is positive.\nAnswer: j**(-20748\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 142aa - -3aa?\nAnswer: 14698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/60 + s**4\/24 - s**3 + 3*s**2. Let q be 6*(2 + -3)*2\/2. What is the lowest common multiple of p(q) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3633637 to the nearest integer?\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 2.7 (c) 51 (d) -2872 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2, -2\/61 in ascending order.\nAnswer: -2, -2\/61, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186 - 82 + 6*s**3 + 59*s**3 + 41*s**3 wrt s.\nAnswer: 318*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (-5 - -1) + 29. Suppose 3*h + y = 5*h. Find the second derivative of -h*x + 14*x**4 - 50*x + 44*x wrt x.\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.3. Let x = 78\/41 + -308\/205. Which is the third biggest value? (a) r (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-1\/11)))\/i**(13\/5)*(i**(-1))**0 assuming i is positive.\nAnswer: i**(-138\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**3 + 2*p**2 - 3*p - 3. Let s(j) = j**2 + 8*j + 8. Let b be s(-7). Suppose b = w + 3. Is i(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 61 = 34*q. What is the lowest common multiple of q and 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 c when four letters picked without replacement from {c: 2, b: 2, z: 4, a: 1, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117\/2 + 60. Factor 3\/2*b**4 + 0 + 0*b**2 + 0*b + k*b**3.\nAnswer: 3*b**3*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2494*a - 182. Let b be o(-7). Let c be (-5)\/(-10) + (b\/8)\/(-7). Is -308 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 14, b: 5}. Give prob of sequence xx.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2925 divide 131521496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(130)*-1)\/((sqrt(100)*4 + sqrt(100))\/sqrt(10)))**2*5.\nAnswer: 117\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (220 - 212) + (302\/(-30) - -2)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 482*i**4 - i**2 + 2*i + 2*i**3 + 425*i**4 + 0*i**2 + 1 - 2*i**2 to o*i**4 + v + f*i + h*i**2 + x*i**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 4)*(-3*j + 0*j - 2*j).\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5883 + 5892. Let o = -5 + 6. Sort 4, t, -2, o.\nAnswer: -2, o, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 561?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46025437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(8\/6)*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 586*6\/(-360) + (-2)\/(-12). Is z at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**2 + 42125*i*r**3 - 2184*r**3 + r**2 wrt i.\nAnswer: 2*i + 42125*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3831?\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15572)\/(-816) - (-5)\/(-60)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -215387 (base 9) to base 4\nAnswer: -133121302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -87. Let a = p - -64. Let c be a - 1 - (-1 + -2). What is the greatest common factor of c and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-25)\/200*(-130)\/5.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 4*a - 96. Suppose -5*r + 6*f - 2 = 2*f, 2*f + 4 = 5*r. Suppose -r*j = p, 0 = -6*j + 7*j + 3. Calculate the highest common divisor of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-12) + 217\/4. Suppose 0*x - 2*x - a = -2*z, 4*z = -5*x + 99. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-7)\/(-56)*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 150, 1527, 5434, 13137, 25902?\n\"Answer: 211*c**3 - c**2 - 97*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -17.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11832 and 15096.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -74*(-118886)\/4 - -2. Suppose -2*u - 2*u = 5837572. Let n = u + g. Round n to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclcclccccc. Give prob of sequence cc.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 11*m - 9*m + 2, 4*u - 5*m + 18 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 - 1)*(3 + 2*y - 3) + 4*y - y - y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 14*p - 8. Determine s(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 (base 9) in base 16?\nAnswer: -19e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -41, -38, -35, -32, -29?\n\"Answer: 3*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 493743900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 149331859411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-5)*v)\/(v\/(v**3\/v*v)))\/(v**(2\/3))**23*v**(-6\/7)\/v*v*v**(-2)*(v*v**(-1\/4))**9 assuming v is positive.\nAnswer: v**(-961\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 take away -0.133?\nAnswer: 156.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e3 + 2?\nAnswer: e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l - 6. Let v be f(-5). Let r = v + 1. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -3131?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 7\/(-21))\/((-2)\/603). Find the second derivative of -27*p**5 - 435*p - 8*p**5 + 356*p + j*p**5 wrt p.\nAnswer: 3320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + 152\/56. Suppose 0 = -5*v - 10, -117 = -2*l + 4*v + w. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - d - 11, -124 = -13*h + h + 5*d - 171 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u**2 + 61 - 61)*(2*u**3 - u**3 - 4*u**3) + (u**3 + 2*u**4 - u**3)*(-7*u + u + 2*u) + (0*u**2 - u**2 + 2*u**2)*(-3*u + 3*u + 2*u**3).\nAnswer: -36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 6*t - 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 8. What is the closest to 0 in 0.4, 4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 2. Let o = 10 - n. Let h = o + -15. Which is the second biggest value? (a) h (b) 0.4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3709 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 9*t**2 - 10*t + 27. Let s be f(10). What is the greatest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/864 and -137\/132.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34277488 or 34277489?\nAnswer: 34277489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w - 2. Let v be a(-1). Suppose 8 = -4*p - v. Let t be (-8*1)\/2 + 3. Let x(q) = -4*q**2 - 1. Let h(l) = l**2. Give p*h(s) + t*x(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 6*p + 34 = 0. Let x(u) be the second derivative of -5*u + 0*u**p + 1\/6*u**4 + 0 + 1\/3*u**3. Factor x(v).\nAnswer: 2*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**6\/6 - 343*u**5\/2 - 591665*u**4\/12 - 195510*u**3 - 292410*u**2 + 47*u - 44. What is c in r(c) = 0?\nAnswer: -342, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l**3\/4 - 675*l**2\/2 - 4227*l\/4 - 549\/2 = 0. Calculate l.\nAnswer: -61, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4956?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 780882481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8*u = 1276. Round u to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 22, 5, 0.4 in increasing order.\nAnswer: 0.3, 0.4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**5 - 45*y**4 + 100*y**3 + 100*y**2 - 480*y + 320 = 0?\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3648 and 147687?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4231118798?\nAnswer: 2, 2115559399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (11 - 3) + -6 - 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.234 greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -5, -2\/11, 14647?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302246 (base 9) to base 11.\nAnswer: -112384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/98, -2\/3, 2, -3 in decreasing order.\nAnswer: 2, -1\/98, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6280 to the nearest one hundred.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:32 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428051779 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/203? (a) -4 (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2 - 16. Suppose g*t - 3*t = 42. Calculate the least common multiple of t and (11 - -9) + (-90)\/(-9).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -18*k - 5. Calculate u(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16 = 5*o, -3*a + 13 = 5*o - 10. Suppose -12 = 4*l, 0 = 4*y + 46*l - 48*l - 14. Solve -o = y*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99 + -2a?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -8, -9, -2\/29, -66, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 3, d: 7}. What is prob of picking 1 k and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.49 - 38. Let l = j - -0.01. Let v = -5 - -1. Put v, -3, l in decreasing order.\nAnswer: l, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6165, 8289, 14059, 25299, 43833, 71485, 110079, 161439?\nAnswer: 227389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 85 - 91 - (1 + -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(75))**2 + 2 + -5.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + -54 + 88 - 208.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9352, 18701, 28050, 37399, 46748?\n\"Answer: 9349*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, f: 4, k: 1, o: 3}. Give prob of picking 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + (3 + 48 - -3 - 16)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:52 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 + -2.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 887, 36, -809, -1648?\n\"Answer: 3*b**2 - 860*b + 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100944 and 288?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/9 + -1 - 6\/27\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/2*16\/(-72). Let f = -5.5 - -6. Which is the nearest to u? (a) -6\/5 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, -5 in increasing order.\nAnswer: -5, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 35 times -0.06\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/((x**(7\/5)*x)\/x))\/x))**(-20)*x**(2\/45)*x*(x\/(x**(10\/11)*x))\/x assuming x is positive.\nAnswer: x**(-24188\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6536770*x**5 + 68*x**2 + 119194*x wrt x?\nAnswer: 392206200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3444998 to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8091819 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*v + 2145 + 62*v + 64*v - 4289 + 2144 - 194*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*1*-18*442\/(-104)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/11 in 15, 8, -13, 1\/5, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4352 is divided by 1022?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6277100677?\nAnswer: 83, 75627719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d + 11. Let f(s) = 11*s - 9. Determine -3*f(j) - 2*n(j).\nAnswer: -11*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*p**2*s**3 + 28933*p**2*s**2 + 9*p**2 - 7586*p*s**3 - 2*p*s**2 + 2144*s**3 wrt p?\nAnswer: 16*s**3 + 57866*s**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167477991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -3251?\nAnswer: -3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 - -2) - (-8 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 27 = -2*x, 3*f - 4*x - 16 - 15 = 0. Let y = -13 + f. Is ((-3)\/y)\/((-3)\/60) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(112) - 5*sqrt(22)\/sqrt(2) - ((sqrt(11) + 0)*4 - 2*(1 + sqrt(11)))**2.\nAnswer: -48 + 13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201 + 205. Suppose -699 = -3*j - 3*u, x*j - 384 - 532 = 4*u. What is the remainder when j is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let o(w) = -11*w**2 - 30*w - 11. Suppose 0 = 11*l - 26*l + 15. Let d(p) = l*o(p) + 5*z(p). Factor d(c).\nAnswer: -(c + 3)*(11*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, h: 10}. What is prob of sequence khk?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/8, 3\/10, 0, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1351815641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.44584 litres in millilitres?\nAnswer: 97445.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 1. Let u(g) = -g - 6. Let o(i) = 5*k(i) - u(i). Suppose -3*x - 8 - 4 = 0. Let n(t) = t. Let f = 17938 - 17937. Give f*o(d) + x*n(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*i + 33 - 1, i = 4*h - 60. Suppose -h*w = -10*w - 174. What is the remainder when 144 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 7)*(1 - -1). Suppose 7*g = n*g + 25. Factor -2*b**3 + 5*b**3 - b**2 + 6*b**5 - 3*b**4 - 5*b**g.\nAnswer: b**2*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -82*r - 205. Calculate y(-4).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 70*z**3 + z**2 - 2*z + 1. Let m be t(1). Suppose 4*h = -0*h - 3*c + 130, -2*h + m = 4*c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 29*m**2 + 4 - 2*m**2 + 12 - 17*m**2 + 0*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -10246?\nAnswer: -10241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*x - 2*x - 145, 4*x = -4. Let o be (-15)\/2*b\/(-35). Let s(m) be the third derivative of -m**5\/60 + 5*m**4\/24 + m**3 + m**2. Determine s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k**3 - 4*k**2 + 4*k + 19. Let l(t) = -12*t**3 - 5*t**2 + 5*t + 20. Let v(p) = -4*l(p) + 5*x(p). Find the first derivative of v(a) wrt a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -9*o + 476. Let y be 385\/o + -1 + -6. Factor -2\/7*q**4 + 0 + y*q**3 + 0*q - 4\/7*q**2.\nAnswer: -2*q**2*(q - 2)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 9:55 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(154) + (-1*sqrt(154) + sqrt(154) - sqrt(154)))\/sqrt(11) - sqrt(14)) + (sqrt(84)*2)\/sqrt(6))\/(sqrt(112)*-1*-5))**2 + -5 + 1.\nAnswer: -799\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1463, -0.3, 3\/4, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13 - p**3 + 9612*p**4 - 209 - 9621*p**4 wrt p?\nAnswer: -36*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(6) - (sqrt(6) + (sqrt(96)*1 - sqrt(6)) + sqrt(6) + sqrt(6))) - (-5*(3 + sqrt(475)))**2.\nAnswer: -12100 - 3751*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 12. Let t be y(-4). Suppose 2*k - 2*s - t = 0, -22 = -3*k - 4*s + 23. Suppose k = -q + 14. Solve 2*w = 5 - q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13542157 and 27448.\nAnswer: 3431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (14 + -4)) + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(1\/10) + -2. Solve 17 = -c*y + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17 and 2.27.\nAnswer: 19.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9928465 to the power of 1\/2, to the nearest integer?\nAnswer: 3151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16*n**2 - 184*n - 89. Determine j(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1732 + -82758.\nAnswer: -82757.8268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**3 + 2*d**2 - 20*d - 5. Let a(h) = -h**3 - h**2 + 3. Determine 2*a(f) + k(f).\nAnswer: 2*f**3 - 20*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 1\/12*b**3 - b**2 + 1\/48*b**4 - 1\/240*b**6 + 0*b + 0 - 1\/120*b**5. Factor p(u).\nAnswer: -(u - 1)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 3*p + p. Let x(t) be the third derivative of 0 + t**2 - 1\/8*t**4 + 0*t**3 + 0*t. Give q(x(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.924 to 1 dp.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d - 97. Let n be t(-10). What is the smallest value in -365, n, -4\/7?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48997043*u**3 + 101440*u**2 + 6*u - 4 wrt u?\nAnswer: -293982258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 253 - (-4)\/(-6)*72\/(-48). Let c = 264 - d. Solve -9*h = -4*h - c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*n*q**3*v - 2357*n*q**2*v - 483*n*q**2 - n*q + 149466*q**3*v wrt q.\nAnswer: 96*n*v + 896796*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2832 and 2183?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 512\/40)*(-8)\/(160\/(-50))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - 3*z**3)*(0*z**2 - 2*z**2 + 0*z**2 + (5*z - 3*z + 0*z)*(5*z + z - 3*z) - 5*z**2 - 52*z**2 - 128*z**2).\nAnswer: 543*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.711 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.3, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11796*d**2 + 12049*d**2 - 23734*d**2.\nAnswer: 111*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2157 + -2192 - (-4 - 80 - -3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 3*q + 3. Let p(f) = 2*f**2 + 5*f + 5. Let t(u) = 6*p(u) - 10*y(u). Let k(l) = 3*l**2. Give k(t(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2\/5, -3, -1.9 in descending order.\nAnswer: -2\/7, -2\/5, -1.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-209)\/(-11) - 13)*(-28)\/(-24). Sort q, -4, 21, -2 in ascending order.\nAnswer: -4, -2, q, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b - 189. Is u(29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*(1 - 19\/57)*-33.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c + -2b7?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 42 = 26. Let d be (-140)\/(-15) + w\/12. What is the greatest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26815391443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -86 (b) -0.4 (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-109798)\/(-451))\/(-13) - (-7)\/((-154)\/6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 5*u**2 - 7*u - 1. What is l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-1*sqrt(220))\/sqrt(10) + sqrt(22))*-3)\/(-1*sqrt(88)\/sqrt(8)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.002 - 13.998. Let b = h + 13.99999988. What is b rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 1, u: 5, s: 2}. Give prob of picking 1 u, 1 y, and 1 s.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551787 is divided by 706.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v + 5*t + 25 = 0, 0 = -v + 2*t + 10. Let p be 0\/((-2)\/1 - v). Let w(a) = 6 - a + p*a - a**2 - a. Give w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*((-2 + 3 - 4)*(2 + h - 2) + 4*h + 3*h - 6*h) + (-5*h - 5*h + 2*h)*(-4 - 16 + 3).\nAnswer: 130*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/133237 and -77\/15392?\nAnswer: 4263584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5746.443kg in tonnes?\nAnswer: 5.746443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 2 + 3 - 2*v - 6 + 2 as d*v**2 + x + w*v**3 + l*v + h*v**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -7\/2*o**2 - 1\/10*o**5 + 5\/3*o**3 - 3*o + 0 + 3\/4*o**4. What is the tens digit of f(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9738)\/(-7) + (-24)\/21 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {e: 7, p: 3, h: 2, f: 1, k: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71918453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1561?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z - 2*p + 14234 = 0, 3*p - 32031 = -9*z. Is 178 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -17135*d**3 + 575*d**2 + 575*d - 575. Let x(y) = -119*y**3 + 4*y**2 + 4*y - 4. Give -4*w(g) + 575*x(g).\nAnswer: 115*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.4 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/9)*z*z*z**(-8))**(1\/15)*((z*z\/(z\/z**(-1))*z)\/z*z*(z*z**(-3)\/z)\/z)**50 assuming z is positive.\nAnswer: z**(-20297\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 3:05 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-2 - ((1 - 2) + 1)). Let i be o\/11 + 265\/55. Solve -i*r = -t - 10, -t + 0*t = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m - m)*(-2*m + 2 - 2)*(3*m - 16*m + 0*m)*(5 + 1 - 4).\nAnswer: -104*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14618 (base 10) to base 12\nAnswer: 8562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**3 - i. Let b = -6 - -5. What is the lowest common multiple of 4 and t(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 5*p = 3*k - 40, 0 = 4*p + 4*k - 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c - 1. Let z(t) = -8*t**2 + 4*t. Calculate 5*a(s) + 5*z(s).\nAnswer: -40*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + m = -2*t + 25301, 3*m = -5*t + 31621. Suppose 2*w - t + 1108 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1660554 and 2564748?\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j**2 - 4*j. Let q = -734 - -739. Let t(h) = -62*h - 14. Let w(r) = -22*r - 5. Let v(m) = q*t(m) - 14*w(m). Give l(v(y)).\nAnswer: -24*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9)\/x)**50*(x\/x**(-2\/3))**(13\/6))\/((x\/x**(1\/6)*x*x*(x\/x**(-5))\/x)\/((x\/x**2*x)\/(x\/(x\/(x**(-2\/7)\/x))))) assuming x is positive.\nAnswer: x**(-1345\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:48 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 145*r**3 + 2*r**2 - r. What is j(1)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15382167833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 35*u**2 + 9*u + 7. Determine k(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 + 2435546*h**2\/5 + 148314885840*h + 10824391017000.\nAnswer: 2*(h + 73)*(h + 608850)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-6)\/198) + 16\/(-24)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*x - 4*g + 27, 5*x = -g - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17680641 is divided by 1072.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**3 - j**2 - 3*j - 3. Determine s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.44? (a) -3 (b) 1\/21 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 = 4*v + 8, v + z = 9. Suppose -2*x = -23 + 5. What is the remainder when x is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6676*u + 144458 = -9090 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 19*c**2 - 89. Let i(u) = -345*u. Calculate p(i(g)).\nAnswer: 2261475*g**2 - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2421493\/68 - 35611. Calculate the common denominator of 23\/8 and a.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v**2 - 5223*v + 1497. Let y(z) = 43*z**2 - 13058*z + 3743. Let j(p) = 26*o(p) - 10*y(p). Suppose j(w) = 0. Calculate w.\nAnswer: -373, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -752 (base 8) in base 15?\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1, 0.4, -2101772, -2, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -623919, -0.4 in ascending order.\nAnswer: -623919, -2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 2. Let a(q) = q**2 + q - 3. Let c be a(p). Find the second derivative of -2*d**5 - d**5 - c*d + 0*d wrt d.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4, 0 = d + 3*d - f - 2. Calculate the lowest common multiple of (21\/(-14))\/((-116)\/(-128) - d) and 17.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234962 greater than 2234956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35921 divided by 12.\nAnswer: -35921\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1666514 and -4?\nAnswer: 6666056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81198 + 81197. Let p = -5.5 + 0.5. Which is the closest to -1? (a) 0.3 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -21. Suppose 2*a - q = a. What is the remainder when 23 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.81868ms in minutes?\nAnswer: 0.001446978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**3\/3 - 3*g**2 + 2*g + 6. Let v be k(6). Differentiate v*z**3 + 7 + 2*z**3 + 3*z**3 with respect to z.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51752615149.8 - -51752614068.800000521. Let c = 1081 + q. What is c rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let j = -28 - -31. Let q be -4*(-57)\/2*j\/18. Let i(a) = 2*a - 4*a + 19 - q. What is i(u(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17755519127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**24\/t*t)\/t)\/((t\/t**(-1\/4))\/t)*t**(-15)\/(t*t**34*t))**(2\/23) assuming t is positive.\nAnswer: t**(-113\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4063\/784 or 5?\nAnswer: 4063\/784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*((0 - 3 + 2)*(2*t - 2*t - 4*t) + 5*t - 67*t - 117*t).\nAnswer: -175*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3941002448 to the nearest integer?\nAnswer: 62777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 690456 and 30264?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319032 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((12\/8)\/3). Suppose 5949071 = i*j - 12850929. Round j to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 46. Suppose -11*d = 3*d - 70. Put d, -2, 1, k in decreasing order.\nAnswer: d, 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 47, 529, -3, 5 in increasing order.\nAnswer: -3, 5, 47, 55, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1133 and 0.03.\nAnswer: 33.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 17960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*d - 111*d + 855 - 87*d - 891.\nAnswer: 13*d - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001070993 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201560*l**3 - 3339830*l**3 - 56*l**2 + 56*l**2 + 2.\nAnswer: -3541390*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(68)*-2)**2 + -4 + 3 + (sqrt(68) - (sqrt(68) + 1)) + sqrt(68))*-2.\nAnswer: 12*sqrt(17) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3263280708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*v - 1 - 0, 2 = -2*s. Let f be (8 + 2)\/(v\/2). Is 10388\/f - 4\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142 - -204. Let x = o - 66. What are the prime factors of x\/(-18) + (-17724)\/(-189)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*i - 9081 - 16227 = 17000 - 2828 for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 133 + 0*w - w - 126 as f + g*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 57*t - 53. Determine s(-57).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*t**6 - 379*t**2 + 268*t**2 + 370*t**2 + 8*t**3 wrt t?\nAnswer: -960*t**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 4*w + 5. Let u = 205\/882 + -417\/49. What is the common denominator of u and (7\/(-14))\/(w\/262)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*m - 4, -2*b = 2 + 2. Let q(z) = -m*z + z + z - z. Let d be q(-6). Solve 0 = -4*a - 2*x - d, a + 0*a + 1 = -x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102053, -163342, -224643, -285962, -347305, -408678, -470087, -531538?\nAnswer: -593037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 4*b**2 + 4*b + 11. Let q(g) = -13*g**2 - 28*g + 1. Let s be q(-2). Calculate x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d = 28*d - 46. Calculate the remainder when 91 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b**2 - 29*b - 6. Let a be q(-4). Suppose 3*t - 3*s + 27 = 0, -5*s + 15 = 2*t - t. Put -1, t, 3, a in descending order.\nAnswer: 3, -1, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 3 = 31. Suppose 4*q + 70 + 65 = -3*b, t*q - 4*b + 100 = 0. What is the hundreds digit of 144 - (q\/(-2))\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*z**2 + 60*z**2 - 6*z + 6*z.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169440462.\nAnswer: 2, 3, 17, 553727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 164927349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 169 = 5*a, -3*a - 9*a = -10*h + 13*h - 14*a - 89 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142 - 289 + 140*a + 147 to the form m + c*a and give c.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67.224 + 0.224. Let y = h + 55. Let p = 3 + -6. Which is the second smallest value? (a) p (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b**2 - 17*b - 63. Let j(i) = 17*i**2 + 31*i + 124. Determine -5*j(g) - 9*t(g).\nAnswer: 23*g**2 - 2*g - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -347587\/98070 + 22\/1401. Let g = c - -78\/35. Find the common denominator of ((-4)\/(-10))\/((-16)\/(-620)) and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/15)\/4)\/((-6)\/60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*r = 5*w - 21, 0 = -2*w + 5*r + 22. Let q(m) = 29*m**2 + 1. Let t be q(w). Suppose -t = -3*c + 6. Solve 2*l - 2 = 2*g - c, -4*l - 20 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (-3 + sqrt(567)*4) - 3*sqrt(567)*-3) + 4)**2.\nAnswer: 756*sqrt(7) + 20461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 456469 in 2, -1\/7, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 232*l + 0 + 1 + 0. Let g be r(1). Suppose 2*m = 4*p - 2016, -2*m - g = p - 742. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c - 2. Let y(a) = 3*a + 1. Let m be 6*2\/12*5. Suppose 8*j - 7*j = m. Calculate j*y(b) + 2*s(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-3)\/((-150)\/(-4)) + ((-8551224)\/(-1525))\/(-108).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 57*n**2. Let y(d) = d + 10. Calculate y(k(j)).\nAnswer: 57*j**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x - 15, 12 = -3*z - 4*x. Let u = -222 - -257. Suppose -5*r - 6*y + 2*y = -60, 5*r - y = u. Solve z = -2*w - 2*m - r, -4*w + 3*m - 11 = 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*c**3 + 505*a**3 + 2662*a*c**2 - 4*a*c wrt c?\nAnswer: -12*a**3*c + 5324*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 4*s - 1. Suppose 5*k - b - 87 = 0, 3*k + 5*b - 50 = 19. Suppose -u = 2*i - 2*u + 6, 4*i = -u - k. Determine h(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273 and 77?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*g**5*t**2 + 36*g**4*t**2 + 1605*g**2*t**2 wrt g?\nAnswer: 960*g**2*t**2 + 864*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Solve -5*g + 15 = -5*x, -5*x = -p*g - 10*x - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 19. What is b(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(66)*-1)\/(sqrt(60)\/(2*sqrt(10))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b*n**2 + 84*b*n*v**2 + 5*b*n*v + 17*n**2*v**2 + n**2*v - 3*n**2 + 2*n*v**2 + 4*n - 3*v**2 wrt n.\nAnswer: 10*b + 34*v**2 + 2*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 80*q - 579. What is s(-26)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)\/i*i*i*i**(-12\/7)*i*i*(i**(-3)\/i)\/(i\/((i*i*i**6*i)\/i*i)) assuming i is positive.\nAnswer: i**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 41. Let t = -0.35 - 0.65. Which is the third smallest value? (a) -0.3 (b) t (c) -1\/2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6) - 18*44\/(-2376))\/((-5)\/2).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 1. Let a be h(-1). Suppose 0 = -a*o + 11 + 21. Let w be 3\/4 - 48006\/o. Round w to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5594058423.800000668 + -5594058321.8. Let h = g + -102. What is h rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 1635. Let d(n) = 3*n. Determine d(k(a)).\nAnswer: -6*a**2 + 4905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, e: 2}. What is prob of sequence eo?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + -22. Let d = -84.999917 - k. What is d rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-7))\/(20\/63*(-966)\/(-805))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9870440 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8582517 + -5079517. Round s to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:16 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8*i + 5*h - 36 = 0, -2*i - 4*h + 12 = 0. Calculate the remainder when 64 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187f1 (base 16) in base 10?\nAnswer: -100337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 745 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2. Let a(k) = -3. Let r(h) = 2*h - 145. Let d(m) = -4*a(m) + r(m). Calculate d(b(t)).\nAnswer: 4*t**2 - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -16. Suppose 2*f + 0*f = -4*i + 38, 2*f + 12 = i. Suppose 5*c + i = 0, -3*c = 2*s - 8*c - 8. Sort s, r, -5.\nAnswer: -5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 159079*i - 22651?\nAnswer: 159079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 7*b + 6*i - 25*i + 15*i = i - 2, i = -2*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2822 - 2687. Suppose 5*l + 0*l - 5 = 0, -2*j = 3*l - 11. What is the remainder when y is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 2*z**4 - 5*z**4 + 1 - 2*z**3 - 5*z + 4*z**4 as d*z**3 + h + n*z + l*z**2 + t*z**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 + -22497a2?\nAnswer: -2249760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-2)\/8*-14. Calculate the highest common factor of 42 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2109003 and -25?\nAnswer: 52725075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c + 4. Let d = 250 - 253. Let w be (600\/(-231))\/(-8) + d\/21. Put w, 5, 4\/7, c in ascending order.\nAnswer: c, w, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -8*z + 11. What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*j = 406, -17*g + 501 = -12*g + 3*j. Calculate the remainder when 295 is divided by g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*v + 182 = 0, -q - q + 5*v = -113. Let p = q + -21. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*t**2 - 312*t**2 + 31 - 30 + 75*t**2.\nAnswer: -310*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21987, -43974, -65961, -87948, -109935, -131922?\n\"Answer: -21987*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304107.\nAnswer: 3, 167, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 364 + -1363. Let l = r + 1754. Suppose 4*d - 158 - 150 = -2*h, 5*h + 5*d - l = 0. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 15*q + 183 - 311 + 131 + 9*q. Give t(-4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 2, -41, -102, -187, -302, -453, -646?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -54. What is the least common multiple of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2085104 and 256.\nAnswer: 33361664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(224)\/sqrt(4))\/sqrt(8) + 5)**2 + sqrt(56)\/(sqrt(288)*6).\nAnswer: 361*sqrt(7)\/36 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 311 - 307. Suppose 3*w - 27 + 9 = 0. Suppose -5*i = -7*i + w. Solve -q*f - 13 = -a + i, -f = 3*a - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26\/7 + -865\/231. Let x be 0 + (-18858 - (8 - 2)). Let s = x + 622577\/33. What is the common denominator of s and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68 in -0.2, -2\/23, -372?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (100\/(-36) - -6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1a574 (base 11) to base 15\nAnswer: -8742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s**3 - 2*s**2 + 2*s - 2. Let f(t) = 9*t**3 - 2*t**2 + 3*t - 3. Determine -4*f(q) + 5*o(q).\nAnswer: 4*q**3 - 2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19107737521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {i: 4, s: 2, r: 5, v: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -771.65 - -768. Let o = 3.45 + f. Which is the fourth biggest value? (a) 0.1 (b) -22 (c) o (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346707811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4672)\/(-36) - 2\/(-9). Suppose -2*m + z = 3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.614217 days?\nAnswer: 139468.3488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3206 + w - 3234 - 3*w + w**4)*(0 - 1 + 3)*(12 + 13 - 5) in the form c*w**3 + j*w + u + r*w**4 + y*w**2 and give u.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 bigger than 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2447 + 1270. Let v = z - -2483. List the prime factors of v.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -20. What is the second biggest value in -3, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17950 is divided by 399.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 - 1 - 6 - (-1 + -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 90536.7 decades?\nAnswer: 9053.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 22 = -5*p, 7351*p - 7346*p - 18 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75*29\/5220)\/(((-30)\/6)\/1)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9207)\/(-176) - 53)*-16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f + 6 + 0*f**2 + 0*f - 3 - 5*f**2.\nAnswer: -(f + 1)*(5*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 8:45 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/147 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lppbllbglll. What is prob of picking 1 l, 1 g, 1 b, and 1 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -3*m - 513. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i = -18400. What is i rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 16 = 11. Let l(q) = 20*q**3 + 3*q**2 + q - 1. Let o be l(u). Let z(b) = b**2 + 13*b + 18. What are the prime factors of z(o)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2 + 534*c - 7084 = 0.\nAnswer: 14, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(68)*6*1)\/(sqrt(144)*-2 + sqrt(144)))**2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -287481.81 rounded to the nearest 1000?\nAnswer: -287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13891039 + 6833661\nAnswer: 20724700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xas when three letters picked without replacement from {s: 4, a: 3, n: 1, z: 4, x: 4, q: 1}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*l**2*x*y + k**2*y + 2*k*l**2*y + 36*k*l*x*y + 2*k*y - 61*l**2*x + l wrt l?\nAnswer: 2*k**2*x*y + 4*k*y - 122*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/((-147)\/(-4102)))\/((-2)\/21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -2, 31\/555, 3, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1051*v**5 + 713*v**2.\nAnswer: -63060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggyttgtggtdy. What is prob of picking 2 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4438 and -37\/13314.\nAnswer: 13314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/((-154)\/(-24)) - -2. Which is the third biggest value? (a) 0.5 (b) z (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4403*j - 2189*j - j**2 - 2188*j.\nAnswer: -j**2 + 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ususi. What is prob of sequence sui?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q - 18. Let k be j(3). Let u be k - (-3)\/(-1) - 4. Sort u, -5, 2 in descending order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q - 29469 = -30719 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 18 in increasing order.\nAnswer: 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*w - 44, 12*u + w = 8*u + 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121224 and 141428.\nAnswer: 848568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 1 - 3*j + 5*j + (5 - 5 + 2*j)*(-134 + 246 + 201) + (7*j - 2*j - 3*j)*(2 + 3 - 4).\nAnswer: 630*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-36)*(324\/27 + -10)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1245 or 3128?\nAnswer: 3128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -36 (c) 0.4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*r**2 + 793 - 13*r**2 - 88*r**2 - 793.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 424875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 719871 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 - 222?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -10*j + 114. Let r be m(10). Suppose 0 = -r*c + 31 - 17. Solve -o + c = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3291259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 + 0.51. Let h = l - -0.3. Which is bigger: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 43. Suppose 3*a + 4*f + 34 = -8, -4*f = 0. Let c be h(a). What is the tens digit of (-5)\/c*-15 + 185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmgxmxxkgx. What is prob of sequence mm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z - 5*z + 13*z**2 - 5*z**2 - 5 - 3*z**2. Let t(g) = -g - 1. Let c(u) = o(u) - 5*t(u). Find the second derivative of c(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (148 + -112) - 60\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-1 - 4\/4)*1. Let s = 8 + u. Solve -s*h - 8 = -x, 10 = -2*h - x - 0*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 106, 208, 312, 418, 526, 636, 748?\n\"Answer: r**2 + 99*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1377) - 5*sqrt(1377)*-1) + -4*(sqrt(1377) + -3*sqrt(1377))))**2.\nAnswer: 6747300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/4)\/((-8)\/(99 + -3)). Suppose -x*i = -2*w + 11684, -4*w + 7*i + 23350 = 10*i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720678 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -11. What is the second derivative of -4*i - 7*i + 9*i - 2*i - k*i**5 wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 3\/13 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*g + 60*g - 7309 + 2009 = 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -68, -114, -168, -230, -300, -378?\n\"Answer: -4*y**2 - 26*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/22 - ((-2896)\/176 + 17)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = 2*t + 944. Let l = 122 + t. Let m = l + 225. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -644565, -1288857, -1933149?\nAnswer: -2577441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 6*h**2 - h - 3. Let n = -2 - 4. What is g(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50748 divided by 6.\nAnswer: -8458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*d - d. Let u be 2*d\/(-6)*1. What is the units digit of (4\/12)\/(u\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4738 and 61088064?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/5)\/(t\/(t**(-6\/19)*t))*t\/(t**(3\/20)*t*t)*t*t**(-8))**(2\/23) assuming t is positive.\nAnswer: t**(-3521\/4370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 320*f**5 - f + 213?\nAnswer: 6400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 4*x**2 + 2. Let t be b(-4). Suppose 3*d = -0*d - t*p + 38, -3*d + p = -35. Solve -d = -0*a + 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = w. Let s(u) = -u - 11. Let i be s(w). Suppose -b = -3*b + 4, 4*b = 3*t + 17. Sort t, i, 1\/2 in ascending order.\nAnswer: i, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 1, g: 1, e: 1, w: 1}. What is prob of picking 2 m and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3778843*l + l**2 - 115 + 361 - 119 - 127 + 3778843*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {d: 1, l: 7, n: 2, j: 6}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -13 - 2*v**2 + 6*v**3 - 3*v**2 + 34*v + 3*v**2 - 27*v. What is the least common multiple of g(3) and 7?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edelldeeeeed. Give prob of sequence ee.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 71, 74, 77, 80, 83?\n\"Answer: 3*d + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*a + 233*a - 1662 = -2*i, -10 = -5*a. What is the smallest common multiple of i and 2070?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1510566.366 to the nearest 1000.\nAnswer: -1511000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -9 + 18 - 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -1\/2 (b) -3 (c) 2044\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-100)*(0 - 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 33 - 31*i**2 - 21*i**2 + i**3 - 16*i**2 + 18*i - 32*i**2 + 121*i**2. Does 22 divide h(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2419\/657 greater than -0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -6) + -3*4. Let s(x) = x**2 - 5*x + 9. Let g be s(4). Suppose 0 = 3*h - 4*m + 17, g*m + 16 - 4 = -h. Is o greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**2 + 17*c + 4. Let g(p) = -20*p**2 - 50*p - 11. Let k(d) = -4*g(d) - 11*t(d). Let n(j) = -j**2. Determine n(k(z)).\nAnswer: -9*z**4 - 78*z**3 - 169*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - k**3 + 3 + (49*k**3 - 133*k + 133*k)*(-2 + 8 - 2) - k**3 - 2*k**3 - 3*k**3 as a*k + y*k**2 + i*k**3 + s and give i.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 465\/60 + 6\/16*-2. Suppose -d*q + 944 = 9*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 12*j**2 - 15*j. Let g(n) = -n**2 + n. Let h(f) = -f**2 - 7*f - 1. Let w be h(-7). Let z(p) = w*y(p) - 15*g(p). Let m(r) = 2*r. Calculate m(z(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3375914 divided by 254\nAnswer: -13291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 1, n: 1, u: 1, k: 1}. Give prob of picking 1 g and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((81\/(-2))\/9)\/(26 - 5))\/(1182\/(-37233)).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9}. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -9, -2\/15, 1\/38487 in ascending order.\nAnswer: -9, -4\/7, -2\/15, 1\/38487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-9) + (-132)\/24*(-172)\/473.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32491 or -227443\/7?\nAnswer: -227443\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -880516, -880514, -880510, -880504, -880496, -880486?\nAnswer: -880474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 9:13 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 6, t: 1, f: 2, x: 1, w: 4}. What is prob of sequence wfxt?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/3)\/((-2)\/(-12)). Suppose -4*m - m = -225. Let k = m - u. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*p + 94, -5*q + 39 - 110 = 2*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 4:18 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = 0. Suppose -5*a + 27 = 12. Let s be 13*(y + 1) + a. Solve s = -4*n - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/9)*i*i)\/i)\/(i*i**3))**(-1\/52) assuming i is positive.\nAnswer: i**(5\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*r + 19324 = 19340, 0 = -22*g + 3*r - 62 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = 21840. Suppose 16*a = 12*a + z. Let w = 9560 - a. What is w rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 28. Let p = 23799.9996 - 23790. Let q = v - p. What is q rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 11*y + 20 = 0. Suppose -f + 4*i - 4 = 0, -2 = y*f + 5*i - 7. Solve -x - x + 2 = f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10, -0.5, -26, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3 + 7. Is j\/3 - (-920)\/24 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138602*s**2 - 277172*s**2 - 3*s + 138567*s**2 + 3*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14473914 a multiple of 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480907204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.069945 millilitres?\nAnswer: 0.001069945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/2351973?\nAnswer: -5\/2351973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-35)\/g)\/(g**(2\/147)\/g)*(g**(-2\/83)*g)\/(g*g**(5\/12)) assuming g is positive.\nAnswer: g**(-1730315\/48804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*128.33805.\nAnswer: 11.5504245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -425, 3, 67, 0.4 in decreasing order.\nAnswer: 67, 3, 0.4, -0.2, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 349. Let o = w - 153. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10801050 is divided by 568475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68598.3 + 68546.299992. Let q = 1.15 - -50.85. Let j = q + a. What is j rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 281 - 278, 2*k - 8 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 47 + 13. Suppose 0 = 7*b - k*b. Sort -2, b, 4 in decreasing order.\nAnswer: 4, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118458416 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15\/4 of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2133223062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-3))\/h)\/(h**1\/h))\/(h**(-2\/13)*h*h**(-4)\/h) assuming h is positive.\nAnswer: h**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 7. Let l(i) = -i - 8. Let r(z) = 2*l(z) + 3*n(z). Determine r(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 16 + 4. Solve 2*y + 3*y = -v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/2, 2\/11, 6, -8, 66 in increasing order.\nAnswer: -8, -0.4, 2\/11, 1\/2, 6, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1474 and 16444346.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:52 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/30)*z*z*z\/(z**1\/z)*((z**(1\/3)*z)\/z)**(-12\/7))**(-22) assuming z is positive.\nAnswer: z**(-5533\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1584) - 2*sqrt(1584)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 21*x**2 + 20*x - 8. Let m be u(-20). Let s be (-6)\/m + 14\/(-8). Let d = 269\/4 - 67. Which is the nearest to 0? (a) d (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 4. Let i(w) = w + 10. Let a be i(-7). Suppose 2*x + d + 5 = -1, -a*x - 31 = -4*d. Give l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133+11767705.2921\nAnswer: 11767572.2921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -12000*r + 2735977. Determine y(228).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - -220) + -91 + -11 + 0?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 868 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 10\/3161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -5, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/280578 and 3\/28.\nAnswer: 3928092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10021659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 6*n**2 - n - 9. Let i be r(6). Let p(u) = -7*u - 63. Let m(f) = -3*f - 32. Let t(s) = -5*m(s) + 3*p(s). Does 25 divide t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, q: 3}. What is prob of picking 2 q and 1 v?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, 4, 0, -2240?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2205874 (base 9) to base 15\nAnswer: 18632a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - ((-10)\/55 - (-2)\/11). Let h = -2 + 1. Sort h, 11, w in descending order.\nAnswer: 11, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20128442.\nAnswer: 2, 17, 263, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -76, -308, -696, -1246, -1964?\n\"Answer: -l**3 - 72*l**2 - 9*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5727 (base 8) to base 9\nAnswer: -4137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -4.38 and 3\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1.5, -24\/61, -0.4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-79)\/(17538\/(-4366)))\/((-2)\/(-6))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 3*k - k**2 + 0 + 2\/3*k**3 - 1\/6*k**4. Factor f(i).\nAnswer: -2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*x + 3 = -57, x = -4. Calculate the smallest common multiple of v and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215771 to the power of 1\/2, to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122421 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = -3*r. Let m be 2\/r*0\/3. Suppose -3*q + m*q + 22 = 2*h, 0 = 4*q. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -8*k - 34. Let h = k + 19. Solve h*j - 6 = 4*j + 2*x, 5*j - 2*x = 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 754, 636, 426, 118, -294, -816, -1454, -2214?\n\"Answer: -l**3 - 40*l**2 + 9*l + 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131080?\nAnswer: 2, 5, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*q**3*t**2 + 2*q**3*x + 1274*q**2*x + 31*q*x + 2*q - 828359*t**2*x - 17*x wrt t.\nAnswer: 12*q**3*t - 1656718*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 9*c**2 + 6*c - 6. Let q(y) = -y**2 + 12*y - 6. Let j = 25 - 14. Let u be q(j). Let i be z(u). Put i, 1, -6 in increasing order.\nAnswer: -6, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*m - 258 - 419 = 13 - 108 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, -1, -0.5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 123. Let m be d(24). What is the highest common divisor of 38 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/9 - -1)\/(66\/99). Let y = 1.98 - -0.02. Suppose -4 = -q + 2*q. What is the nearest to b in y, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 + 679*s**2 + 896*s - 898. Determine c(-225).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 1\/2173 in increasing order.\nAnswer: -2, 1\/2173, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 701137 and -4.\nAnswer: 701133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 59.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**3 + 600*r**2 - 3*r - 600 = 0.\nAnswer: -200, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 + 4*v**2 - 4*v**2 + (-14*v**3 - 22 + 22)*(6*v - v - 3*v).\nAnswer: -26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - l + 4*l**2. Let j(m) = 373*m - 731*m + 363*m. Calculate n(j(p)).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 11325231005?\nAnswer: 11325231011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(((-20)\/(-1535))\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.78 - -24.78. Let k = -2 + 3. What is the biggest value in 2\/15, l, 1\/2, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {w: 10, o: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94593 or 662152\/7?\nAnswer: 94593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(4)\/sqrt(2).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - 0) + 67 + -50 + -5.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 18119307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 101 (b) 33136 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -19. Let q = 0.9 + -0.5. Let n = 0 - q. Which is the nearest to s? (a) -0.5 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82159, 164601, 247325, 330331, 413619?\nAnswer: 497189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1022 and -335.1.\nAnswer: -342472.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 71 - 71 + 2*i. Let p(u) = 4*u**2. Calculate p(s(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-1 + -4 - (-5 + 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-4 + -2)) + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5*7\/(-140))\/((-10)\/24)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11590*k + 9 + 0 - 9.\nAnswer: -11590*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**3 + 7*j**3 + 6*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5444 + 114904.\nAnswer: 120348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 2*l + 504. Let z = 129 + l. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 1 - 63 = 8*w, -5*w + 2*w = -d - 1 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 328542 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(2057) - (sqrt(2057) + -1 + -2)) + (((sqrt(2057)*1 - sqrt(2057)) + -5)*3*1)**2.\nAnswer: -55*sqrt(17) + 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 19. Let i = 0 - -3. What is the third derivative of -2*o**6 - i*o**6 + 7*o**6 + 6*o**g wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45503, 45484, 45453, 45410?\nAnswer: 45355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 18, 79, 196, 387, 670, 1063, 1584?\nAnswer: 2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b34a - -2?\nAnswer: 14b34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.41 in 5, 4, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*o = -152 + 51, 5*c + 5*o + 260 = 0. Let q = c + 58. Suppose -q*d - 3*d = -288. Solve 3*f + 3*h = h - 7, -4*f + 4*h = d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3654 by 18.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 745*m**2 - 49*m**2 + 1993*m**2 + 0 in the form q + i*m + v*m**2 and give v.\nAnswer: 2689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (-2 + sqrt(171) + 5 + sqrt(171)))**2 + 5 + sqrt(171) + -2*sqrt(171) + (-3*(sqrt(171) + -3)*-2)**2 + -1.\nAnswer: -633*sqrt(19) + 6664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -1665?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*v - 2*v. Let l = 4 + v. Suppose l = c - j, -c - 5*j - 9 = -24. What is the remainder when c is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56847 and -160496.\nAnswer: -217343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83822*w**4 - 8464*w - 7.\nAnswer: 1005864*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 21488 = -88*r + 90*r, 5*r - 3*t - 53762 = 0. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 502 - 502.311. Let z = -0.211 - m. What is the second biggest value in -15, z, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 78 + 97 = 85 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -3)*-1 + sqrt(112) + (sqrt(112) + 2*sqrt(112) + 1 - sqrt(112)))**2*-5.\nAnswer: -2320 - 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/(w*w\/(w*(w*w**1*w)\/w)))\/w)**28 assuming w is positive.\nAnswer: w**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and 84607861.\nAnswer: 84607871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*x**2 + 2659*x**3 - 2660*x**3 + 4 + 5*x**4 - 1456*x + 2*x**2 - 4*x**4 in the form n*x + a + v*x**3 + s*x**2 + d*x**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575867 is divided by 2384.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -60*f**2 + 19 + 4 - 60*f + 49. Let t(n) = -n**2 - n + 1. Let j(q) = -i(q) + 72*t(q). Find the second derivative of j(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 0.3, -53, 0, 1 in ascending order.\nAnswer: -53, 0, 0.3, 1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*k**2 - 3\/8*k + 0.\nAnswer: 3*k*(12*k - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977*z + 129786 = 342*z - 50*z + 69*z for z.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 251856 and 19239?\nAnswer: 2770416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:37 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*i + v, 0*i + 3*i = -5*v + 23. Let r be 5*i\/(-10)*-38. Suppose 3*h = r + 17. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nddncdnnsnnddmmnnndd. Give prob of picking 1 s and 1 n.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 49318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36988 - 36885. Solve j*t - 106*t = 2*y - 29, 4*y = -t + 33 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2\/8 - 177*l\/2 = 0.\nAnswer: 0, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 20*x - 10*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*t, z - 710 = -4*z - 5*t. Suppose -15 = 5*x, 0 = 7*l - 2*l + x - z. Let c = l - -2. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 6*u - 6. Let w be b(-8). Let k be 29 - (1 + 2) - 1. Suppose w*m = 5*m + k. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26189*p**3 - 304*p**2 - p - 1.\nAnswer: 157134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-12)\/(-15)*30\/12. What is the units digit of (-11 - -687)*(0 + (-3)\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**8\/6720 + x**7\/420 + x**6\/180 - x**5\/30 + 4*x**4\/3 - 4*x. Let i(q) be the third derivative of m(q). Determine i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11123 + 2?\nAnswer: 11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028762 rounded to five dps?\nAnswer: -0.00288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 17 = -3*k, -l = -0 - 2. Let h be (3\/k)\/((-4)\/24). Which is the second biggest value? (a) 2\/3 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*v = -4*m + 78*v, 3*m = 3*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -25. Suppose -u + a = -9, 3*u + 2*u = -4*a + 63. What is the third derivative of -16*v**5 + u*v**2 + 3*v**5 - 9*v**2 - l*v**2 wrt v?\nAnswer: -780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*r**2 + 33*r**3 - 2*r**4 + 4*r**4 - 7*r**2 - 31*r**3 + 2*r to k + o*r**3 + y*r + j*r**4 + v*r**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*m - 41 = 0, 0 = d - 2*m - 0*m - 17. Which is greater: -2\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -163927027648.\nAnswer: 163927027650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*w**4 - 13*w**4 + 10*w**2 - 12*w**2 - 6 wrt w?\nAnswer: -1368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 674 - 4174. Let w = -3498.023 - c. Let l = w + -2.07. Round l to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15352.\nAnswer: 2, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 114*y**2 - 99*y - 3. Is p(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -80. Let z be 996\/415*(m\/(-4) - -1). Let s = -0.06 - -0.46. Which is the smallest value? (a) z (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1956\/(-9))\/(4\/(-6)). Suppose -n = -5*v + 54. Suppose -5*z + 83 = t, -2*t - 2*t - v = -4*z. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 429\/4795 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**6\/24 + f**5\/3 - 35*f**4\/24 - 25*f**3\/3 + 482*f**2. Let b(l) = 0. What is l?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 5*p**2 + 3*p + 5. Let z be x(6). Let m = z - -18. Suppose 3*h**m + 55 - h**4 - 55 - 2*h**3 = 0. What is h?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1470 by 1.\nAnswer: -1470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 85*r**2 - 10*r - 117. Is 15 a factor of y(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -4b?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + 7. Let h(m) = -m - 2. Suppose -4*k + s = 19, 5*k = 2*s - s - 25. Let l be h(k). What is the remainder when d(l) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Suppose 0 = n*w - 12. Solve -t - 1 + w = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-60)\/50)\/(6\/(-20)). Solve -p + 16 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*w + 236*w = 72. Suppose 0 = 2*g - 6*a + a - 3, 0 = -4*a + w. Solve -5*h = 4*h - g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f. List the prime factors of a(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -239*q**3\/3 - 2*q + 260. Let z(p) be the second derivative of -p**3\/6 - 38*p. Calculate a(z(h)).\nAnswer: -239*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117171244 - 5?\nAnswer: 117171237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/63612 and -145\/473556?\nAnswer: 4262004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 4. Let s be (-4)\/(-12)*-8*18\/8. Let u be z(s). Let k be 3\/(18\/u)*15\/5. Solve -q - k = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 7:15 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 172243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 3378 = 3*y + 5*k, -5*k = -y + 1106. Let g(u) = -2*u. Let s be g(-4). Suppose -y = -s*r - 179. What are the prime factors of r?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*r**4 + 9*r**3 - 81*r**4 - 17*r + 153*r**4 + 2*r**2 to the form i*r**2 + g*r**3 + q + c*r**4 + h*r and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22126731*f*m**3 + 39497*f*m**2 - 131*f + m**3 + m**2 wrt m?\nAnswer: 132760386*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16565?\nAnswer: 5, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c - c)*(-c**2 - c**2 + 3*c**2) + (0*c**2 + c**2 + c**2)*(2*c + 3 - 3) + 358*c**2 + 36*c**3 - 358*c**2.\nAnswer: 35*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -5*t + 2*k, 1360*k - 1363*k = -29*t + 325 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -380*n + 381*n. Suppose 133 = -20*d + n*d. Solve -20 = -d*r + 14*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = v + 123, 81 = -4*g + g + 3*v. Let i be 9 + 10 + g + 10. Let t be 6\/(-21) - 37\/(-7). Sort -1, t, i, 1.\nAnswer: -1, 1, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(2448) + sqrt(2448) + -4 - (sqrt(2448) + 6*(sqrt(2448) + sqrt(2448)*-4))))**2.\nAnswer: -65664*sqrt(17) + 31814784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*x + 16, 5*c - x + 10 = 57. Suppose 0 = -2*b - 0 + c. Solve -4*n + 0*n - b*a + 2 = 0, 0 = -3*n + 5*a + 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21272306080 to the nearest one million.\nAnswer: -21272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 3*p - 11. Let v be x(8). Let j(t) = v - 2*t - 29. Let y(i) = -8*i - 2. Let q(s) = 50*s + 14. Let f(g) = 2*q(g) + 14*y(g). Calculate f(j(w)).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-264)\/6)\/(-2))\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1387.3 - -1336. Let h = -118 + 170. Let m = x + h. What is m rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66970262039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 12 + 48 + -9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 656*l - 1013*l + 2 + 2304*l + l**2 - 635*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -814, -1661, -2580, -3607, -4778, -6129, -7696?\n\"Answer: -6*q**3 - 805*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a minute in seconds?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7906, -6, 0, -1, -25 in descending order.\nAnswer: 0, -1, -6, -25, -7906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 203526821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -10. Solve 5*m + w = -4*o, m + 2*o + 8 = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3363574 days to minutes.\nAnswer: 484.354656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 - 3*v - 2. List the prime factors of c(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442 (base 5) to base 14.\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j - 1. Suppose -3*t - 5*s = 13, 0 = t - 0*t + 4*s + 16. Suppose -f + 2*f + 5*u + 14 = 0, -2*u = -t*f + 10. Give x(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2271.92 - 2320. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/3*8\/(-3)*2. Let i(c) = c**2 + 17*c + 20. Let s be i(p). Solve -u - 6 = q - 0*q, -q + u = -s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 3*b - 2*b)*(b**3 - b**3 + b**3 + (-2 + b**2 + 2)*(3*b + 0 + 0)) in the form k*b**4 + m*b**2 + t*b**3 + w*b + l and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-155) - (-42)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3025286 and 10098?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21391158 by 3565193.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.2385.\nAnswer: -0.0954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1224137 (b) -10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 116525 in -2\/9, -1\/2, -0.4, -0.05, -6.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 4. Let w be z(5). Let d = w + 1. Suppose 4*i + 8 = 3*u, -7*i - 10 = -u - 2*i. Solve -a + u = 5*o + 9, 2*o - a + 5 = d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4896 - 106*l + 4896.\nAnswer: -106*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 28.48. Let d = 12 + -12.6. Let o = d + m. What is o rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1\/2)*680. Does 14 divide 1\/3 + t\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 53*k**2 - 28*k**4 - 54*k**2 + 1 + 0 - 2*k - 2 to f + v*k**4 + b*k**3 + l*k**2 + h*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*d - 7, 45*n = 42*n - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -1881.15.\nAnswer: -1881.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203 + 1410310003?\nAnswer: 1410310211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -15, -14, -13, -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58119067 a multiple of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d + 4*d - 8*d)*(-2*d + 6*d - 2*d)*(d + 3*d - 3*d) + 4*d - 4*d**3 - 4*d in the form b*d**3 + q*d + k + n*d**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28418 is divided by 466.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-130)\/(-8) + 3\/(-12). Let x(j) be the first derivative of -1\/2*j**4 - 1\/2*j**2 - w + 0*j**3 + 0*j. What is x(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 7*o**2 + 6*o + 4. Let n be g(6). Suppose -t = n*b - 24, 2*b = -b + 2*t + 7. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*h = 2*h. Suppose -n + 934 = -3*z, 952 = n - h*n + 3*z. List the prime factors of n.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2382933 and -181\/2068206?\nAnswer: 109614918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 16*r**2 - 30 + 37 - 5*r - 15*r**2 - 32. Calculate y(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 176 + 4?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-118.5\nAnswer: 59.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k + 7*k - 2*k)*(-1 + 1 + 1)*(2 - 2 + k**3).\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, -0.4, 4.5, -10, -1.4, -1\/16?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 29 = 64*h - 270, -2*y - 60*h + 58*h = -2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*z - 59*z + 25*z)*(-z**4 + 0*z**4 + 2*z**4) + z**5 + 3*z**5 - 2*z**5.\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/((-3)\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31263\/8 - -3919. Calculate the common denominator of 67\/4 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - (2*sqrt(117) - sqrt(117)) - sqrt(117))*2)\/(sqrt(108)\/(sqrt(48)\/sqrt(4))) + ((1 + sqrt(52) + 1)*-3)**2.\nAnswer: 71*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*d + 7*d + 2 - 8*d)*(54 - 13 - 3*d - 89) to the form y + x*d**2 + a*d and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -6)*(-1)\/3*-28. Which is smaller: q or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412877300 rounded to the nearest 1000000?\nAnswer: 413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0347628 rounded to four decimal places?\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 1251269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 75*k - 116 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 7*n + 6. Let d(g) = g**2 - 3*g - 3. Let o(y) = 3*c(y) + 7*d(y). Let i be o(3). Solve k - i = -1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzbwbbbbbbbwb. Give prob of picking 1 b and 1 w.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 854 and 31354?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/659913 - -2569041337\/18477564. Let c be (-4350)\/(-70)*(-3 - -1). Let q = c + t. What is the common denominator of 59\/4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5))**(-16\/3)\/(r**(-1\/4)\/r**6) assuming r is positive.\nAnswer: r**(503\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 3*m**2 - 6*m**2 + (-2 + 2*m + 2)*(-5*m + 4*m - 2*m))*((-3*m - 2*m + 3*m)*(m - 2*m + 2*m) - 3*m**2 + 2*m**2 + 0*m**2).\nAnswer: 30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:19 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, a: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4*a - 14, 3*u - 5 + 23 = 5*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - ((sqrt(66)*2 - sqrt(66))*-6 + sqrt(66)))\/sqrt(6)*1 + (4*(1*sqrt(77) - sqrt(77) - sqrt(77)))\/(sqrt(560)\/sqrt(5)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - q**2)*(224 + 223 + 157*q**2 - 447).\nAnswer: -157*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (5 - 4)) + 3 - (6 - 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 2. What is m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 53*l**2 + 61*l + 548. Let a be g(-52). Calculate the highest common factor of a and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 - 68636*k - 1 + k**3 + 34369*k + 34696*k - 2*k**3 to the form s + m*k + n*k**3 + q*k**2 and give m.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 29*q + 72. Suppose 3*b + 2*t - 2351 = 0, 8*b = q*b + 3*t + 3931. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965491517?\nAnswer: 19, 59, 887, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, c: 1, u: 4, x: 4, h: 4, t: 1}. Give prob of picking 2 p.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 26*l + 55. Calculate g(23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*h - 318*h - 22 = -145*h. Let r(f) = -f**3 + f. Let s(o) = 11*o**3 - 6*o + 1. Determine h*s(k) - 6*r(k).\nAnswer: -5*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*p - a, 2*p + 2*a - 30 = -2*p. Let t(k) = -14*k**2 - 5*k + 7. Let n be t(p). Let u = n - -519. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3446319 millilitres to litres.\nAnswer: 0.0003446319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2588243181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 127 - (-25 + -74 + 69).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -31, -35, -23, 11?\n\"Answer: b**3 - b**2 - 18*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w. Let p(i) = -i**2 - 23368*i + 2. Give p(o(t)).\nAnswer: -36*t**2 - 140208*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-63388)\/(-12) + 9\/(-27)?\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1639414 divided by 64?\nAnswer: -819707\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 + 203*b**2 - 12*b + 37. What are the prime factors of g(-40)?\nAnswer: 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - ((-5 - 9) + 15)) + (-17 - (-3 - -10))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 1 = 3*t. Calculate the common denominator of (-7)\/(-2)*t\/16 and (-122)\/(-20) + (-2)\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:40 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d = 0. Let b(f) = 3*f + 3. Let x be b(1). Solve -x + d = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 2:38 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10821830 or 10821833?\nAnswer: 10821833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = -1. Let p be -1 + o - (2 + -3). Let m be 4\/(-10) - (-36)\/15. Solve v - m*v - 3*i = 0, p*v + i = -5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2817, -5666, -8545, -11454, -14393, -17362, -20361?\n\"Answer: -15*v**2 - 2804*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(2\/(-1)) + 91\/35\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(195\/10)*6\/2. Let g be f\/(-16)*2\/(-62). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 120*-4*2\/(-10). Let h be (-2)\/(-3) - (-80)\/v. Let m = -6 + 7. Which is the nearest to h? (a) -0.3 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 2*r + 18, -3*r = 2*l + 23 - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 6*y**2 + 2*y - 7. Let u be (-2 - -1 - 5)*-1. Let v be g(u). Is 14\/(-20)*-4*v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -234*v**3 + 114*v**2 + 114 - 252*v**3 + 48*v**3 + v**3 + 114*v. Let y(p) = -19*p**3 + 5*p**2 + 5*p + 5. Calculate 5*d(b) - 114*y(b).\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6, 7*u = 4*u - 2*y - 8. Which is the third biggest value? (a) 0.4 (b) 2\/7 (c) -0.5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48290, 48288, 48286, 48284, 48282, 48280?\nAnswer: 48278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tftffttffftftt. What is prob of sequence tftt?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3624 (base 8) to base 15\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 3:09 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 - 41 + 76*p + 87)*(-9 + 17 + 19) in the form o + t*p and give t.\nAnswer: 2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in 0.2, -0.2, 0.04, 3, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 20. Suppose -3*m - m + n = 0. Find the first derivative of 3 + p - m*p + 4*p wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.4 (c) 0.2 (d) 0 (e) -2\/5729\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -352*p**2 + 1300*p + 232618 with respect to p.\nAnswer: -704*p + 1300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*n*p*t**2 - 2213*n*p*t - 7*n*t + 1225353*p*t**2 + 2*p*t + 2 wrt t?\nAnswer: -38*n*p + 2450706*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/(-14) + 2\/(-7). Suppose -4*p + r*p + 10 = 0. Suppose z - p = 2. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2379 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 87 - 46 - 47 to the form n + c*f**2 + j*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 37 + (36 - (-49 + 59))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 6:53 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17947641721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) -13\/59 (c) -0.1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*a**2 + 20*a**2 - 9 + 11*a**2 - 3*a + 24*a**2.\nAnswer: 23*a**2 - 3*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 25 = -10*d. Suppose 15*v = 223 + 332. Let t(s) = 5*s - 18 + s**3 - 3*s + v + 3*s**2 - 17. Give t(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-4)*(-28 + (-1984)\/(-72)). Solve 3*r + p - h*p = 6, 5*r + 5*p + 10 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*l + 337 + 46 + 209 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5614 - 0.0789. Let i = -1.49 + v. What is i rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202431012 (base 5) to base 7.\nAnswer: -10013046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, h: 2, g: 6, j: 1}. What is prob of picking 2 h and 1 t?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1341047 - -5?\nAnswer: -1341042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145866 greater than or equal to 2145861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, -281, -1305, -3339, -6725?\nAnswer: -11805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -672*f + 2. Let j be t(0). Sort -7, j, 155.\nAnswer: -7, j, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + 2.6. Let s = 0.8737 + -0.0737. Are s and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 32. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2301382 is divided by 658.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 5*r - 27, -4*r + 567 = 4*l + 555 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.47073 millilitres in litres?\nAnswer: 0.00947073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*i + 218, 4*i = 5*r - 157 - 393. Calculate the greatest common factor of r and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 45245*p**3 - 3*p**2 + p + 4. Let r be n(3). Let z = 830595 - r. What is z rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -60, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1452, 1455, 1460, 1467, 1476?\nAnswer: 1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37916801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79670*0.07.\nAnswer: -5576.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + (-642)\/180*-6)\/(5\/50). Calculate the greatest common factor of 1944 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -30*h**7\/7 + 272*h**6\/15 + 115*h**5 - 674*h**4\/3 + 80*h**3 + 17*h + 48. Suppose v(r) = 0. Calculate r.\nAnswer: -3, 0, 2\/9, 4\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -581744, -581739, -581726, -581699, -581652, -581579, -581474?\nAnswer: -581331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 0*d**2 + 0*d + 1 - 1\/3*d**3 - 3\/4*d**4. Find the third derivative of b(r) wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1680)\/(-192)*((-160)\/14)\/(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m + 4*b - b, 3*m = -3*b + 21. Let o(y) = 10*y + m*y + 0*y - 25*y. Let a(g) = 99*g. Determine o(a(j)).\nAnswer: -594*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -4*s + 4*w, s - 42 = 5*w + 29. Let a(c) = 6*c**3 + 1. Let z be a(1). What is the greatest common factor of s and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8003717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 0 + 7 - 2*z**3 + 3*z + 12*z**2 + 8*z - 9 to a*z + w + j*z**3 + n*z**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588175.2 weeks to milliseconds.\nAnswer: 355728360960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {h: 2, v: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 5*q - 5. Let w(p) = -p**2 + 8*p - 21. Let g be w(5). Let c be l(g). What is the units digit of (39\/c + -3)\/(6\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 3:21 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1805790 * -0.39\nAnswer: -704258.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3086796590 divided by -5\nAnswer: -617359318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107123.\nAnswer: 107123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {d: 1, x: 2, s: 1, g: 1, h: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - -38. Let u = -6 + m. Suppose -h + u - 8 = 3*r, 4*h = -5*r + 59. Calculate the greatest common divisor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -138799.\nAnswer: -7\/138799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -7*n + 10038. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 1. Let q(x) = -13*x - 4. Let v(f) = -9*l(f) - 2*q(f). Let d(i) = -i**2 - 4*i. Let k be 1\/2 + (-6)\/(-4). Give k*v(z) - d(z).\nAnswer: z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*g = -2, -3*g + 5*g + 64 = -5*b. What is the remainder when ((-386)\/(-3))\/(b\/(-18)) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-32) - (-46)\/(-16)*-6. Suppose 5*h - 92 + 7 = 0. Calculate the greatest common divisor of q and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1584)*-1)**2 + 3 - (1 + ((sqrt(33)\/sqrt(3) + sqrt(11))*-6 + 0)**2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(57\/126) + -7 + 3. Suppose -44*w = -k*w - 11706. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 = -4. Let z = 3 - p. What is the biggest value in 5, z, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9036113 take away -0.4?\nAnswer: 9036113.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 215913193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*t - 14 = -4*t, -2*n + 4*t = 0. Let i = 19 + -14. Solve -5*w = n*c - 25, w = -i*c + 6 - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 925444.7 millennia?\nAnswer: 92544470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 44 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let r = g + 1. Let b = 35.2 + -36.2. Is r greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -602 - -597. Suppose -2*r = 5*a - 23, 3 = -a - r + 10. Suppose -8*g = -a*g. Sort g, l, 6 in increasing order.\nAnswer: l, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let s(j) be the first derivative of -22*j**3\/3 + 5*j - 5. Let i(l) = -11*l**2 + 2. Let x(m) = -5*i(m) + 2*s(m). Calculate b(x(n)).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23\/348 - -1\/58. Let y(c) be the first derivative of n*c**3 + 1\/2*c - 3\/8*c**2 - 2. Suppose y(f) = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0938 and -12579768.\nAnswer: -12579767.9062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 7)*(-12*b + 5*b - 4*b) - 4*b + 2*b + 0*b - 5*b - 3*b + 3*b.\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5597750 and 25?\nAnswer: 5597750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/((f**(-1)*f*f)\/f)*f)**(-7)\/((f\/f**(2\/19))\/f*f\/f**(-4\/7)))\/(f**9*f**(-7)*(f**(-1\/4)*f)**(-8\/3)) assuming f is positive.\nAnswer: f**(-3919\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6810416 and 970742.\nAnswer: 7781158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 9, 10, 11?\n\"Answer: s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4\/15 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 6*a**2 + 8. Let i be v(6). Suppose i = -4*q + 28. Suppose 5*c = -0*z + q*z + 470, -3*z - 192 = -2*c. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1469 + 718. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1197, 4910, 11119, 19842, 31097, 44902?\n\"Answer: 3*x**3 + 1230*x**2 + 2*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, -0.4, 1\/2, -4, 0.03, -2\/15, 0.047?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -289071982*f**2 - 1033157657?\nAnswer: -578143964*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - (-26)\/18 - (782019\/(-81) + -2)?\nAnswer: 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d17 (base 16) in base 12?\nAnswer: 681b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 - 9.41063.\nAnswer: -30.41063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 * -94.032.\nAnswer: -26.32896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62570 and 29.\nAnswer: -1814530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obcb when four letters picked without replacement from {h: 2, c: 3, b: 1, o: 1, d: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4889 - 4870. Let z(w) be the second derivative of -g*w + 0 + w**2 - 5\/6*w**4 + 0*w**3. What is the derivative of z(n) wrt n?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239 - -255. Suppose 58*q - w*q - 168 = 0. Solve -2*f + m = 12, -3*f - 5*m + 4 + q = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -0.1, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/11 (b) 3 (c) 2\/3 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 372544719, 372544721, 372544731, 372544755, 372544799?\nAnswer: 372544869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.63 * -24.27.\nAnswer: -282.2601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmvvmvvmqm. Give prob of picking 2 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-22))\/(-20*14\/70)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3654.118 weeks?\nAnswer: 613891.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*r - 5 = 0, -2*n - 28 = 5*r - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265407900 rounded to the nearest 1000000?\nAnswer: -1265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from {x: 5, z: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2059723, 4119621, 6179519, 8239417, 10299315, 12359213?\nAnswer: 14419111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**3 - 2*s**2 + 1. Let h be d(1). Suppose -2 = h*f - 10. Let o(m) = m - 2*m**2 + 0*m + 0*m**f - 8*m**3. What is o(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/40 - (-6)\/(-40)) + (-24)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752625.\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = 10*b. Suppose -2*c = 3*s - 4, -s + 10 = 5*c + 4*s. Solve g - 12 = 3*v - c*g, -2*g + 4 = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 17 + -14 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*t - 14038*g - 1929 = -14042*g, 2*t + 4*g - 18 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213136428?\nAnswer: 2, 553284107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/210 + 2656\/(-168)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 350?\nAnswer: -1\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9335 + 9392.655. Round z to one decimal place.\nAnswer: 57.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5584 - -5597. Suppose 0 = 2*w - 4*v + 20, -2*w - 3*v = -4*w - 21. Let l = 17 + w. Solve 3 = l*h + x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -41*v**2. Let u(i) = -2024*i**2 + 23. What is u(a(n))?\nAnswer: -3402344*n**4 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20395 - 20399. Let o = -0.23 - 21.77. Sort 0, 0.2, i, o.\nAnswer: o, i, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + -2*(-3 + 1*sqrt(288) + -5)*1)**2.\nAnswer: -768*sqrt(2) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(4032) + sqrt(4032) + 4*(1 + sqrt(4032)) + 3 + -1 + sqrt(4032) + 4)**2.\nAnswer: 3696*sqrt(7) + 197689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Let z be 4\/7 - (-8)\/(-28). Which is the nearest to -2\/3? (a) z (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*k + 14*i - 2*k + 223 with respect to i.\nAnswer: 2*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(315) + 2*sqrt(315)*3 + sqrt(315) - sqrt(315) - sqrt(315) - sqrt(315))\/(sqrt(10)\/(sqrt(24)\/(sqrt(12)*1))).\nAnswer: -1 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 311900\nAnswer: -218330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(80\/(-96))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42735 is divided by 41352?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 843042?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.35 and 0.0247.\nAnswer: 0.008645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -30*s + 807. What is the remainder when g(21) is divided by 171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392814629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**5\/20 - o**4\/3 + 4*o**3\/3 + 35*o**2\/2 + 22*o + 4. Let p be f(-3). Solve d - p = 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*f**2*h*t + 28*f**2*h - 22*f**2 - f*h**3 - 32*f*t wrt h?\nAnswer: 11*f**2*t + 28*f**2 - 3*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 191 = -3*k - 88, 0 = 3*k + b - 124. Solve -k*y + 32*y - 42 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -32576*t + 807. Is m(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-63)\/(-210)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*p + 3*p. Let o be -1 + ((-3)\/p - 0). Suppose 2*x + 0*x - 8 = o. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.27 - 2.17. Let w = f - 0.06. Round w to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5663732 + -4?\nAnswer: -5663736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1539 and 855?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-40)*(-2 + 14). Suppose r*p + 9*m = 4*m - 26, 2*m + 8 = 0. Sort p, -1, 2 in descending order.\nAnswer: 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3198 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6*(-4)\/6. Let v = 14 + p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(2\/37)*w*w))\/w*w\/w**(-11\/3))**(-2\/13) assuming w is positive.\nAnswer: w**(-358\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**6*z**2 + 155294*n**6 + 49*n**2*z**2 + 9*n**2*z - 13*n + 2*z**2 - 13*z wrt n?\nAnswer: -840*n**3*z**2 + 18635280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 769.\nAnswer: 5\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 34 = 4*r. Suppose v + c = 3*c + 10, 3*v + 2*c - 6 = 0. What is the second derivative of r*i**v + 4*i**4 - 631*i + 629*i wrt i?\nAnswer: 228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 3*l + 10. Let d(j) = j - 1. What is -3*d(c) - x(c)?\nAnswer: 2*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8283 = -5*n - 2703. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (86\/6 - -1)*(594 + -183)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 867 divide 8808079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-14)*y)\/(y**(5\/2)*y*y))\/(y**(-3\/4)\/(y\/(y*y*y*y**1)*y)) assuming y is positive.\nAnswer: y**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 46. Let v be d(-12). Suppose v*t + 2 = -0*t. Is t + (-6)\/(-27) + (-14360)\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 855 - -232. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + (-215)\/(-45). Suppose c*n = 7 + 8. Let y(m) = -m**3 + 2*m**2 + m - 2. Determine y(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (8 - (3 + -5 + 2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11098284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g = 65*g. Let b = -755\/6 + 126. Let b*c**3 + 1\/3*c**2 + 1\/6*c + g = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 106 + 257. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 321.\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 11*s = 0. Suppose 0 = -s*v + 2*v + 4*o - 30, 4*o = v - 21. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 5. Let k be p(0). Let y = 3.244 + -3.66. Let f = y - -0.916. What is the third smallest value in -0.1, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1*(-16)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -362*p + 360*p + 6. Sort 1, p, 8 in increasing order.\nAnswer: 1, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41\/24 + -13\/8. Let h = 403\/1020 - -1\/204. Sort h, -16, p in descending order.\nAnswer: h, p, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*2\/(-2)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1124 and 7?\nAnswer: 7868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-9))\/((-1)\/6) + (-630)\/(-70). Suppose -10\/11*z**n + 0 - 24\/11*z**4 - 4\/11*z**2 - 18\/11*z**3 + 0*z = 0. Calculate z.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-1)\/(31\/(17732\/66))).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193938762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(((-2)\/6)\/((-108)\/162))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a - 98. Let k be l(-17). What is the greatest common factor of k and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 1:58 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 69900*t. Let d(v) = 9*v**2. Determine b(d(h)).\nAnswer: 629100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -42, -87, -148, -225, -318?\n\"Answer: -8*h**2 - 5*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 5, -2\/7, -0.5, 2\/13, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-35) + 4\/14. Suppose 0 = o*h - 10, 0*w + 2*h = -2*w + 18. Suppose -5*d - 6*f = -2*f + 7, -4*d - 20 = -w*f. Put 5, d, -1 in descending order.\nAnswer: 5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201200 + 0?\nAnswer: 11201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 56*k + 3. Let u(m) = 2*m - 2. What is -5*u(q) - y(q)?\nAnswer: -66*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 522.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.45 + -3.2. Let w = 1.7 + 5.3. Let l = h - w. Round l to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 6\/(-3)*1. Suppose -5*w + 5*f + 5 = 0, -5*f + n = -4*w - 1. Suppose -3*s - w = -5*s. Solve 5*q - 10 = -4*c, -14 = -s*q - 4*c - 0*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288 - 407. Let t(s) = -s**3 + 3*s**2 - 29*s + 13. Let r be t(4). Is q at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 0 = 3*o. Let p = -9 - o. Solve -5 = a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.023? (a) 0.048 (b) 1\/5 (c) 0 (d) 227 (e) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-64)\/80 - (-2196)\/20. Suppose 0*f - 270 = 5*f. Let k = f + s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*c + 6*c**2 - c**2 - 39*c + 3*c**6 wrt c.\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -0.1 (c) 0.1 (d) -139 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + g + 8 = 0, 5*c + 0*g - 28 = g. Let u(f) = -f**3 + 4*f**2 + 4*f. Let z be u(c). Let b(j) = 4 - j + 2*j + 2. Give b(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 3*s. Let m = -15 - -15.23. Let j = 4.77 + m. What is the second smallest value in j, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40309 or 39719?\nAnswer: 40309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**2*x**2 + 28099331*v**2*x - 3*v**2 - 9*v*x**2 + v*x + v + 129*x**2 wrt v?\nAnswer: -4*x**2 + 56198662*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - ((15 - (17 + -9 + -4)) + 7).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2595?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2023 = 15183*u - 15746*u + 17682 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a milligram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:04 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (24 + -5 + -44) - -25\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) 48 (c) 9 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 1:55 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (1 + -1)) + 1. Let p = 1 - -1. Let t be (p - 3) + 15*3. Calculate the greatest common factor of t and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6827693.\nAnswer: 17, 401629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7))**(2\/63)\/(m**(-2\/11)*m\/(m*(m\/(m\/m**(-2\/3)))\/m*m)) assuming m is positive.\nAnswer: m**(-2440\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**7\/245 + n**6\/35 - n**5\/14 + 3*n**2\/2 + 9*n + 1. Let c(v) be the second derivative of p(v). Factor c(m).\nAnswer: 6*m**2*(m - 1)*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -33. Let k(n) be the third derivative of -5\/6*n**r - 1\/24*n**4 + 0*n + 2*n**2 + 1\/60*n**5 + 0. Give k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 44*m + 44. Let n be j(-21). Let k be (-5)\/n*(-7)\/((-350)\/(-120)). Solve 3*y - k = x, y - 5*x + 3 - 19 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 3*c**2 + 5*c + 1\/3*c**3 + 6. Let l = -4 + 0. Determine w(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + 0 + 0 + -1. Solve 0 = -3*k - 12, -5*z - b = -6*k + 3*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 53 = -32*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/2 - 12)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, 0, -2, -3, 73, -29 in descending order.\nAnswer: 73, 14, 2, 0, -2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((11 - 2)\/3) + 2. Let m = -3.9 + -0.1. Let q = 8 + m. What is the smallest value in 0.06, q, p?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 76, 319, 742, 1351, 2152, 3151?\n\"Answer: o**3 + 84*o**2 - 16*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i + 26407 - 26365 - 7*i. Let v(k) = -3*k**2 + 12*k. Give v(a(h)).\nAnswer: -3*h**2 + 240*h - 4788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2, 2\/5, -20, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i + 20885 - 10308 - 10101 = 0 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 113549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + (sqrt(52) - sqrt(6292)*-2))\/((sqrt(144)\/sqrt(3))\/sqrt(12)))**2 + 5.\nAnswer: 7493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m. Let u be w(1). Let y(p) = -p**2 + 2*p + 3. Let q be y(3). Suppose -s - s - 4 = q. Sort u, s, 1.\nAnswer: s, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-9)\/24*(-4)\/(-42)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 15 - 251*v**2 + 252*v**2 - 53*v**4 to f*v**4 + o*v**2 + i + w*v**3 + d*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {x: 4, n: 1, z: 1, m: 4, h: 6, j: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t - 218 = -350. Solve 2*c + 4 - 2 = 4*l, 2 = -5*l + t*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38619606?\nAnswer: 2, 3, 499, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*r - 49*r - 47*r + 472*r - 41*r - 94*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + w**2 - w**2 + (13*w - 10*w - 8*w)*(-3*w**4 + 2*w**4 + 3*w**4).\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 172 = -2*l, 2*z - 10*l + 5*l - 996 = -1049 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -2*r**7\/105 - r**5\/60 - r**2 - 2*r. Let l(b) be the first derivative of y(b). Find the third derivative of l(t) wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 14*f - 2691 - 6*f + 774 - 7*f.\nAnswer: -f - 1917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 4 + (-7 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c + 27*c**2 - 50*c**2 + 22*c**2 + c**3. Let s be q(0). Let z be 2 - (1 + -2 - 6). Solve -o - z = a, s*a + 23 = -3*o - 2*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 4*c**2 - 6*c + 8. Let t be (-6)\/(-21) - (-52)\/14. Let u be o(t). Let q = u + 18. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31650 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-17 + 12) - -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 58 = -3*n - s, 0 = -3*n + 2*s + 38. Suppose -13 = 3*a - n. What is the closest to a in -2\/3, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167245 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/448)\/((-18)\/(-84))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 8426, 0 in decreasing order.\nAnswer: 8426, 88, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 3*m**7\/70 - m**6\/40 - m**5\/4 + m**4\/8 + m**3 + 5*m**2 - 2. Find w such that b(w) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2572428404 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 - 41 - 4*f**3 - 42 - 3*f**3 - 43.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 15*j + 50. Let o be i(-5). Which is the second smallest value? (a) o (b) 1\/25 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 1 + 9. Suppose 4*t - 2*h = -88, h - 88 = 5*t + 4*h. Let q be 3*(-5 - t\/3). Solve q*u + l = -3*j - 5, -3*u + 3 = -j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4432 in 3, 743, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528170 is divided by 176055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 24554\nAnswer: -4\/12277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.9999985 - -24. Round f to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 1 - 1 - l + 2 - 2 + (-5*l + 4*l + 0*l)*(1 + 0 - 3) + 2*l - 3*l - 5*l - 3 - l + 3)*(-l**3 - 3*l**3 + 5*l**3).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -147.77?\nAnswer: 591.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2782 = -110*n + 3*n. Solve 9*z - n = 35*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a century in years?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32195 (base 13) to base 12\nAnswer: 44368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -100 (b) -0.5 (c) 953 (d) -0.2 (e) -26 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 6*y + 10. Let t be o(-5). Solve -m + 0*m = 2*k, 2*m = k + t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 471 + -333. Let z(p) = 96*p**3 - v*p**3 - 6 + 7*p**2 + 6. Let f(w) = 5*w**3 - w**2. Let i(m) = -51*f(m) - 6*z(m). Factor i(y).\nAnswer: -3*y**2*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1785 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*t + 98*w - 103*w + 552, 4*t + 4*w = 96 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 6*h = 78, -3*w - 46615*h = -46620*h - 76 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7))**(-12\/13) assuming c is positive.\nAnswer: c**(12\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 135?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 8) to base 2.\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**7\/10080 - j**6\/2880 - j**5\/240 - j**4\/6 - 10*j. Let h(o) be the third derivative of m(o). Factor h(i).\nAnswer: (i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -295, -919, -2119, -4087, -7015?\nAnswer: -11095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Suppose -a + u*a = 22. Suppose 5*z - a = -7. Solve 5*q - 2*s = -18, -z*s = -0*s + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2713799925.\nAnswer: 3, 5, 19, 634807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(6\/18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1652\/13 (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:17 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3142377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -17. Let l be (6 - b)\/(1\/4). Solve -l*t - 15 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/183954 and 35\/901968.\nAnswer: 27961008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296190 and 60345?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9054a5 (base 12) in base 2?\nAnswer: 1000100101000001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7387476, 7387488, 7387498, 7387506, 7387512, 7387516?\nAnswer: 7387518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s - 255 = 12*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.2, -0.4, 5, -47.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -541761.3724901?\nAnswer: 541758.3724901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = i + 2, 92*i + u = 90*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*8\/16 - -6. Let q(y) = -3*y**2 - 4. Let n(d) = 8*d**2 + 11. Let i(s) = r*n(s) + 11*q(s). Let m(l) = -10*l. Calculate i(m(t)).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47783823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -45106458231.\nAnswer: -45106458230.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 1. Let r(c) = 7*c**2 - 51*c - 5. Let p(o) = -j(o) - r(o). What is the remainder when 230 is divided by p(9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276749?\nAnswer: 11, 139, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)\/(k**(-3\/2)*k*k))\/((k*k**(-6))\/(k**16\/k)) assuming k is positive.\nAnswer: k**(191\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*6*(-4 + (sqrt(1584) + 2)*3 + -3 + 3))**2.\nAnswer: 123120*sqrt(11) + 12833649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 14*o - 11\/15*o**7 + o**2 + 0*o**6 + 49\/6*o**3 + 0*o**5 + 0 + 0*o**4. What is the first derivative of l(u) wrt u?\nAnswer: -616*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 5. Suppose 4*b + 10 = -t - 12, 0 = -2*t + 5*b + 8. What are the prime factors of o(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.76 - 0.56. Which is the second biggest value? (a) -2\/27 (b) 3 (c) -0.4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 42 = 12. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1067755 days in microseconds?\nAnswer: 9225403200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -259.64335 * -2\nAnswer: 519.2867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -3744142.\nAnswer: 7\/3744142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -44501 (base 6) in base 16?\nAnswer: -1855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1457427, -2914845, -4372263, -5829681?\n\"Answer: -1457418*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5749?\nAnswer: 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 13)*8\/10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22320766 - -2?\nAnswer: -22320764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050205323.\nAnswer: 3, 109, 2789, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -46, 80, -4 in ascending order.\nAnswer: -46, -4, 2\/15, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14 - 1096*a + 7 - 128. Is m(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:52 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 41.2. Put -1\/3, -2, 0, s in decreasing order.\nAnswer: s, 0, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-4))\/5*-8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 74911 + 74911.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -897206*j**2 + 1794409*j**2 - 897191*j**2.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -0.04, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10810?\nAnswer: 2, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 - (-1 - -25))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 5*s**2 + 5*s - 5. Let o(a) be the third derivative of -a**5\/60 + a**4\/24 - a**3\/6 + 4*a**2. Give -15*o(z) + 3*r(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*m = -276172 + 284672 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 86)*80\/(-30). Let j = y + 160. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25457922.\nAnswer: 2, 3, 7, 67349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 2. Let j be f(-5). Let u = 4 + j. Let c(l) = l + 2. What is c(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, v: 3, w: 2, f: 4, u: 3}. Give prob of sequence uvv.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79581 and 12.\nAnswer: 318324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 5. Let s be m(-5). Suppose 2 = 5*t - 2*n, s*n = 5*t - 5*n + 10. Solve -t*y = y - 5*o, 5*y + 4*o = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 983902597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1317980 by -2.\nAnswer: -658990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -245 - 109. Let w = y - -102. Let k(q) = 6*q - 1. Let h be k(4). What is the highest common divisor of h and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1) - (0 + -1). Let m(x) be the second derivative of -x**5\/20 + x**3\/6 + 4*x**2 + x + 328. Give m(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {z: 1, h: 3, m: 1, l: 9}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 12:14 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-4462.\nAnswer: 4462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + 4*sqrt(144) + sqrt(144) + sqrt(144) + sqrt(4))\/(sqrt(2) + sqrt(24)\/(sqrt(24)\/sqrt(2))) + 0 + -2)**2.\nAnswer: -86*sqrt(2) + 1857\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20028 and 23366.\nAnswer: 140196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9fcf9 (base 16) to base 2.\nAnswer: -10011111110011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.53 (b) 1\/4 (c) 12 (d) -0.4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/9 + 29654*q\/3 + 219839929.\nAnswer: (q + 44481)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2344, 2252, 2100, 1888, 1616, 1284, 892?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*o - 4*s, 0*o - 3*o + 4*s = -17. Let v(b) = -4*b**2 - 3*b + 3. Let m(i) = i - 1. Let f(l) = 3*m(l) + v(l). Let d be f(-1). Sort o, -2, d.\nAnswer: d, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + b - 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/72 + (-4)\/(-36). What is the smallest value in s, -0.5, -373?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x - 1\/60*x**5 + 4\/3*x**3 - 7\/24*x**4 + 0 + x**2. Calculate the remainder when 23 is divided by n(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/48 and 131\/2868.\nAnswer: 11472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35700\/663)\/(-25)*(-39)\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1507, 6425, 14639, 26149?\nAnswer: 40955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/3 + 11*c**3\/6 - 3*c**2. Is f(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.2 (b) -0.3 (c) 207\/8 (d) -6 (e) -15\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1348\/33 - 122\/3. Which is the fourth biggest value? (a) 1 (b) -1\/4 (c) u (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m. Let j be 12\/(-10)*30\/(-12). Suppose 4*y = j*l + 12 - 2, 2*y = 8. Let b(g) = -g**2 - 2*g**2 + 0*g**l. What is b(o(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j = -1441*j - 72461 - 1739 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9068401 millilitres to litres.\nAnswer: 0.0009068401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135154 is divided by 2758.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29919, -29911, -29911, -29925, -29959?\nAnswer: -30019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 7*a + 6*a**2 + 4*a**2 - 2*a to b*a + y*a**2 + j and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -3\/8, 167, 0, -2, -253?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 17*i**2 + 9*i - 50. Calculate the remainder when 247 is divided by c(-10).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/2 - 1063*x**4\/2 + 190071*x**3 - 23474529*x**2 + 435761937*x\/2 - 389191959\/2.\nAnswer: (x - 351)**3*(x - 9)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 154 + 89. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**8\/6720 - y**7\/360 + y**6\/80 - 7*y**5\/120 + y**4\/6 + 12*y**2. Let l(w) be the second derivative of a(w). Determine l(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = z + 4*w, -z + w - 5418 = -5432 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/11, -23, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 2*d**2 - d. Let k(u) = u**2 - 5*u + 4. Let a be k(3). Let m be h(a). Suppose 0 = -5*g - r + 72, m*g + 17 = 2*r + 53. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 140 - -4?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/378*(1\/(-1))\/(-6)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -21, -88, 1.34, 0.012?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -205312057312 and 78?\nAnswer: 205312057390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*p - 139782 + 139848, 0 = 2*p + 4*l + 66 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -609553, -609554, -609555, -609556?\nAnswer: -609557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -7. Let q be (-1 + 17\/1)\/x. Suppose g + 14 = 4*c, 3*c + 3*g - g = q. Let b(j) = -2*j + 6. Determine b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, -12, -56, -136, -264, -452?\n\"Answer: -2*r**3 - 6*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4079 + -1403. Is u greater than 2676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1452 - -1535. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*j - 14 = 6, 3*r + 12 = 5*j. Let d be 18*(8\/(-6))\/r. What is the nearest to -1 in -2, d, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47437876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157774.\nAnswer: 2, 78887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -97139 take away -85.22?\nAnswer: -97053.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 39. Calculate the remainder when 61 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - k)*(2 - 2 + 2)*(2*k - 2*k - 3*k)*(-3 - 15 + 5) - 2 + 2 - 2*k**2.\nAnswer: 154*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 977 + -969. Solve -3*w + 3 = -3*s, -5*w + y + 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g - 234. Give r(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.7, -12037, 0.03, 12, -5?\nAnswer: -12037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*z - 125*z - 183*z - 453 wrt z?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 4410.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2\/(-5*(-9)\/(-90))). Suppose -1\/8 - 1\/8*r**4 + 1\/4*r**2 + r**3 - 1\/2*r**5 - l*r = 0. Calculate r.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -4)*10*(-7)\/14. Suppose -63 = -b*n + 57. What is the remainder when 24 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7239.9 - -7242. Sort 2, -26, r in increasing order.\nAnswer: -26, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7))**(-8)*(n**(-2\/23)\/n)\/(n\/(n\/(n*n**(-3\/10)*n))) assuming n is positive.\nAnswer: n**(12239\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:35 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15961, 15951, 15911, 15823, 15669?\nAnswer: 15431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -574.192072 rounded to zero decimal places?\nAnswer: -574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.023 - -1.723. Which is the smallest value? (a) 2 (b) i (c) 33\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320893 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -496, -1850, -4066, -7150, -11108?\nAnswer: -15946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -34. Suppose -w + 11 = -i*j, w = -3*j + 4*w - 18. Let c = -21.3 - -21. What is the nearest to -0.2 in c, j, 4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 18 + 61. Let c = 80 + z. Suppose -32*q - 3745 = -c*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 156, 127, 136, 189, 292, 451, 672?\n\"Answer: u**3 + 13*u**2 - 75*u + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 38 + 2 = 0. Suppose 0 = 3*s - 8 - a. Let m be (-5)\/(-45)*s*3. Solve 0 = -3*v + 4*v + m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/10)\/(-1) + 198\/(-30). Let q be 4\/i*(-21)\/(-14). Suppose -82 + 22 = 12*s. Sort q, 4, -2, s in increasing order.\nAnswer: s, -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28308044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 1c09018a?\nAnswer: 1c09018c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**5 - 64*a**4 + 336*a**3 - 440*a**2 - 1300*a + 3000 = 0?\nAnswer: -2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/(-154))\/(17*(-14)\/(-1071)).\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39554 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-1) + 40319\/(-5037). Is w not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/10611303 and -35\/620451?\nAnswer: 413840817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6270, -6257, -6244?\n\"Answer: 13*o - 6283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 7. Let o(j) = 29*j**2 + 59*j. Let x(m) = -88*m**2 - 176*m. Let l(p) = w*o(p) - 2*x(p). Find the second derivative of l(a) wrt a.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0985821 micrometers?\nAnswer: 98.5821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 926857846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273 and 9989553.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2503 - 95*l - 1247 - 1253)*(-4 + 2 + 4).\nAnswer: -190*l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/381922878 and -95\/18?\nAnswer: 1145768634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 163805*w**4 - 7869880*w**3 + 8046435*w**2 - 344120*w + 3760 = 0. What is w?\nAnswer: 4\/181, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*c + 4*b, -c + 14 = -3*c - b. Let d = 9 - c. Suppose -2*u = -5*r + 10, -272*u + 271*u + 4 = 2*r. Solve 2*o + 5*z + d = u, -3 = o - z + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26856 divided by 72.\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from aaggg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101222001 (base 3) to base 5.\nAnswer: 223433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 251887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 0*j - 1076185 = 0. Suppose j = -3*m + 8*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/3, 0.3, -1\/3, -28\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2697666 (base 10) to base 4.\nAnswer: -22102213002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - q + 10, -3*z + 0*q - 2*q + 15 = 0. Suppose 4*g + 2 = 6. Let v = g + 0. Sort 3, z, v in ascending order.\nAnswer: v, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 476 = -17*j. Let g be (-44)\/j*(1 - 0). Let t = 239\/51 - g. Is t > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6592 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*i - 33 - 18 + 28 + 34 as o*i + j and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3098149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 467.8304 tonnes?\nAnswer: 467830400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41\/3 (b) 2\/5 (c) 217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 2*v = 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2. Let f be d(-1). Suppose 0 = -2*j + 15834 - 3786. Suppose f*s = -8*s + j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -230 in 1, -4, -2\/3, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 1\/3*j**3 - 7*j + 11\/3 + 3*j**2 = 0?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and -365649.\nAnswer: -365641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*j**4 - 5*j**2 + 25 + 107*j**4 + 14*j**2 to k*j**3 + v*j**4 + z*j + p*j**2 + f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 6. Let b be k(9). Suppose 3*n - 11 = 55. Suppose -i - 2 = -2*i, b*i = 4*r - n. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -11*u**2\/2 + 53. Let k(v) = 5*v. Give f(k(t)).\nAnswer: -55*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3, -3*h - 4*i - 36 = i. Suppose o - 4*v = 55, -4*v + 55 - 188 = -3*o. Let n = o + h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from fiffiiff.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 433003769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -11, -26, -45?\n\"Answer: -2*z**2 - 5*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 477185, 477164, 477133, 477086, 477017?\n\"Answer: -g**3 + g**2 - 17*g + 477202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -0.2, 2, 5\/3, -9.9 in descending order.\nAnswer: 2, 5\/3, 1\/12, -0.2, -9.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15240, -15249, -15272, -15315, -15384, -15485, -15624?\nAnswer: -15807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcdq when four letters picked without replacement from {q: 1, d: 6, c: 7}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(-6*(-5*((sqrt(475) + sqrt(475)*-3 + sqrt(475) - sqrt(475)) + sqrt(475)) - -5*sqrt(475)*3))**2.\nAnswer: 41040004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(49920\/117)\/(-64)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47337 - -47725.89. Let b = s + -386. What is b rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((15\/48)\/(-5)). Let u = -10 + o. Suppose f - 2*y + 4 = 0, -3*f - 2 = -u*y + 2*y. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1586, -2607, -4300, -6659, -9678, -13351, -17672?\nAnswer: -22635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -0.2877?\nAnswer: 1.7262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -27048, 4, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/266 and -103\/1008.\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17*-1.6\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5275*-29.\nAnswer: -152975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25845.\nAnswer: 3, 5, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 46588 (base 11) to base 2\nAnswer: 10000011010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(-12\/13)*(y\/y**0)**(-29) assuming y is positive.\nAnswer: y**(-401\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*((h\/((h*h*(h**2*h)\/h*h*h)\/h))\/h)\/h))**(-2\/61)\/((h\/(h*h*h**(-2\/11)))\/(h*h**(-6\/11))))\/((h**(3\/5))**(-14))**30 assuming h is positive.\nAnswer: h**(169814\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120908 is divided by 2951.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 132. Let t = n - -71. Suppose -3*o + o + t = 0. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = 5*s. Sort -1, s, 1 in descending order.\nAnswer: s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -6. Let h(r) = r**3 - 6*r**2 - 10*r + 8. Let y be h(7). Let t = q - y. Calculate the smallest common multiple of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 493*j**4\/2 + 842*j + 99. Differentiate g(h) with respect to h.\nAnswer: 2958*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + -4 + 0 + -5*(sqrt(475) + 0))**2.\nAnswer: 192*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -427, -425, -423, -421?\n\"Answer: 2*z - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7a952 (base 11) to base 5\nAnswer: 12220233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnbbbhwwkwbbbwnnbhk. Give prob of sequence bhn.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 16*o - 39 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 3685?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 23. Suppose -6*j = 14 - c. Does j = 2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11113*w**2\/4 + 44479*w\/4 + 27.\nAnswer: (w + 4)*(11113*w + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.1 (c) 6 (d) 2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2285 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6)**(5\/4)*r*r*r\/r**(-2\/25)*r\/r**(-1\/3) assuming r is positive.\nAnswer: r**(1787\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 23 - 1 = -5*i, -4*u + 32 = -4*i. Suppose y = 3*y - u. Suppose 5*n = 4*w - 40, -36 = 4*n + y*w - 7*w. Let q(x) = -x**2 - 3*x + 5. Calculate q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:19 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11814289\/10 + 1179659. Let g = 1773 + z. What is the common denominator of 13\/6 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (1 + -17) - -5) + 8 + 23?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.059 - 7781470.54.\nAnswer: -7781470.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 592712563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 19.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minus -541859.408?\nAnswer: 542001.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83797 - -289637. Round p to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 2)*(-3 + 3*k + 3) + 3*k + 2 - 2)*(4*k + 0 + 0) to the form o*k**2 + s*k + n and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 - 341 = -25*x + 270 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5*l - 10 = 0. Find the third derivative of -247*d**2 - 3*d**3 + 241*d**2 + 3*d - l*d - 19*d**5 wrt d.\nAnswer: -1140*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 30*m**2 + 28*m - 75. Give j(-31).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 0 (c) 85 (d) 1\/4 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -1011033333?\nAnswer: -1011033322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 690891362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008023749718 to six dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-22)\/((v*v**(-7\/2))\/(v\/v**(1\/2)))*(v**(-2\/13)\/v**(2\/9))**20 assuming v is positive.\nAnswer: v**(-529\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10203606 + 28396394. Round l to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*a + 30*a + 31*a)*(3*a**2 - 4*a**2 - a**2).\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/22 and 4\/(62784\/(-124664)) - -8.\nAnswer: 21582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82659.\nAnswer: 3, 59, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 8 + -3 + 2. Suppose 3*v = 4*l + 4*v - 21, -t*v = 3*l - 3. Find the third derivative of -12*c - l*c**3 - c**2 + 12*c wrt c.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1662 + 58155585331\nAnswer: 58155586993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**0*t))**6*(t**6*t*t)\/(t\/(t**(-3\/4)\/t)))**(-21\/5) assuming t is positive.\nAnswer: t**(-441\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 164. Calculate the greatest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 9:03 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (8 - (-14)\/(-7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 3\/7, 1899, -5 in decreasing order.\nAnswer: 1899, 3\/7, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 21*w - 92. Let q be k(15). Calculate the remainder when 49 is divided by ((-1)\/q)\/((-524)\/(-104) + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 9*k**2 - 8*k - 4. Let c be g(8). Suppose 0 = -4*l + 7 + 1. Let j = c + l. Put j, 5, -5 in descending order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-54))\/((-1)\/(-6))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 15*p**2 + 157*p - 74. What is r(-15)?\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -5 + 0\/2. Let a(i) = i**2 - i. Let d(m) = m**2 - m - 1. Let f(l) = 2*a(l) - d(l). Let c(k) = -k**2 + 1. Let p(w) = -2*c(w) - f(w). Calculate p(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a + 4*a + 190 - 31 + 1011*a**2 - 1 wrt a.\nAnswer: 2022*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6000980 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1276)\/(-899))\/22 + (-1229)\/(-20832) and -61\/512.\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1758834\/(-4333635) - (-2)\/5. Are m and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, -71, -150, -229, -308?\n\"Answer: -79*q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + 70?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 21902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 84*t**2 - 590*t + 21607. Calculate u(80).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, r: 2, f: 4}. Give prob of sequence fvf.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -307.967 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701503 is divided by 775.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 38728*r**2 - 77444*r - 38720.\nAnswer: -4*(r + 1)**2*(r + 9680)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 + 106. Let v = b - -60. Let d(i) = -i + 2. Give d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190350, -761706, -1713964, -3047124, -4761186, -6856150?\nAnswer: -9332016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7972054 and -5.\nAnswer: 39860270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) + 597\/3060. Let o(q) = 467*q + 11674. Let m be o(-25). Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 4*z + 9. Let w be t(6). Let s be ((-2)\/2)\/(81\/w + -4). Let d(x) = -x**2 + 10*x - 12. Calculate d(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 2. What is n(11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-35\/6) assuming x is positive.\nAnswer: x**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -1\/20*x**5 + 0 - 1\/8*x**4 + 0*x - 2*x**2 + 0*x**3. What is the second derivative of o(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -37, -2, -2\/3, -1, -68 in increasing order.\nAnswer: -68, -37, -2, -1, -2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0157 + 0.094368741\nAnswer: 0.078668741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cttttttdcdtdctdd. Give prob of sequence cdcd.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 - 739*k**3*o - 17*k**2*o + 97*k*o - 102*o wrt k.\nAnswer: -12*k**2 - 4434*k*o - 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105264 (base 8) to base 13.\nAnswer: 13215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5.06. Sort v, 1\/4, -1 in descending order.\nAnswer: 1\/4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1088.325 kilograms?\nAnswer: 1088325000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(-13*n**2 - 15*n**2 + 12*n**2)*(-28 + 7 + 6) as z + l*n + v*n**2 and give v.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*p - 0 - 22, 4*q + 12 = -5*p. Let b be 0\/(2 + (-1)\/4*0). What is the third derivative of -2*m**2 - q*m**4 - m**4 + b*m**4 wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 37 + -7 + -5 + -1. Solve 14*z - n = 10*z - 4*b, 0 = z + 3*b - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-7 - ((5 - 0) + -6))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1941\/16 - -483\/4. Find the common denominator of j and -81\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Three letters picked without replacement from aaaaaaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, f: 3}. Give prob of picking 2 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d - s = -20, 0 = -d + 3*s. Suppose -4*v = -d*f + 3*f + 169, -4*f - 3*v = -192. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -255 + 91. Let b = -115 + 204. Let s = b - u. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6*w = -35. Let n(x) = -2*x - 14. Let z be n(w). Suppose 9*u - 4*u + 20 = 0. Is u at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1173925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 s when three letters picked without replacement from {s: 1, r: 1, x: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**12*(x\/x**1)\/x*(((x**(2\/11)\/x)\/x)\/x)\/x*x**7 assuming x is positive.\nAnswer: x**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 - 8555366*q**2 + 9149298757280*q - 27447819273600 = 0.\nAnswer: 3, 2138840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1040 and 29\/2480.\nAnswer: 32240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4945464 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 4671.\nAnswer: 9342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3426?\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 + 678 = 12*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 3 - 2) + -40 + 14 + (-25 - -65).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c87e (base 16) to base 15.\nAnswer: 3909d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let y(v) = -6*v + 9. Calculate -4*o(f) - y(f).\nAnswer: 2*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26671 - 1d12?\nAnswer: 2475d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3132)\/284 + -35*473\/(-1505)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/10)*g)**(-17\/2)*(g**(6\/13)\/g)\/(g**(3\/23)\/g) assuming g is positive.\nAnswer: g**(-64099\/5980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 185888719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -31?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 2*y + 2. Let q = 0 + -1. Let b be l(q). Let w be (-6)\/((-1 + b)*-2). Solve -w*h - j = -2*j - 10, -2*h - 5*j = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 2*y**2 - 1. Let f(b) = -7*b**5 + 2*b**3 + 4*b**2 - 50*b. Let u(o) = f(o) + 2*g(o). What is the second derivative of u(p) wrt p?\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-17)*i**(2\/25))\/(i**(2\/41)\/(i\/i**21)) assuming i is positive.\nAnswer: i**(-2018\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 38*y = 18 + 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -56 (b) -3 (c) -112 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**2 - 148300270*k + 148300265 = 0.\nAnswer: 1, 29660053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 1. Suppose 9*f = -6*f. Let g(d) be the second derivative of f - 1\/2*d**2 + 1\/3*d**3 - 3*d. Determine 2*g(p) - 3*m(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h\/h**(-8)*h*h)\/h)\/(h**(-5\/7)*h*h*h))**(-40\/7))**(-36) assuming h is positive.\nAnswer: h**(97920\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -778 in 2052, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3075 and 1968.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 913235764 to the power of 1\/2, to the nearest integer?\nAnswer: 30220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29345 or -29346?\nAnswer: -29345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16683 is divided by 206.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1342 (base 5) to base 8\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 10. Let u be 2\/6 - g\/3. Let r = 3 - 3.1. Which is the nearest to r? (a) 3 (b) u (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/6)\/(301\/(-774))*1012\/138?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110100010 - 110112011?\nAnswer: 222210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + (2*sqrt(160)*2 - sqrt(160)) + sqrt(160) + sqrt(160)*2*3)*-6)\/((-1*sqrt(128)*-2 - sqrt(128) - (sqrt(128) + sqrt(128)*-2*3))*-1).\nAnswer: 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 9 - 3. Suppose 0 = -q + 5*o - 7, 0 = -k*q + 2*o + 3*o - 1. What is the remainder when 5 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:05 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-24) + (-2655)\/(-6372)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14603*a**2 - 677. Let i(r) = r. What is i(j(k))?\nAnswer: 14603*k**2 - 677","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -0.5, -2\/7, 71, 1\/5, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1886 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/5)\/k*k**6*(k**0*k)**13 assuming k is positive.\nAnswer: k**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-19))\/2 + 1404\/(-342). Sort -22, v, 1\/2.\nAnswer: -22, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.5 + 24. Let a = 7 - 4. Suppose a*p - 24 = -p. What is the second smallest value in t, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1450095 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 divided by -49?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.948 - -23. Let f = 37.948 + h. Let m = f - 38.5. Put 0.2, m, -2 in increasing order.\nAnswer: -2, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 504\/(-630)*(-10)\/(-24). Let y = 3 + -4. Which is the nearest to 1\/2? (a) y (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j. Let v(z) = -23*z. Let f(x) be the third derivative of -x**4\/3 - 4*x**2. Let m(q) = 7*f(q) - 2*v(q). What is m(a(k))?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-613)\/(2\/(-2)) - -1. Suppose 3*s - t - 937 = 0. Let h = 985\/2 - s. Calculate the common denominator of 29\/18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(-11\/4)*x)\/x*x)\/x*x**(3\/4)*x)**(-46) assuming x is positive.\nAnswer: x**(-299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -1125?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9380284, -18760569, -28140854, -37521139?\nAnswer: -46901424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*o = 16, -2*v = -7*v + 5*o + 80. Suppose 0 = v*f - 1300 + 328. What is the remainder when f is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 7 - k**2 - 1 - 4*k**3 + 3*k**3 + 6. Suppose 0 = 4*s + s - 4*v + 8, 2*s + v - 2 = 0. What is l(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 2, v: 1, t: 1, i: 1, y: 1}. Give prob of picking 1 i and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68550 is divided by 1461.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:21 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -132\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 - 5*s - 3. Let h be (10\/(-4))\/(4\/8). Let d = 9 + h. List the prime factors of l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(35*12\/30)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 21. Let l(w) = -36*w - 15. Let x(d) be the first derivative of -5*d**2\/2 - 2*d - 4. Let p(a) = s*x(a) - 4*l(a). Calculate p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3575015 and 1507?\nAnswer: 39325165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 43*g + 12 - 22 in the form k*g + b and give k.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 2:26 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -268, -64, -4, -5, -13 in decreasing order.\nAnswer: 6, -1, -4, -5, -13, -64, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14734, -29524, -44312, -59092, -73858?\nAnswer: -88604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-10)*25\/(-10). Let m be ((-55)\/s)\/(2\/(-4)). Suppose 59 = 3*j - m. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, 0, -49366691 in ascending order.\nAnswer: -49366691, 0, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807, -796, -781, -756, -715, -652, -561?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 86, 108, 112, 92, 42, -44, -172?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 484 and 1135332?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(10\/(-2) + 0).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 + 2*k**3 + 11*k**3 + 30.\nAnswer: k**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77) + sqrt(77))*3)\/(sqrt(7) - 4*(sqrt(7) + (sqrt(112) - sqrt(7))))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3 + 72\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76aa (base 12) in base 4?\nAnswer: 3030202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5103)\/(-3255) - (-7)\/217 - (-192)\/(-70).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/7))**(-13\/5)\/(o*(o*(o\/(o\/(o**(-1\/2)*o)))\/o)\/o)**(2\/3) assuming o is positive.\nAnswer: o**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + 1 + -1649)\/(1\/(-11)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1, 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13041, -26147, -39275, -52437, -65645, -78911, -92247, -105665?\n\"Answer: -2*k**3 + k**2 - 13095*k + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -20. What is the remainder when 10 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*g + 2*g - 50 = 0, -16 = 2*q - 3*g. Let m = q + 18. Let b(w) = -5*w - 1. Let h be b(-3). Solve -a - 4*n = -4*a + h, -5*a + 2 = m*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let k(m) = 12*m - 1. Let p(x) = k(x) + 6*w(x). What is the units digit of p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 166020604 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*g + 6*b + 5, -b - 1 = -4*g. Suppose -3*z = 3*x + 2*z - 33, 2*z - 6 = 0. Let n be x\/(-8)*1\/12. Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19986 - 19861 - 3*l**3 + 10901 - 21396 + 5119.\nAnswer: -3*l**3 - 45223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 + 1298*b**2\/5 - 2304*b.\nAnswer: -2*b*(b - 640)*(b - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**4\/4 + d**3\/6 - 3*d. Let m(y) be the third derivative of y**5\/10 - y**4\/8 - 367*y**2. What is 3*m(w) + 7*r(w)?\nAnswer: -3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3531 and 749.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgb when three letters picked without replacement from {g: 1, b: 6, o: 1, k: 3, s: 1, m: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 200372167009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 1252013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3241\/23 - -141. What is the third biggest value in 2, n, 9\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231 divided by 1?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 355601.1 (b) -0.1 (c) 1\/6 (d) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/3 + 88*d**3\/3 + 86*d**2 - 574*d. Factor x(z).\nAnswer: 4*(z + 1)*(z + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:33 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7632 - -7581.23. Let h = -51 - u. Let v(m) = -3*m - 1. Let i be v(-1). Is i less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*c**4 - 2*c**3 - 9*c**4 + 9*c**4 + (-c**3 - 3 + 3)*(c - 1 + 1) in the form a*c**2 + b + j*c**3 + z*c + q*c**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 4*f - 5. Suppose -28 = -2*b - 2*u - 12, 5*b = -3*u + 34. Calculate r(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36743 + 36671.908. Round y to the nearest integer.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29695.2 rounded to the nearest one hundred?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 91*y**2 + 23*y + 113. List the prime factors of q(-5).\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*l - g, 9 = -2*l - 3*l - 3*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-9) + (-28)\/6. Let v(r) = 11*r - 5. Let i(s) = 65*s - 30. Let d(t) = 6*i(t) - 35*v(t). Let g(k) = 2*k - 3. Let q(y) = m*g(y) + 3*d(y). Give q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 7*s**2 - 21*s - 23. Calculate w(-7).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65073 is divided by 3249?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 759 and 1512687?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 - 11 = 0. Let c(a) = 3*a - 11. Let q be c(y). Suppose -5*g + 10 = 5*m, -5*g = -2 - q. Sort m, -4, 3.\nAnswer: -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 69*s - 1. Let f be j(1). Suppose 302 = 3*i + 4*n - f, -n - 128 = -i. Let h = i - 37. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14.6, 2\/3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1410266 (base 7) to base 3\nAnswer: 100112002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6062 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.530983 - 17.614. Round m to four decimal places.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Suppose -s - 6 = w*s. Let q be (-1)\/(-6) - s\/(-3). What is the second biggest value in 1, q, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 4:24 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*t*u**3 - t*u**2 - 641*t*u + 4*u**3 + 2*u wrt u?\nAnswer: -144*t*u - 2*t + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -10, 40, -3 in descending order.\nAnswer: 40, 5, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) -12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19983262 to the nearest integer?\nAnswer: 4470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 657 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-18)\/(-4996))*25710\/20. Let h = w - -413607. What is h rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/3 - q**2\/2 - q. Let c = 15 - 4. Let i(x) = 10*x + 6. Give c*t(n) + 2*i(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3097)\/(-9291))\/(3\/(-747)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38.1, -4\/3, -5, -61, -4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2 - 6*j**2 - 6 - 11*j**2 as f*j + a*j**2 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*sqrt(80) - (sqrt(605) + sqrt(605) + 1)*6)**2.\nAnswer: 1296*sqrt(5) + 58356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = -2*a - 2*b, 5*a - 3*b = 20. Suppose 281 = a*m - 159. Suppose 4*d - m = -d. Calculate the least common multiple of d and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-35 + 21 + 323)*(4*h**2 + 0*h**2 - 2*h**2).\nAnswer: 618*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x - 112 = -30*x. What is the smallest value in 2, 5, x, 2\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -3\/5, -444?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - 7*m**2 - m - 1. Let k(c) = c**3 + c**2 + c + 1. Calculate j(h) + k(h).\nAnswer: 3*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 8*c**2 + 5*c - 12. Let g be w(8). Suppose -4*l + 2*l + g = 0. Let y = l + -27\/2. Do y and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 10*f**2 + 13*f - 9. Let d be w(9). Let q = d - 16. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -33*q + 3. Let i be w(2). Let p = i - -106. Suppose -3*l - p = -4*k, 3*l + 2 = -2*k + 19. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a = -110 - 194 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.094 (b) -21 (c) 1 (d) -1\/3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b + 48*b - 22*b + 9*b**3 + 6*b**3 to the form g*b + s + j*b**2 + c*b**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 465*r**2 - 307 + 310 - 134*r**2 in the form u*r + m*r**2 + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5049266 at most 5049265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + x)*(2900 + 470*x - 2900).\nAnswer: 470*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846694 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + 1*sqrt(228) + sqrt(228))*2 - sqrt(228))\/(sqrt(12) + sqrt(768)*1 - sqrt(12)))**2.\nAnswer: 475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78871222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23119141.13 rounded to the nearest ten thousand?\nAnswer: -23120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 407589264053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27266?\nAnswer: 2, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - 1. Let y = s - -5. Let i(b) = -2*b - 2. Let r be i(y). Solve -r = 4*p, v - 2*p = -v + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3))**(-7\/3)*k**(-8\/5)*(k**(1\/3)\/k)\/k assuming k is positive.\nAnswer: k**(-217\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**9\/5040 + v**8\/6720 - 2*v**4\/3 - 12*v. Let q(i) be the third derivative of h(i). Factor q(f).\nAnswer: -f**3*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1715*b**3 + 425*b**2 - b wrt b?\nAnswer: 10290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 0.41.\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7281038611.\nAnswer: 7, 11, 53, 191, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 1, r: 1, o: 1, a: 1}. Give prob of picking 1 d, 1 o, and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127.98 + 128. What is the closest to h in 3, 2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.38 and -0.05.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488029004 to the nearest integer?\nAnswer: 22091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * 637.02.\nAnswer: 33125.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-11084073.\nAnswer: -33252219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 231 - 118 = 34*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*12\/120*(-40)\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w - 266. Let g(j) = j - 38. Let y(t) = 44*g(t) - 6*m(t). Let v be y(-19). Put v, 12, 5 in ascending order.\nAnswer: v, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2898 divided by 43.\nAnswer: -2898\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**2 + 28*l**2 - 53*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + -111 + 53 + -115.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1238230022 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 190205?\nAnswer: 190208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 499492673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j - 106 + 106 to t*j + f and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 599716 divided by -11533?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:34 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 8040 + 320. What is the common denominator of (-6)\/(-20)*a\/44 and 149\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 211201011010101?\nAnswer: 211201011010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.871 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -451*(707\/77 - 10). Calculate the greatest common divisor of 328 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*g - 15 = 0, 9 = z + 215*g - 211*g for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2)*-4)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88290043*d**3*p - 11*d**3 - 908095 wrt p.\nAnswer: -88290043*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 59.23. Let f = b - -1.1. Let w = 2.8 + f. Round w to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, 18, -12\/17, 7, -3\/7 in ascending order.\nAnswer: -3, -12\/17, -3\/7, 0.3, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 24. Let b be j(11). Let v(d) = 39*d**2 - 4*d + 1. What is the tens digit of v(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 213 = 4*v - 207, 0 = 2*y + 2*v + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*y**2 - 76*y**2 + 267*y**2 + 106*y**3 + 356*y**3.\nAnswer: 462*y**3 + 856*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-144)*-14)\/(20\/160)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 91. Let n be ((-1)\/39)\/((-4)\/t). Is 0 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + p**2 - 3*p + 2. Let q be i(1). What is the third smallest value in -2\/13, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323*4.\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w + 4*r, -5*r + 3 = -w - 5. Let u = -598 - -597. Which is the nearest to 1? (a) -0.1 (b) u (c) 0.03 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrwr. Give prob of sequence rrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 993798.4l?\nAnswer: 993798400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145\/439 or 2\/5?\nAnswer: -145\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-3 + (-47)\/(-15)). Let w = g + 3\/20. Sort w, -0.4, 2\/13 in descending order.\nAnswer: 2\/13, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:59 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 966, 967, 968, 969, 970, 971?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*u = 5*t + 1, 3*t - 9 = 2*u. Suppose -4*c - 2*y + 5 = -1, 5*c + t*y - 15 = 0. Is -14\/39 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)\/k)\/k)\/k*k**(-1\/2)*(k**(1\/4))**(1\/29)*(k**0\/(k\/(k*k\/(k\/(k\/(k\/k**(-9))))*k)))**(1\/18) assuming k is positive.\nAnswer: k**(-2185\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1228546?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {l: 5, d: 1, o: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -172. Let k(f) be the third derivative of f**4\/12 + f**3 - 24*f**2. Let r be k(5). Calculate the highest common factor of r and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*z + 8 = -3*n, -4*n + 5*z = 36. Sort -1\/7, 2\/5, 3, n.\nAnswer: n, -1\/7, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -659, 4, 2 in decreasing order.\nAnswer: 4, 2, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4 + 15*t + 13*t - 28*t - 7*t**2. Let h(u) = -15*u**2 - 9. Let z = -86 - -77. Let k be (-1 - -5)*3\/3. Determine k*h(n) + z*x(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 7848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 2, m: 2}. Give prob of sequence om.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126413 (base 9) to base 11.\nAnswer: 52842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -52\/25702657?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88603 divided by -19.\nAnswer: 88603\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14 + 3*z**2 - z**3 + 2*z + 8 + 3. Let k be o(3). Suppose 6*y = k*y + 5205. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 + -2.3. Let n = -0.2 + 0.2. What is the biggest value in n, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 254406?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.6029*-183\nAnswer: -476.3307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 135\/(-33) - (-26406)\/66 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grg when three letters picked without replacement from hgrg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -319 - 806. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547344.01 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 419*c**2 + 693*c - 380. Determine z(138).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/((-3*sqrt(640) - sqrt(640)) + sqrt(640))*3)\/(sqrt(90)*-1 - (-5*sqrt(10)*5 - sqrt(10))).\nAnswer: -sqrt(3)\/184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**4 + 6*r**3 + 6*r - 9. Let i = 1 + -6. Let m(z) = -5*z**4 - 5*z**3 - 5*z + 8. Let f(g) = i*q(g) - 6*m(g). What is the derivative of f(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y - 24 = 61*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (11 - 6)) + -3 - (-13 + (-6 - -49)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0*h - 4*h + 54 - 59 + 3*h**2. Let g(f) be the third derivative of -1\/12*f**4 - 1\/2*f**3 + 0*f + 0 + 1\/30*f**5 - 2*f**2. Give 5*g(u) - 3*z(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = -12*y + 4*y + 18*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/2 - -1*2. Let i = 32 + w. Let u = i - 32. Solve u*o + o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171 + 94. Let b = s - -80. Suppose q - n - 150 = -3*q, -q = b*n - 31. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18812622 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00070111 rounded to five decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and -53.47574333146.\nAnswer: -53.42574333146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 10\/3*f**3 + 2*f**2 + 0*f + 2\/5*f**5 + 2*f**4 + 3. Let w(n) = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50915\/1554 - 1118\/37. What is the common denominator of i and -115\/324?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 43*m - 852 = 0, 3*d - 818 + 852 = 6*d + 2*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00205620432 to 6 dps.\nAnswer: -0.002056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/81)\/((150\/20)\/((-9)\/12)).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 15090?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -81, -71, -59, -45, -29?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m. Suppose 27*d - 23*d - 60 = m. Suppose 0 = 5*n - 0 + d. Which is the closest to 1? (a) n (b) -14 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 0 - 3*c - 1 - 3. What is r(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 4*f**2 + 2*f. Let s be a(3). Let t = s + 7. Suppose -33 = -t*y - 9. What is the least common multiple of y and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.003 and 20?\nAnswer: 19.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 9*y**2 - 12*y - 11. Let r be l(7). Let f = -537\/5 - -107. What is the closest to f in 1\/6, 5, r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*f**3*v**2*z + 182*f**3*z - f**3 + 37*f*v**2 - f*v*z - 88*f*z wrt v.\nAnswer: -26*f**3*v*z + 74*f*v - f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1)*(-3 + 5 + 0)*(21 - 4 - 3)*(-4 + 1 - 7).\nAnswer: 280*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*y**3\/2 + 111*y**2\/2 - 39*y = 0. What is y?\nAnswer: -13, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -544 + -76. Let a = j - -623.01. Let u = a - 0.01. Sort -4, u, -3.\nAnswer: -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 2*x - 5. Let i be f(4). Suppose -i*p = -7 - 2. Calculate the remainder when (6\/(-4))\/(6\/(-20)) is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**3 - 42*f**2 - 56*f**3 + 42*f**2.\nAnswer: -76*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 1, j: 11}. What is prob of sequence heje?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1335 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(1\/2)\/(-1). Let a = q + 3. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17563\/11 + -1601. Suppose 7 = -5*k + o - 26, -2*o - 29 = 9*k. Which is greater: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -51, -91, -147, -225, -331?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 2, e: 7, f: 2, g: 1, q: 5}. What is prob of picking 1 r and 1 f?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)\/(((w\/(w\/((w**(-4\/7)\/w)\/w)*w))\/w)\/w)*(w**(-3\/4))**(-32))**(-3\/5) assuming w is positive.\nAnswer: w**(-501\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -2. What is the second biggest value in 1, r, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/90*3\/(-168)*14.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5248\/(-384) + 0 + 13\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 16. Let z be t(-12). Let n(m) = 2*m**3 + 8*m**2 - 5*m - 17. Let j be n(z). Solve -2*q = -h - j*h + 16, 4*q = -h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(847) - (sqrt(847) - (sqrt(847) + 0 + sqrt(847))))) + (sqrt(315) - sqrt(35))\/sqrt(5) + 4 + (sqrt(70)*2)\/sqrt(10))**2.\nAnswer: -136*sqrt(7) + 2039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.9904234 to two dps.\nAnswer: -42.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f + 3. Let x(n) be the second derivative of -7*n**3\/6 - 2*n**2 - n + 2. Let s(o) = 4*v(o) + 3*x(o). Let c(b) = -22*b. Determine c(s(m)).\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/1)\/(70\/166). Let t = -18\/7 + j. Let h(g) = g**3 - g**2. Let l be h(0). Are l and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4091\/9 + -455. Let j = 101914 + -101913.9. What is the closest to j in -2, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (35 + -11 + -2)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*7\/((-84)\/(-18)). Solve -6*w + k*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -13378\nAnswer: 66890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*i - 1, -f = i + 2*f + 11. Let g = 34 - 36.9. Let l = 3 + g. Which is the closest to -2? (a) i (b) 0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n + 70 = 0. Let l be (18\/(-21))\/((-2)\/n). Differentiate -c - 1 + l + c - 2*c**2 wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 7:51 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Let o = i + 0. Which is the smallest value? (a) 0.3 (b) -2\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 749 = 835. Suppose 5*y - 2*h - f = -h, -3*h = 12. Let n = y - 373\/7. Which is bigger: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 1. Let f = r - 2. Let i(g) be the third derivative of g**4\/24 - 14*g**2. Determine i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1533? (a) 3 (b) 768 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*0.058.\nAnswer: 0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 209 = 105 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + 2*f - 1. Let x(g) = g**2 + g. Calculate u(s) - 2*x(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152676584.\nAnswer: 2, 3, 16009397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, and 1 u when three letters picked without replacement from {u: 1, g: 1, d: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -9006348\nAnswer: -27019044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1. Let u(d) = -d + 11. Let g(y) = -6*m(y) + u(y). Give g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 6) to base 14\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4547*j**3\/5 - 50014*j**2\/5 + 127283*j\/5 + 84\/5 = 0 for j.\nAnswer: -3\/4547, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1005 and 0.08.\nAnswer: -80.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11956 and -0.01187?\nAnswer: 11955.98813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(1 + sqrt(11) + 3) + -4)**2.\nAnswer: 44*sqrt(11) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.8 - 9.\nAnswer: -32.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-84 - -63) + (2 - 0)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207 - 605 + 398 + 213*a.\nAnswer: 213*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10\/113, 12, -2, 593 in ascending order.\nAnswer: -2, -10\/113, 2, 12, 593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0 + 1\/360*f**6 - f**3 + 0*f**2 - 12*f - 1\/12*f**4 - 7\/120*f**5. Let r(t) be the second derivative of n(t). Determine r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**3*p**2 + 2*k**3*p + 124*k - 7*p**2 + 13 wrt k?\nAnswer: 3*k**2*p**2 + 6*k**2*p + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/17 in 1, -0.1, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.727 - 7.72698239. What is j rounded to 7 decimal places?\nAnswer: 0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfk when three letters picked without replacement from yfbffbfbkbfbfffyk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + -0.2. Let h = 0.255 - -0.145. Let z = -1.3 + 1. What is the second biggest value in h, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 s when four letters picked without replacement from zfzzfzcffzcszwcw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -18*v**3 - 2*v**2 + 2. Let r be y(-2). Let x = -43 + r. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800722?\nAnswer: 2, 7, 11, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 58. Let i = u - 34. Let h = -0.06 - 0.24. Which is the biggest value? (a) -4 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -464*v**5 + 237*v?\nAnswer: -9280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -112*x**2 - 2*x - 6. Let j be c(7). Let r = j - -11908. Round r to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1700) + 3).\nAnswer: -50*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and ((-6)\/15 + (-18)\/30)*-10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*z + 16 - 7, 4*z + 4*k - 4 = 0. Suppose -9 = 4*u - 3*i, u + 3*i - 3 = z*i. Suppose u*s + 87 = 3*s - 3*h, h + 4 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 4*t**2 + 2*t - 1. Let d be k(-2). Suppose -2*v + 8 = -2*w, -d*v = 4*w - 2 - 3. Let c(r) = 2*r**2. Let j(z) = -z**2. Give v*c(b) + 7*j(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-108)\/126)\/((-4)\/14). Let b = 12 + h. Find the third derivative of -b*g**3 + 10*g**2 + g**2 + 23*g**2 - 12*g**2 wrt g.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12*n - 5*n + 242255042 = 0, 0 = 5*w - 2*n - 242255012. Round w to the nearest one million.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**2 - 115*o**2 - 2*o + 385 + 2*o**3 + 170.\nAnswer: 2*o**3 - 100*o**2 - 2*o + 555","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171 and 159.\nAnswer: 9063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from fstlflrff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 16 (c) -4 (d) 1\/14 (e) 84 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {u: 7, a: 1, e: 5, v: 2, x: 1, c: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2 + (-28)\/(-2). Suppose 0 = -0*n - 4*n + p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -555 - -580. Is u greater than -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 41 (c) -1\/226 (d) 0.1 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 + 5*i - 5. Let t(z) = -23*z**2 + 5 - z**3 + 23*z**2 + z. Let u be t(0). Let b(j) = -2*j**2 + 4*j - 4. Calculate u*b(w) - 4*m(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**2\/9 - 140*g\/9 + 1088\/3 = 0.\nAnswer: -51, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.182 and 101817.9534977.\nAnswer: 101818.1354977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 23161)*((-3)\/(-6))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 197*i. Let t(o) = 37*o. Determine t(j(y)).\nAnswer: 7289*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 13}. Give prob of picking 2 m.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, j: 3, p: 2, b: 3, f: 3}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382465, -1529799, -3442021, -6119131, -9561129, -13768015, -18739789?\nAnswer: -24476451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + 1*(sqrt(320)*-5 + sqrt(40)\/sqrt(2)*-4)).\nAnswer: -144*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/110901 and -32\/15843.\nAnswer: 110901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-9))\/2*15\/2. Put k, -85, 4 in increasing order.\nAnswer: -85, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**2 - 4*l + 4. Let g(w) = -8*w**2 - 5*w + 5. Let u(c) = -4*g(c) + 5*s(c). Let p(k) be the first derivative of -5*k**2 + 4. What is u(p(i))?\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, q: 1, y: 7}. What is prob of sequence yyqn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 10, -2*l + 11 + 3 = 3*s. Sort 5, 0, 3, l in descending order.\nAnswer: 5, l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3992.78 + -3985. Which is greater: r or -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14784584 is divided by 156?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 10*r**2 + 2*r + 6. Let g(z) = z**3 - 11*z**2 + 2*z + 6. Let i(l) = 4*l + 15. Let f be i(-3). Let w(a) = f*g(a) - 4*u(a). Determine w(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418, -362, -290, -196, -74, 82, 278?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132770087 rounded to 5 decimal places?\nAnswer: 0.13277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 4*a + 3. Let c be y(-4). Let x be 78*3\/9*1. Solve -4*f - c*b + 24 = -f, -4*b + x = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*n - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*r - 39, 4*r + 1 = -11. Suppose 0 = 3*k, 5*m - g*k + 8*k + 10 = 0. What is the least common multiple of 12 and ((-16)\/6)\/(m*1\/6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t. Let v(g) = -4*g. Let o(c) = 4*i(c) + 6*v(c). Suppose -3*n + 2*n - 2 = 0. Is 8 a factor of o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 + -187.6. Which is the nearest to -0.1? (a) s (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 greater than -610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 4, -168*x + 167*x - 4 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 5 + (71 - 75)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(((-8)\/2)\/192). Let h be (-6)\/27 + 140\/l. Sort -0.5, h, -3 in ascending order.\nAnswer: -3, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10609106.04 to the nearest ten thousand.\nAnswer: 10610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47901 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7789524 to the nearest 10000.\nAnswer: -7790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -735.78397 to one dp.\nAnswer: -735.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, m: 2, f: 3, c: 5}. Give prob of picking 3 f and 1 m.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/9 + 11\/18. Let z be (-1)\/3 - (-67)\/21. Let n = 93\/35 - z. What is the smallest value in n, -4, m, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/19626 and 39\/2?\nAnswer: 19626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 282 = -4*x + 292, -3*t + 3*x - 3 = 0. Solve -t*b + 9 = -n + 1, b = 4*n - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 10) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43a85 (base 13) to base 10.\nAnswer: 122634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55953388 and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29002 and 754052.\nAnswer: 754052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94400*q**2 - 73761*q**2 - 14812*q**2.\nAnswer: -182973*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shpqgap. Give prob of picking 2 s, 1 p, and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4.3 (b) -5 (c) -8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 9. Suppose -3*y + 13 + 17 = z. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13181257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 526*r - 2*r**3 + 23*r**2 - 25*r**2 - 3 - 517*r + 2 in the form w*r + p + f*r**3 + b*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121941*l + 2*l**2 - 121941*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Suppose 3 = h*c + c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:34 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -1\/2 (c) 1 (d) -4 (e) -438\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 8835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.1. Let b = 0.13 - 0.83. Let s = b - -0.5. Sort -3, o, s.\nAnswer: -3, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 17109250?\nAnswer: 51327750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -252*x - 1228. Let z be l(-5). Solve -z*i + 40 = -42*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u - 2. Let h be u*(1 - (-2)\/(-1)). Put -4, h, 5 in decreasing order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 25*g + 7. What is f(24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(60)\/sqrt(75) + (3 + sqrt(80) - sqrt(20)))**2*-3.\nAnswer: -562\/5 - 216*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*d - d + 2*y, 3*d + y - 19 = 0. Let f(w) = -w**2 + 7*w + 9. What is the remainder when f(7) is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4))**27*(q*q\/(q*q**(3\/5)*q)*q*q*q)**(1\/2) assuming q is positive.\nAnswer: q**(-534\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -129536, -129537, -129538, -129539, -129540?\n\"Answer: -v - 129535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 35*d**3 + 25*d**2. Let b(p) be the third derivative of -p**6\/20 - p**5\/15 + p**2. Suppose -38*g = -213*g - 498 - 202. Determine g*q(v) - 25*b(v).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -226 (b) -3 (c) 313 (d) -0.4 (e) -0.03 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243 - -306. What is the greatest common factor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -4780?\nAnswer: 477d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 13 = 4*i, -3*i - l - 4*l - 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100111101001000 - 0?\nAnswer: -100100111101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -150763 - 5224?\nAnswer: -156207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.6482695 and 2701.\nAnswer: 2703.6482695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 2.141\nAnswer: 17.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1950 divided by -39\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i + 174. Let s be g(34). Suppose -9*p + 875 = -s*p. What is the greatest common factor of 25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(1\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-6)\/144*(-24)\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 26*k - 9 + 2*k**2 + 26*k to the form x*k + r*k**2 + m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pytyttttpppttytyttt. Give prob of picking 1 t and 1 y.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 1017*i**2 + 114921*i - 4328691.\nAnswer: 3*(i - 113)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 9) to base 14.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 1, o: 8, s: 2, b: 2}. What is prob of picking 2 o?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829036 is divided by 7987?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v. Suppose v = 4*x + 5*b - 179, -34 = -x + 4*b - 5. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -12*q + 15*q - 135, 0 = -2*o - 3*q + 63. What is the remainder when 469 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9129?\nAnswer: 3, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 124835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0469466 + -0.2.\nAnswer: -0.2469466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 82 = -o - 94, 0 = -5*z - o + 426. Let u = z + -60. Let c(t) = t**3 + 6*t**2 + 3*t - 1. What is the remainder when u is divided by c(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349981 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 2*h - 3*h + 2*h**2 - h as v + a*h**2 + b*h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(180)\/(1*sqrt(10)) - (sqrt(18)*-1*2 + sqrt(18))**2 - (-4 + sqrt(90)\/(sqrt(25)\/sqrt(5)))**2).\nAnswer: -57 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 36 = 3*x. Let r = x - 5. Solve 2*o - r = 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -32.33. Let n = -0.16 - o. Let i = n + -0.07. Which is the third smallest value? (a) -5\/4 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u - 40 = -56*u. Find the third derivative of 51*z**3 + 59*z**3 + 13*z**2 - 1 - 62*z**3 + u wrt z.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/((-4)\/(-75)) - -4 and 61\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-5 + (-10)\/(-3)). What is the closest to 1 in v, 2\/5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2073175?\nAnswer: 5, 13, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001035114015 rounded to 7 dps?\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.7 + 24.559. Let g = -0.041 - i. What is the biggest value in -0.2, g, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**4\/12 + 4*a**3\/3 + 5*a**2\/2 - 5*a + 1. Let l be (2\/(-2))\/(1\/7). What is q(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2025)*3*4*4)\/((4*sqrt(300)\/sqrt(5))\/(-6*sqrt(48))).\nAnswer: -1296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 16. Suppose -4*r + 104 = u - 3*u, 3*r - 92 = 5*u. Solve 10*a - b = r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wis when three letters picked without replacement from wtswiitsi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 6*k - 6. Let c = 9 - 4. Calculate the remainder when x(5) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1924, -7438, -16630, -29500, -46048?\nAnswer: -66274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 267133751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1014*u**2 - 1912*u**6 + 1434*u**6 - 111*u**2 wrt u?\nAnswer: -57360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*o + 3 = -4*t, 3*t - 4*o = -9. Let u(m) = 4*m + 4*m + 1 - m**2 - 4 - 12*m. Let n be u(t). Solve -3*x - 4 + 1 = n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 17. Let i(a) = -3*a**2 - 62*a + 312. Let p be i(-24). Let k = p + s. What is the greatest common factor of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178 and 84.\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, s: 3, z: 5, x: 6}. Give prob of picking 1 s, 1 j, and 2 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-18))\/(869\/237)*11\/((-88)\/1416)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3045159\nAnswer: -1\/1015053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, a: 2, b: 1, z: 2, g: 1}. What is prob of picking 1 z and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.052 in -0.118, 1, 3, 3\/2, -2\/11?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 10*m**2 - 5*m + 35. Let q be i(10). Let p be 5\/q*3 + 8. Solve d - 4 = -p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 22*v**4 + 165*v - 148. What is the derivative of f(d) wrt d?\nAnswer: 264*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*v + v = 2*v - 203, 11*o + 25*v - 1275 = 11*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2976 divided by 24\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 8. Let l be 4\/k*(-12)\/8. Suppose l*z = 4*z - 36. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 4. Suppose -20 = 5*j + 40. Let h = j + 20. Let n be t(h). Solve -2*k + 3*f - 9 = k, 4*k + 5*f + n = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8157232 and 5624.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*k**3 - 4\/7*k - 4*k**2 + 4.\nAnswer: 4*(k - 7)*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11571?\nAnswer: 3, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmaammammmamaaa. Give prob of sequence mmma.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -0*r + 3437. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(1331) - sqrt(11) - ((sqrt(11)*1)**2 + 4)) - 2*-5*(4 + sqrt(99)\/(sqrt(9) - sqrt(225)))**2.\nAnswer: -70*sqrt(11) + 1855\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368267745?\nAnswer: 3, 5, 103, 238361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*i**2 - i + i.\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**3 + 17*g**2 + 22*g + 3. What is z(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4571, 9219, 13941, 18755, 23679, 28731, 33929?\nAnswer: 39291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 766857 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 27456*s - 1899231. What is z(69)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.75 + -0.25. What is the biggest value in 0.05, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-5) + -12 + 7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247 + -244. Solve 3*d**3 + 0*d**a - 117 + 87 + 12*d**2 + 0*d**2 - 21*d = 0 for d.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002424086 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-3)\/9)*1. Suppose -v = p*v + 40. Is 15 a factor of (6\/4)\/(-1)*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1823*m = 1214*m - 63945 for m.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 93917514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24a - -f?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1000578 and 1000574 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/10 (b) -5 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 3\/5 (c) 0.5 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwbb. What is prob of sequence www?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2617 + -3.\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134378 - 77014 = 16472*d + 29982 + 22178 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23220 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13932 and 4?\nAnswer: 13932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 9762*r - 9764.\nAnswer: 2*(r - 1)*(r + 4882)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 6*h**2 - 5*h - 5. Let w = -13 - -7. Let q(b) = 4*b**3 - 4*b**2 - 6*b - 6. Let g(j) = j**2. Let u(c) = -3*g(c) + q(c). Give w*v(a) + 5*u(a).\nAnswer: 2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74107 or 74111?\nAnswer: 74111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-10)\/8 - -2). Let n = 0 + -1. Which is the nearest to n? (a) 4 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 smaller than 1324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2139*u**3 + 2090*u**3 - 8*u**2 + 1 - 4147*u**3 as f*u**3 + i*u + p + b*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 276 * -0.3\nAnswer: -82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2 + m. Let a be n(0). Suppose 4*u + l - 31 = a, 5 = 3*l + 20. Suppose 3*s - u - 27 = 0. Solve 0 = -4*c - 2*i - 5 - 13, i + s = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939593069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 717 + -645. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(40\/(-200))*4\/(-12)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 122\/7, 4, -85, 1 in increasing order.\nAnswer: -85, -1, 1, 4, 122\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1511 - -1213. Which is smaller: l or -300?\nAnswer: -300","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l**5 + 92*l**4 + 80*l**3 + 16*l**2 = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -19 + 24 - -4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let k = 5 + 15. Suppose 14 = 2*q + 2*h, -q + 4*h + 7 = k. Solve s*b + 3*l - 32 = -2*b, -q*b - 5*l = -35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -64*b - 59. What are the prime factors of p(-5)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3 = 2*x, 35*x - 30*x = f - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 20012*c**2 - 543352*c - 563360.\nAnswer: 4*(c - 28)*(c + 1)*(c + 5030)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 36 (b) 3\/7 (c) 0 (d) 5 (e) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19575935 divided by -4?\nAnswer: 19575935\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjk when three letters picked without replacement from {k: 3, j: 17}?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 1749*d**4\/4 + 2*d**3\/3 - 663*d**2\/2 - 1751. Find the second derivative of c(w) wrt w.\nAnswer: 10494*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243743711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -899*z = -898*z - 1059. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -25, 2*y - 4*g = -26 - 4. Put y, 4, 1 in descending order.\nAnswer: 4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 658*t - 662*t. Calculate the greatest common divisor of 22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 586920*i**2 - 21516187392*i - 990986932096.\nAnswer: -4*(i - 73388)**2*(i + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 33*h**2 + 40*h + 206. Let s be y(-34). Solve -3*a = 5*d - 19, 2*d - s*a = -0*a - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 7. Calculate z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801.4225318 rounded to 1 dp?\nAnswer: 1801.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 387 + -384. Let q(s) = 3*s**3 - 6*s**3 + 14*s**2 + 2*s**3 + 2*s**v - 10*s**2. Let u(r) = r - 4. Let b be u(0). Give q(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - -0.52. Let z = 208\/13965 - 3\/490. Let g = -25\/38 - z. What is the closest to -0.1 in 1, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 36. Suppose -5*j - 4*r + 31 = 11, 5*j = -5*r + 25. Let x be m(j). Let t = x + -3. What is the remainder when 63 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 7*p**2 - 6*p**2 + (-4*p**2 + 5*p**2 - 2*p**2)*(-4 - 1 + 4) + (-4 + 2 + 1)*(5*p - 4*p + p)*(0*p + p + 0*p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040682 - 1?\nAnswer: -1.040682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + p + 518 = 0, 2*x - 445 = -5*p + 591. What are the prime factors of x?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -9?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*w**3 - 14*w**3 - w**2 - 18*w**5 + 7*w**3 wrt w?\nAnswer: -1080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o + 17*o)*(-o**2 + 68 - 378*o**2 + 72 - 140).\nAnswer: -6822*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 48*q**2 - 1. Does 19 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 494, 733, 974, 1217, 1462?\nAnswer: 1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) 2\/7 (c) 3 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 26. Solve -7*q = -4*q - x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**4 + 2*r**3 - r**2 + 2*r - 2. Let b(q) = q**3 + q - 1. Let h(w) = 2*b(w) - u(w). Find the third derivative of h(c) wrt c.\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/1*(176\/(-110) + 2). Determine z so that -1\/2*z**3 + 0*z + 0 + 1\/6*z**4 + 0*z**k = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 34*q + 84. Let t(u) = 13*u**2 - u. Give i(t(y)).\nAnswer: 442*y**2 - 34*y + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -55*p**4\/8 - p**3\/6 - p**2 + 91. Let f(a) = a**3 - a + 1. Let j(u) = -2*f(u) + w(u). What is the derivative of j(n) wrt n?\nAnswer: -6*n**2 - 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450174 - -1329317. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)**(-25\/3))**(1\/39) assuming r is positive.\nAnswer: r**(25\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*x - 4*f, -1 = -x + 3*f + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16935 is divided by 7913?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:07 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h*o**3*y - 36*h*o*y + 52*h*y - 1458*o**3*y - o**3 - 12 wrt h.\nAnswer: 2*o**3*y - 36*o*y + 52*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47980000 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 6*c**2 - 9*c + 2. Give o(-8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-1)\/(-2)) + 12. Suppose 3*j + 0*i - t = -i, 4*j - 4*i = 24. Find the second derivative of -5*u - 3*u**2 - 4*u**2 - 6*u - j*u**2 wrt u.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3203120 - 13210203?\nAnswer: -10001023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 + 6*f + 8. Let s(h) = 2*h**3 - h**2 - 2*h + 1. Give m(x) + 3*s(x).\nAnswer: 6*x**3 - 7*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 656347608 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.074 (b) -30 (c) -0.3 (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -122*z + 3060. Let t be h(25). Which is bigger: t or 438\/41?\nAnswer: 438\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/273 and -76\/57575?\nAnswer: 2245425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-12) + (-5)\/(-4). Let v be (t\/(-4))\/((-2)\/24). Solve -4*z + z + v = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3\/3 + 944662*r**2 - 334644388010*r - 1003935998018\/3 = 0.\nAnswer: -1, 708497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nalr when four letters picked without replacement from zalalkralzkran?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-45)*54*(140\/6)\/(-7)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a + 104. What is j(-17)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/((-6)\/(-84)*-49*18\/(-28)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 536377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -0.9. Let o = -20 + 22. Is o not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from wxwwwxwww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/8280 and 187\/4140?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.08, 260, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 35*c**2\/2 + 5*c + 15. Let r be m(2). Suppose w - 227 = -r. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 414 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 7:53 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -1 (c) 2\/7 (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**7\/14 - 3*g**6\/10 - 9*g**5\/20 + 7*g**4\/4 + 3*g**3 + 209*g. Factor f(l).\nAnswer: 3*l*(l - 3)*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8320\/(-299) + -5 + 18 + 15?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752 divided by -438?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 30 = -10*j. Let g = 15 + j. Which is the third biggest value? (a) -0.3 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002845973 rounded to six decimal places?\nAnswer: 0.002846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 813 by 3013.\nAnswer: 813\/3013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -7 - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/2 + (0 - 0). Suppose -3*l - x*o = 10, -4*l + 2*o = 5*o + 6. Solve 4*c + 0*c + 8 = l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -84*v - 382. What is the units digit of w(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239107 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7710657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17138\/3 + 5712. Put -5, m, 0.4, 1.6 in increasing order.\nAnswer: -5, m, 0.4, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7698*h - 100092. What is g(-13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.800692 litres?\nAnswer: 9800.692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7e58c89 + 3?\nAnswer: 7e58c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -164650 + 164654. Let n = -3 - -2. What is the nearest to n in -0.2, 2\/15, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -74375, -14, 1\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-3)*14\/35. Let g = 1497 + -1499. Sort g, -4, -0.012, y in increasing order.\nAnswer: -4, g, -0.012, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*r + 38. What is the greatest common factor of r and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/14427210 and -68\/317695?\nAnswer: 4515716730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 21 = 2*l, -3*f - 5*l + 10 = 2*f. Find the third derivative of -4*i**2 - 3*i**f - 70*i**3 + 70*i**3 wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 159860*u**2*v**2 + 2*u + 213*v**2 - 32*v + 2 wrt u?\nAnswer: 319720*u*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 30 = -5*k, k = -3*m - 3*k + 27. Suppose 0*v = v + m*f + 21, 4*v + 5*f + 9 = 0. Let i = v - -2. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + 0*o**2 + 0*o**2 + (0*o**3 + o**3 + 2*o**3)*(1 - 1 + 2))*(1 - 1 - 2) - o**3 - 8*o**3 + 17*o**3 to c*o**3 + j*o**2 + n*o + w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 1 + -4)\/(1194\/(-10097061))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + -110120202120?\nAnswer: -110120201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 3\/22 (c) -3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t, -3*u + 4*t + 643 = -6231. Calculate the remainder when u is divided by 209.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -291*y**5\/5 - y**4\/4 - 124*y**2 + 230. What is the second derivative of w(r) wrt r?\nAnswer: -3492*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25718246 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let x = 4 + 0. Let s be ((-15)\/(-6))\/(2\/x). What are the prime factors of d(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 27. Let a be s(-10). Suppose 4*h + 3 + 1 = 0. Let t = h + a. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3038, 678, -1704, -4120, -6582?\nAnswer: -9102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 - 1330\/(-315). Solve -2*j + 2*g + 16 = 2, r*j - 3*g - 24 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 7*c + 3. Let o be q(-7). Suppose -m - o = -13. Suppose -k - 4 = -4*l + 2*k, -5*k + 3 = 3*l. Solve 2*a + 2*a - l = 5*b, -2*b - a + m = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 105*h = -104*h + 13, -2*h + 13 = 5*x. Solve x*w + q + 9 = 0, 1 + 10 = 2*w - 5*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s - g = 365, -3*s + 3*g + 231 = 0. Suppose -p + 83 = 2*w - s, -p = -w + 70. What is the remainder when w is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b4b (base 12) in base 16?\nAnswer: -282b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4839933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -101 - 6) + -30 - (3 - 6)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**3*k**4 + 10*f**3*k**2 - 91*f*k**6 + 72*f*k**2 wrt k.\nAnswer: -96*f**3*k - 10920*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-20)\/(-5))\/(8\/916))\/(-2). Let b = o + 231. Solve 2*n + 6 = b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -14. Let k = -16 + n. What is the tens digit of -33*(10\/k - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -59, -117, -197, -299, -423, -569?\n\"Answer: -11*o**2 - 3*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*-6 + (-3804)\/317.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 499 - 495. Is ((-2)\/z)\/(4 + 189768\/(-47440)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 1634*w.\nAnswer: -1634*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15660 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04345 to three dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -600.6 - -600.6. Which is smaller: -178 or o?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h**3\/3 + 57310*h**2\/3 + 54596*h + 32760 = 0 for h.\nAnswer: -2, -6\/7, 8190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q**3 - 2*q - 5. Let f(x) = x**3 - 8*x**2 + 10*x + 9. Let a be f(6). Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7820 - -7819.3. Which is the biggest value? (a) 0.5 (b) f (c) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*y + 4*x, 0*y - 5*x + 7 = 2*y. Let v(p) = 0 - p + 18*p**2 + 0. Does 17 divide v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 5*l**3 - 541753*l**2 + 541753*l**2.\nAnswer: 5*l**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 467550*0.5.\nAnswer: 233775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t + 18. Let u(k) = -6*k + 11. Let l(y) = -7*y + 13. Let q(p) = 5*l(p) - 6*u(p). What is b(i) + 6*q(i)?\nAnswer: -2*i + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14259 + 5005 = -14*k. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7ba - 4?\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1. Let f be m(-3). Let l be ((-1)\/f)\/(2\/24). Let h(u) = -u + 7. Let o be h(l). What is the greatest common factor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**3 + 48*z**2 + 8*z - 7. Determine h(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-17 - -8) - (9 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 215\nAnswer: -64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2668*b - 4507*b - 3404*b + 0*b + 0*b + b + (2*b + 2*b - 2*b)*(3 + 2 - 4) + b - 5 + 5 to the form a + v*b and give v.\nAnswer: -10575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uburbbd. What is prob of sequence bd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*o + 22 = 5*s, 6*o + 11 = o + 4*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 55\/(-110)*92.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1334400 to the nearest ten thousand.\nAnswer: -1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -t + 13, q = 3*t + 4*q - 15. Let d(h) = h**2 + 9*h - 9. Let z be d(-10). Solve k = -v - k + z, -k - 7 = t*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1467 = -135*n - 5382 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + 2 + -1.\nAnswer: 1 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*f - 63 = 0, 0*k + 54 = 3*k + 2*f. What is the remainder when 19*3\/(1 + 2) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.948 - 29.545?\nAnswer: -59.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1331 + -167707\/126. Let a = b - 1018\/63. Calculate the common denominator of -101\/4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11530 to the nearest one hundred.\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 967785 and 253113.\nAnswer: 16452345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5*r + 34 = -65 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -2, -0.5, 0.1022, -3?\nAnswer: 0.1022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 1, -0.5, 2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 68628 divided by -6\nAnswer: -11438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.0913 from -5610654.\nAnswer: -5610655.0913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r + 58*r + 6*r + 59*r + 10*r.\nAnswer: 163*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + 3*t**2)*(4 - 4 - t**2) + 3*t**4 - t**4 - 4*t**4 + (0 + 3 - 1)*(0*t**4 + 2*t**4 - 4*t**4).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 305*a. Let p(s) = 2*s**2 - 157 + 157. Give p(g(z)).\nAnswer: 186050*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {c: 5, r: 4, j: 1, g: 4, q: 5}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49456 rounded to three decimal places?\nAnswer: 0.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2063*n**2 + 6992*n**2 - 1556*n**2 + 12207*n**2 - 33*n**2 to h + x*n + t*n**2 and give t.\nAnswer: 19673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 96537 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + x**3 + 0)*(5*x + 3 - 3) + (x**2 + 0*x**2 + 0*x**2)*(-2*x**2 + 0*x + 0*x).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1915862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 31 = -2*c, -7*m = -4*m - 5*c. Suppose -m*g + 511 = -629. Which is smaller: 229 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-28)\/(-12))*(-2 - -3) + 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17\/131 (b) 1\/8 (c) -0.02 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10742009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - y + 7608 + 173, 4*w - 10372 = -4*y. Suppose w = 3*x - 5*o, -4*x - o + 3436 = -2*o. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c + 5. Let a(w) = -w. Let r(k) = 3*a(k) - u(k). Let h be r(5). Solve h = -2*d - 3*o - 1, -7*d + 2*d - 19 = 2*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79755402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001708 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4431 + -1?\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 1. Let l be n(-3). Suppose -l*y = y - 27. Suppose p + 5*x + y = 31, 0 = -2*p - 5*x + 24. Solve -v + 2 = -j - p*v, -3*j + 6 = -3*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 + 66. Sort 16, -4, c.\nAnswer: -4, c, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -327, 0, 3\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)*-3 + sqrt(550) - sqrt(550))\/sqrt(10) - sqrt(55))\/(sqrt(396) - (sqrt(396)*-2 + sqrt(396))) - (5 + (sqrt(5) + (sqrt(80)*-2)**2)*-1 + -5).\nAnswer: 2*sqrt(5)\/3 + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 33 + 17. Let x be (-2)\/b - 458\/10. Let d = x + 89. Calculate the remainder when d is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127.763 - -1.863. Let b = r - -133. Let w = b + -2.9. What is w rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/4763168 and -103\/96.\nAnswer: 14289504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2397 + 2397.01891. Round q to four decimal places.\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27881099?\nAnswer: 59, 472561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.296603 * -63.8.\nAnswer: -18.9232714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/7, -32\/122551, 0.5?\nAnswer: -32\/122551","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*-1*sqrt(95))\/((sqrt(245) - (sqrt(245) + sqrt(245)*-2)) + sqrt(20)\/(sqrt(4) + sqrt(16)\/sqrt(4))).\nAnswer: 24*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*l**3 - 63*l + 3*l**4 + 222*l**2 - 90 - 333*l + 306 = 0. Calculate l.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203032223311 - 211?\nAnswer: 203032223100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twkclwdck. Give prob of picking 1 w and 1 c.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-62 - -59 - (3 + -7 + (-16 - 4)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -14*v - 9. Let x be j(10). Let o = x + 32. What are the prime factors of (-4)\/(-8) - o\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (1 + 0)\/((-1)\/(-89)). Let j be 22989\/(-28) - (-26)\/c. Let h = j - -36001\/44. What is the common denominator of 27\/2 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 855 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 731 + -708. Let u(b) be the third derivative of 13*b**6\/120 - b**5\/30 - b**4\/12 + b**2. Let m be u(2). What is the highest common divisor of g and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2\/9*u**3 - 8 - 2\/3*u**2 + 1\/6*u**4 + 0*u. Suppose i(j) = 0. Calculate j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Let k(f) be the first derivative of 0*f**2 - 2 - 2\/5*f**5 - 2\/3*f**3 + 0*f + 0*f**m. What is the third derivative of k(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 10176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -66*i + 173. Let n(b) = -15*b + 43. Give -2*c(f) + 9*n(f).\nAnswer: -3*f + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.3 - 2.76. Let w = j - 3.04. Round w to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0. Let g = -10.1 - -10. Let r = g - m. Is -3 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.32835 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2665 - 13262\/5. What is the common denominator of h and 8723\/183 + (-2)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 7*i**4\/2 - 2*i**3\/3 + 1341*i - 1094. Differentiate u(n) with respect to n.\nAnswer: 42*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6*((-716)\/8 + -2). Let d = 30 + r. Which is the nearest to -2? (a) 3 (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 31*p - 35*p + 2*p**2 - 3 + 0*p**2. Let o be m(3). Find w such that 6\/7*w**o + 2\/7*w + 2\/7*w**4 + 6\/7*w**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 34*r + 15.\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.179 in 3, 0.4, 2\/7, -0.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**2 - 2\/3*v**3 + 11 + 0*v. Let y(z) = -2*z**2 - 3*z. Let q = 2 + 1. Determine q*g(d) - 2*y(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 924 - 924 - 26*q**3 + 25*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -174513.902 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) 0.32 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let b = -15.95 + 16. Let r = 0.04 - b. Put r, -0.2, u in descending order.\nAnswer: u, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -5. Let a be (-18)\/(-15)*y\/(-2). Let -2*f**2 + 7*f**a - 5*f**4 - f**4 - 13*f**3 - 2*f**5 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193380 times -1?\nAnswer: 193380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -15*x**3\/2 - 180*x**2 + 134*x. Let y be z(-8). Which is smaller: 2\/679 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = 23*l - 5*a, 0 = 5*l + 3*a. Let t be (-2)\/(-4)*(-4)\/(-2). Put -25, t, l in increasing order.\nAnswer: -25, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1146 - -10?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8937138, -8937137, -8937136?\nAnswer: -8937135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2116*d**2 + 0*d**3 - 2116*d**2 - 22*d**3.\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36345*u - 5*q = 36340*u + 106 - 31, -u + 2*q + 3 = 5*q for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3887, 8149, 12411, 16673?\n\"Answer: 4262*j - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -3*q**3 + 12. Let l(b) = -2*b**2. What is g(l(m))?\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 - 88*w - 22. Let d(k) = k**2 + 24*k + 6. Let t(f) = -6*a(f) - 22*d(f). Let j(b) = 2 - 1 - 314*b + 2*b**2 - 1. Give j(t(s)).\nAnswer: 8*s**4 - 628*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 26.02346.\nAnswer: 52.04692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127650 - 31915 - 31912 - 31909 + 10*p**2 - 31914.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1160 - 1152. What is the remainder when -2*(1 + 82\/(-4)) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 - 5*i**4 - 7*i**4 - 6*i**4 + 15*i**4 + 12*i**4 + (-3*i - 2*i + 3*i)*(i**3 - 3*i + 3*i) + 0*i**2 + 2*i**4 + 0*i**2.\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -160*d**2 + 538*d**2 + 207*d**2 + 88*d**2 + 121*d**2 in the form b*d**2 + n*d + l and give b.\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 3)*(-4 + 5 - 2)*(-3 + 5 - 1)*(-134*r - 337*r - 102*r) as q + k*r and give k.\nAnswer: 1719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + sqrt(114) + 2*sqrt(114))*5 + (sqrt(114) - sqrt(114)*-1)*2)\/(((sqrt(462) - -1*sqrt(462))\/sqrt(11))\/sqrt(7)))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 179*z + 843. Let j be d(-5). Sort j, -44, -3, 5 in descending order.\nAnswer: 5, j, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 3*d + 3. Calculate the lowest common multiple of j(-2) and 17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + p - 8 = 0, -k - 2*p - 14 = -3*k. Let o = k - 2. Suppose -2*m - 2*f + 33 = -o*f, -15 = -m + f. Solve s - m = -4*s + 3*a, -2*a - 11 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 46.95?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3004, -2182, -838, 1034, 3440?\n\"Answer: z**3 + 255*z**2 + 50*z - 3310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4\/3 (c) 0.03 (d) -5 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 4, e: 6}. What is prob of sequence ss?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27478, -54959, -82440?\n\"Answer: -27481*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from lllqqqll?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 - 5*d**2\/2 - 33*d\/4 - 9.\nAnswer: -(d + 3)**2*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133.15 + 130.15. Let b be 1 + 2*3\/(-14). Sort b, q, -1\/2, 0.4 in decreasing order.\nAnswer: b, 0.4, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268.802537 rounded to 1 decimal place?\nAnswer: -1268.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, x: 4, k: 3}. What is prob of picking 1 x and 1 k?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2678?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 - 21*b - 5. Let v(z) = -2*z**2 - 10*z - 2. Calculate -2*c(m) + 5*v(m).\nAnswer: -2*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 + 6*s**2 - 3*s**2. Let b(a) = 2*a - 5. Let m(j) = j + 5. Let n be m(-11). Let u(g) = 2*g - 6. Let r(p) = n*b(p) + 5*u(p). Determine z(r(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001753967649 to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -1\/102 (c) -0.1 (d) 29 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78809 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}